This lesson is organized in a discovery format with students reviewing concepts of place value for whole numbers first and applying these concepts to decimal numbers. Visual representations of place value were used to help solidify the concept of the ratio of 10 and
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between place values. Students practice identifying place value names and the numeric value of digits in any place value with partners, and present their findings to the class. Students are also asked to extend their understanding of written forms of numbers by writing both multidigit whole numbers and decimal numbers in several different ways. Several remediation and extension activities are suggested to help deepen student understanding of these concepts. Lessons 2 and 3 will scaffold on the ideas presented in this lesson by using similar activities and strategies to identify more patterns with ten, and compare and round decimal numbers.
Prior to students arriving, write a six-digit number on the board using six different digits from
1–9. Also cut out large paper labels with the first six whole number place values written on them (ones, tens, hundreds, thousands, ten-thousands, and hundred-thousands). If using an interactive whiteboard, create a separate rectangle for each label that can be easily moved around on the screen. Do not display the labels right away. Wait until students have had a chance to come up with them on their own during the Think-Pair-Share activity.
For example: 261,594
![](data:image/png;base64,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)
Think-Pair-Share Activity
“Take out a half-sheet of paper. Each of you should write down this number in the center of your paper.” Ask half of the class to write the names of the place values of each digit below the digits. Ask the other half of the class to write down the value of each digit above the digit. Allow approximately 3 minutes for students to work alone. “Now turn to your partner and share your results.” Give students 1–2 minutes each to share.
Next you will select six students randomly from the first group to share one of their place value names. Hand each of these students a paper place value label (or allow them to move a label on the interactive whiteboard) to place below the digit that represents their assigned place value on the board. The students should sit down once they place their labels. If others who worked on the place value side of the room feel a label has been placed out of order, allow them to explain why they think so. If they are correct, allow them to adjust the position of the label.
![](data:image/png;base64,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)
“Does everybody agree that the labels are correctly placed? Are all the digits marked with the correct place value?” Once the group agrees that all six labels are placed correctly, review the names with the whole class.
Select six students from the group who worked on the digit values to each record the value of one digit above the number on the board. Allow other students to offer suggestions on any digits that are not correctly labeled.
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)
“Now we will look at the place values using base-ten blocks.” If base-ten blocks are available, demonstrate or explain how large each place value is by displaying blocks (or explaining how many of each figure would represent a number like 1,000 or 10,000). Place an emphasis on the fact that adjacent place values are in a ratio of 10 or
.
Possible discussion: “Nice job! You have labeled our whole number places and values correctly. Now let’s review how these place values compare to each other. I am holding a unit block. How much does it represent?” (1)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHUAAABnCAIAAACxeJp7AAAgAElEQVR4nO2991Obd9rvf/6DM/Od78ye7z7P9+yz2RR3m466RDO2ATdc0jabbEvZJI4bGFQoxrhRJIy76SBQb/QmEKjSe5d0qwuQaOp3OT8IOznpTuzsPrv7Ho9msIV0f16+dH2uz1V0/w/k33qZ+h9/7wv4J9e/+b5c/Zvvy9W/+b5c/Zvvy9XP4QsjCAy/sCv559RP5gvDEAjCIAQjEAwhCATDMARDMAK9yKv776+fyBdGIBAGIRhEEARBQAQJgoYh5N8G/X/pp/NFEAhBkAXD8hTgRMB/Y/12/Vi+3+Tn93gfSxcii1Q7CvrfrR6tlmkXTQ4Egr7xe/B3vMC/hH6ILwQFYBiGIAgGIRiCYCiIbGBx5UT1yK9uqV5hjPyWMfyrAs3/zFfuLVB+UDXEVCzpretPfx+GYAiG4H9Zv/wDfGEYAREQhkAQhoMOwbnmym/X7mAM/WfJ8J5HEzvuDf/uzsiOu6OvlQ7+J3341zfUr+TJQoqUf60frVcBhhUXBEMIBP6rmu8P8YUQGIEhEIYQBEJgSDJhPVI29kqRaufDiQOPJqLvT4Xcn9hXOrSnZHQfY2j3nYFdd4Z2MYb/q2j417fUv7mlTCzqW152wQgMI4FfZj3/aPpB/wvDMAIjoNMTyGxZfP3O8P67U6GPJsMeTe15NL3v4UTog9G9paOv3h0JuTsSdmd0R8nYDsbI3tLRqHujB3I69n78QAvYEQT6l40rfnh/CzrOark2rFgVWzWLrpzf/Xj6wKOpvY8mdj+a3HV/Ys+Dyd0PxkLvjb/OGP7dg3H0g2k0XbUnnf/anx5G/LXEYFz+Vz6G/Ai+MIwg8GPhQNjFetKN9ri7A8SKaWzVfHj59N6yqR33x3c+mnz1wcTO0vGQR5NRj8ci86U7Pme+8eGT3X+9H/lxqdZg/wWW8Q+rH+ILwzAEIwjypFET/nkZ9kI59lItkSzEXe+MvaOOK5vAVE6Hl0/teTyOeTxFYGj2Zwp2fVK1+6Oy/R8/2ffh/ehP7s4tWX6Jdfyj6gf5QsEP9+OmwfDPywnnn2DTy4kXK6MuVmIuVOEzuMTrHQdLBhLLJjD5Hbsv1u/9tDrsk8p9fys/8PGTkI8fh39YOjptQJB/2fD3R/gHGIYRBClv0oSdqySkV+MvlRMvPcFfKMOdL0efL48+Vx59qQ6XLdr3RW3IF3UHzjMPfFZ14NPKA5+Wh3zy6MBf78pHll7+Kv5x9SP4IkG+6rBzFYT0auLlKuKlMsyFMvzFStKFctz5MtSFCnwmO/IiM/JcbeiFugMXakI/rw7/vDLi8/J9H95v7598+av4x9WPOR/DCILUtQ+Ff/aEeLmKlFZNTKvGXKrEXaqMuVBGuFiOuVBBzOJHpTdEXGKGXaiNOF8Xdr429EJd+IWaPR89bJFNPH2Nf0X9WP8g7J+OPFdOSqsmpNXg0+vwl6sJlyqwF8pxF6swX1SRaALUFW5kGjvsUl34JWZ4Wn3kpYaoS3W7/1bW2j/1tdf7rvf5MU/6b6cfOh8jcPBs26majbxYSUivwV+pw12pw6XX4C5X4i5X4i5U4M5XELIF0Zn86HRueAY/NIMbnsGNusJBXanf9Vm1qG8MQRAIgmEYhhEIRqCvR8MByOP2IwgIIyAMQRAMwd94yn9f/SBfBIYgBEF6hmbDLldg0mtJaXXEy9X49Gp8Wg3ucjX+UjX2cjU+R4imitAZ/CiKJDpTGEnmo67wwy43hJ+v6tJMIVAA+lpeDQqsrnsU8477MuM77PEjlWOjWgcSTNrDUACG/3X4wjAEwwjSPbQY8kUZ7kotKb2WlFZDTKvBX64mpNVgL1WhL1WRcsX47CY0WYgnC1BUXhRFHJbGPH2Nw21VrS9bEcSPIDCCgI51t3LecU9h/DN/Blc59bs7I/9RPPib4tFfFQ9FPBge0q0iSCCYrPgX4gtBCIRAswv6szk1mHMPwi5WodPqSOk1pLRqQlo19lIl5lJVLE1Iym3BZjXiqeJwsohE5WTc53X1yPSLczqjrXfO9lBp/lA0T6ycef3e+H+Vjv62dPSN+xM7HkyGPJo68Hgq5P7oK3dGUQ9GRvUrCAJBUAD+Z/HAP8I/IDAIgu6trYX5pRp207lbtYnpFdHnyqPOV2HSanFp1ejLNTFZovj8NixVEpUp/P1NfjlLrOjtGRsZNekXG/qXdj6c+N2D2Z2PZkKfTIWWT+9+Mrnryczex9M7H0+GPp7a92jytUeT4Y+nd5eOkh4NTesdCPLP4yB+VPwAguCWa8tus2vnZwdV/ZKm1tJy1hcF1ceo1fgLlZGfPcZlcrB53YlZwpwnwta2TpVKPjE6Or80u2q31zZrDpWoY2qWcNXzqIrZqKr5XU9mXnk8uf/JzL6yqfCy6b1Ppnc/ngp7MhXxeHzH3TFS+ciMce0XWPkvox9VHwJB0OP2OByrBqNhdmF+fHR0RKVSyLrbmlvLmGLaPf67BaJzD9rZ4s4BRd/QyNDczIxWrzNbrJvOdaak5/CFspTyMUyNFl+lw9XMh9Us7qyYeePx1CtlszvLZkKfTIeVTUdUTEVXzGBrlkLLZ97jLmy6fC975b+MfpT9QhCIICDsd7nWHas2m8lgXFpcnJ6dHp8YGx8ZHh0aVGs0Q4NDsxPjc3Nzeq3WYjbb7XbHysrW5ga7qf/o3+6czWWnVE9jaxdINbPRVfPhdYvRVfPh5VPh1bNo5iKJtXSYpUuqXzpUNZFwR00qUCyYnL/A4n8B/WB+BwFhCEECQ9rVjhnrjGXdbl/bXF5xO1Zcy7YNi23ZZDQBi0a9zggARrPZZrc4Vleca07n2prTubqxtlYv7Dv4GePMhdJ384WpzFlC3RK2dh7LXExg649wgcNsbUrdfMLjcQJDg8nvi8juCie3Y2gt49qVX2T5L10/yBdEEFgFbIZWz+4sm0bVLyVwFt7iL1zu0t9TAqJxq3LBojVb11ZW/GvrkHtja2vT7Xa73e7NzU2nY3Vl2V7N6cL9+cbxc8Vn0x68eavlFGvpKE9/tHb+SPlUzJ0B1A15RFZPSGZbOKUdQ+lE0zqjsqWYrI7BmX+SrPEP+wfA6YphzodUa9FMbUTt4q66hTdqF98om9tdOftG1Ux07UJy/dI7IuBcN8CZsnu9ATAQ8Pv9brfb4XBYzMYqdgf6TzdPpN07e+Xem2lPUgul+AIF6qo0gtYRTumIonZGU9qx2Z2Y7E5MVgcuuxOf3RtB7ewZM/0Ci/8F9AN8nVuBt0T6A7ULkSwgiqWPqtdFNGgjGrQYpg5Vt4Cp00XV6SKZi3trl95oWDpSM+10uBAEBkHQ4/GsrK7qlhZruR24vxYcv/zo7JUnb2c+OpwtiM6WYrK7sTlSTHYXNrsTm9OJzunC5EixOb24XGl0Xm9oVleQ7z9BlPYtfGEEASEIQSA/6LvYadxbsxjFBiJY+ii2IYINRLB1ISxtWIMuql4XWbcYwlwMr9dF8fSEhsWIqz06kxNBEAiCPB6Pfdk+Mztbz21N+Lgk6fyD1MyKs5lPjufwCXlduKtS3FUpLldKyJUScqW43G5sjhSb04vP7cZe6w3NlvaOWZB/Wr4wDCEBBEKKlKa9NQsolh7L1kexdRFsfShbj23QRTG1mLoldP1SVN1iJFMbyTXH83QHrve9kdY0uWRHEASCILfbbbNaJycmmLyWQ+cfHDp//2RG+dnM8hO5wrh8KSm/F3e9h5jXE3O1h3i1h5jXi7nWi7omw1/rJeTLInKk0jFr8EqC+qWpvDh9q/3CCAIK5jYiGvRojj6CrUOzgSg2EMUxhLK1+Ho9ukGPadChmUsRbH0YV0/i6yMKBkIpzSEZraNLKwiCgCAY5Ds1OcHkNR+++DDui3vHMipOXyk7eVUUly8lXusl3ugj5cti8vti8/tirvXj8uXYG/34G/2k/H5Ubm/XqHX7Yv75+CIIbFndOlE+nFg9e4ytOy4yHBUaYwXGWL4JzTfguIZwNhDC0kfX6yJYuli+CVsyGJbZFkVtDSO3TCwsI0G+Hs+y3T43O8MVtcd/wog7d//gxUenrjxOzRXG5PcS8/vjbihJN5TEWyr8LSX2lgJ3S0W8qSDeUMXky1F5sranfJEfixiG/05Z4++/tm/f36wr68k5LShaGzGnI/Z6T2yhPK5UfejJ+JHa+UOspQS+IUZoIvENCXx93KNxFK0DQ23F0tpDqO0jc3YkeN7zeB0Ox5JWq1apafTamE9LYz+7c/xKWWou7+AtZdwNOalASbylxBeosIVqfIGGcFuFva0k3lKSbvZH5sklKsPzrhLa7nSDQSSAwDAMQ9BX1/4C+cPws248CIGR722t+3a+G5uut2604MhCPFWMpTThMsWYTBGKLMZnteJzO9G3evHFiqT7o8fLJ0l5HQm5HUl53aSrnaG5HcppK4IgIAj6fL6NzU2zxTY3NS6X9V7KL4/7/N7RzLpTV0WxRSpioYpYpCYVKOMKVLgCFbFAQ2RoEhhqbIE8Ol+5M6vzSeficy55O1QP/rT9CEMIAiLIdvv3i8rJBVvJYRhBEBBBECQAfs+Tv53vlsf/bkE7JlOIo4qwNDGOIsJTRBiqGE0REckSfIYIkyFBUZsP3uo7nN+TcrPn+I2epBuy2Lye7iETEswwBgJer8fhdAKAYXxstKO967O8StK5suO5/ENFSlKhilSsjqGrSXdHCY+n0NVz+PpFAnMxtWz0MnOU3jQzsrTyXG4XRhAE8fcYXFXjKxrL1oongMDQl/+CQMiL9B7BjwK84vJJFtc+ktm+56nfztfj8/2huAOTKSRQRHiaOJomwlPFRLIITxHiqUICVYijCNG0xpRCeeotWertnuPF8uRCVcK1XqFChyAIBEEgCAUCAbdny+Fw6PT6sdGBnvaWC3mVSdnC+AcjmLIpXM1CVJ02lK3fw9LtZwMRLH1ErfasYBEwrSCQD4EhEHpqJT9iuQiCzNrdMULza2xTKN9ytNX2mXy1fHpjzLq57vZ/oyv5ZwqyO32CmfUjzZadQvMu4fPz9fr8fyjuxFIERKqYkCXB08R4mhhPExGzxCRaI54qRlNEGFrT4eL+M0WKN+nK1GL18ZLB47f6xErgWVgVgCDIH/C4PU6nY252kds/mCEajKiaC6nX7eYA+9j6/Q36PWzDjgbdngb9/gYgjG14o37xDy1a18Z6APKBIARCIPzdQzQwAkMQGGxJBlbdb7cYQ/mGcLE9RGA6wDfv5Jt3cAxhAuBIk+XTXtvdsWUpsGVa98Lg9zpNGEEQMDjqAMNQ0I8/fTKMQAEEChRrLIkSUyjfHNloi2pcxjZ+31H+O/l+UNyBowpINAmBKiZSxQSqGE8TE2kSIlVCoIqxVDGGIjlc3H+WrnqLoTh5Z+T03cEzxXKBQocE62cwDEIgCIEQAslnrWfY0yEs3asNhtdZhh0s3W4WsLdBt6deu68B2Nmg383U7a3T7eTowlnGnbV6ap8RCQQgGIRAf+C7e4dhBIYgP4IgptWNJLFhP8cYJbJECqyRYku02BIlNIfzzaF8yy6+eQff/DrL+AbPSBIaz/XagFXvd3kLODj6AIPQdl1s++/sq1t1E4732vWCmdXD7NnXeObYthWixE5oske0Pr/9+n2BP9PbMRQeKauRlNVIpElINAkxS0KkSUjbfEV4WvMRuvwsQ/Vuqfr0/dF37g2+e29INroU8HkgCAo2vYMQhCBIS+/cgSIVhmPeWwfsZWt3NRh2N+j3N+gOMHX7Wfp9TN2eBv1Oln4nU7+7XhvC0v7vusWy0eVgZRWEA99lvxACIwi4vOlJleh/xzGGCw0hInu4xIAR2qKFlnCBOVRoCRGZo/gmNNcczrfuF1gjxfaUqtnRue9siYPh4EcGCQ7tgD5IbXTRlNYkERDONewUmLGNFqJQ9+uq6dfZS4T21eimlUjJ8nPzDQTAT+/3osk8QpYEnyUmZEnwWY34rEYCTUykSgg0MZYqwVGbjtDl794bfP/+8DsPh969P1jdNAwA+o2NjUDg6VAB7EcQRD20EPl5XUzZaDjHdICp3cfU7atfDK9dDK/VHqhb2s1c2tOg391g2FGv283U7apfjGDpI7m6XsMGsh13fWfLhHMr8NcWw/4G/X6BcZ/AEi60YUTmCKElVGgJEVrChfZwgS1UbIsUmiP55vDG5ST2wvHrPWNz32dxQVk2vbXTjvc7LeF8QzjXECmxYJvsKIklstEe0WzDSiz/VaPbyTXgWlejmp+Tb7DgRq7uw1D4sVmNJKqYlNVIymqKyWok0hqxNAmBJsFTm7FZomSG6i+PRv/0eOSte6MFLOWIRqnV651Op9frBUEQCgaICDw+a0i6UHmExk+pmUU1APtYwN4G7X6mdm+tNqRWu69Wu4up3cM1hLCBKL4RzzPGNugOPJ5Ka1lEEOh7wvctd+BityWUZ8CKzZECy36+OUJoiRaYQ0XmEKE5TGAJ51vDRLZQkS1EZEWLLCe4+pNF/afzOyaDvQBfughouzcDhv0wMmTZKFCbkhuNO3nm/UITRmIhiK3ERhu60R7daENLbBjJSlTjMrp55de1i7+uWQiXPKd/gBEEBgN59QpcpjCOJozJkhCzJMScRkK2mJjdhKdK8DQJmirA0ZpS6IMflI2993Akp1bZ2yUdGx01GgCn0+nxeAKBQNA/wAg0s2B5m1r3h4yqt242JjcsRHH0oaylA/Xa3WwgiquL4QF4vgHFAiIr5/beG379puK3WT2/Sm/9omH86YjotxMWq7Q7SjWJPOCgxJTQbMU3WVFiS6TQckBo3SewhAgsIUJzmMQaKjKjJeYTfN3ZO6p3C+Vv3ZKOLa0gX3HA8PYZLACBEF2zTBRb9nGMoUILSmJHi62oJjtKYkNLbFESO0pij2q0R0jsERJbVKM1utm2iwP8v5Wzz80XggJFfA3+CheTwcNcEaDJYhS1CUtrJGY1xtJaYrOaYshiXHbbkRLFO4/HM2o0ba1tgxrV3IJ22W7b2Nx8ar8wCEEwAi9qLe/Rat6mVL6TWfV2YVcKa4EkBEgCM4GjR1XPhTwYe7VI/f9d7flf1M7/ndHxRkbnTnLXb9LaL9RPBCF8F9+G5pH/eP/Jzi8Ee8gdqAI59tEYqX6JKDASm2yk5mWsxBYltoULzRiR5ajYcowhf+d2z1mGPLWgZ3TejmwbbfDoHQwSQJ/Xf7aoHV09H9u2jGq2REvsaIktSmyNarShJbZwsfVAoy2i0R4tsUeIrZFNKxESO6599WDr8/oHGAn4fTrA2i4bus/pynnS+Emx8K18UVKOEE8VoCliVKYERW1C01oTi5Rf1A63tfdqNJq52Wmz2bK2tu71eMCg/wUhEIIRBAEA+wfZtWczKn9PrXyPXH2G0Yd+NLWzaPA/8/v+M7vnFUr3b8ld/5XR+Vpmxw5y+xvUjl1Z3a+kd3xSM/JlYPTlf/2XYreP7Hzv/v4/3n3j/XtvvPfk//9T5a8/Zf1HRsurtxQhjyZw9UuxIvORVtupRnPKnYHT17v+yOg/U9h/5nbf8Gxw84SC+zAMbTeRB3z+N8mc1z9l4+4PJTbbMa3LqEYrVmhBNdqim2wRYlukxBrdaA+T2EKFlqhGe2LHKl5ijqz9vqPmt/CFIMjj9a6trVlMwPz0xLBa0SeVtre180TNT5iioopGysOWj4qbztxoe6e0r0mqHh7SzM7Om0xmp8Phcnt9oB+CQBiCYWh7gFYP2N+lVaeml79Frvggq+oYhbuDIn2N0vkKpes1SvdOcsfOzI7/ymzdkdGxi9z1OrXzNUr7qxlt7z8ZgEDoaQtG0MagoLUFIwp2x9hrHzw+8NdHez66d+BPD17/8/3X/vDwN394+Kv3y/6fv9T9r085v8lo2ntbnnR3KDm/5+1C6QelylMF/am3+xUTZgiCwEAA2lZwchoO+AJv5XIPfFS+57OGvTd7YrhAQtsyWmKPllijm6yREltEoz26aRnbtnywdSWWZwgrm3qleOiV6/Ln5uvzejc2Nux2u8FgWFhYmJ6eGh8bHR4aHNQohlR9aoVM0y9T9isGNUO6mXGDfnHZZl5fc3g8bjDgh2AQgkEYhsFg6w+CGIwrv6dVn0ivOJNR8Xtq5Qkqex+tcxel/Q1q+15q9+7Mzh0Z7b+jtu+kdu2kdO6kde+kdu0kd52gy72+ABKcakYg+EtHvH064LeO/fad0n1/uLf7vZLXfs947YN7r3/w4NUPHrzy/r3f/PHhb/9U9ts/Vb56jnXoRs+pm72/p8veLlEdL5SnFillYwaf1+31egOBQHCPCMAQjEB+r/+tXN7+TyuiPqsI+azm9QwRrnIqts0W2WwPF9vRTbb49tUjzbZEjo7wZDK8WP3GTeWeG/KIG/3PzTcQCHg8no2NDYfDYbfbLRaL0WjU6/U67dLCwvzs3OLiwvz83KJseql/HJhYMq/YHVvrWwG3F/n6nBuMIMjyyvoHucyjlytS08t/T60+QWHtzZHuoHbvpEn3UKVv0Lp2kjt2Ubt2U7v306T7s3r2U6W7Kd1HCvu9Xv83DgIwAvlhPxjwQ1UdEyGX2RhaIya3k1jUE/ppza4/Pnz1zw9+96cHv/3zo9c/rNrxYe2O89wjN3vOFPS+z+g/S1elFitOFCra1YuuzTWXy+Xz+QKBAAhCfhAEwYDX5XnzqmjP5zXY87WE88yQz2p3f8HBlAylSEwnO+xHhYa4mllM6XDEbVX4DUX0bXnkzb6wG/LIW8rn4xsMXQOBgM/nc7lcm5ubGxsba2trzlXn6rJjedm2vGxzLNuvSoHo+qXouoUYlvaUUHtWqHtTrM2QWXLk5oqR5Y55R4/OsbDssW56netbf7vOPnq5MjW94m1y1Skqe39O1+6snv3ZvQdovTuypDuzpDto0p3Z0n3Zvfuye/dl9+zK7klhqDc9/tnlzbYFR9vcWs24I19pzZfb/9SuP91k+H2T8bBQixfbsGIrVmI/1G5DZzfvef/B3r+W7frrkx0flb/2cdWrn9S9elmYWNh/plj2l3uqNwvlbzOUp4pVjfL5dcfKxsaG2+32+/yBAOgL+H1+n2t9663rooiL9YQ0Nv5KPSGtDn+hLuJ8A+lm75EnU5F0dfRtJfaWHH9bTrgtJxUocDcV6AI5uug5+T5DDIJgIBDw+/0+n8/r9brdHtfWlnvL7fO4BnR2QoM2kr0UzdFHNwBhLGA/y7Cv3rC/Tr+3Vru7enFP9eKBGi2OrTvTaFgwr/0luyb50uOj6RVnrlSk0jiRV6WhubKwnN6wHNne7J5dOT27cnp35/buye3de1UWkisLyZaeKR00OlyHeLrXahZ21izuYer2Nej3swy7OYadbMNujiGUb47kmcL55iiekSCxxBYrfvfBw70fVe39sGz3Xyte+7jmlc8aXk1vPFSseKdE+cH9wbdKB9+/ozx+S8bpmXTYrWtray6Xy+vz+n1+j9frcrkcK86/3G7CZnBjMzmkDDb+Sl38lfr4y3UoiphQoCbelhNv9cfckhMLlDEFyrgCBalIQSxSEAue0/8+4/tVBVn7An4w4Pd7fOdbAVS9FsPWYlhGPFtH4BpwHD2BayBxjASOAc0D8BwDjmXEcPSHGhbGFkz590SEv907evlxanrFMVp9dH5feE5f6NW+kFzZgat9e3Jle3P7QnJloVf7dmd1R1zrD83rPfVg0Or0nBGbIzgGFNcYzdGjuDoM34ARmCJ5hkieMZxnjOQZUDxTJA9Ai0zxFdO/+6h21yfMXZ9U7fxb7Ruf1P3284ZXrzSlMJTv3lH98cHwm/eG37s7kFrUL5KN2Sxmp9Ppcrk8Xo/X43W5XGtr6xaT9aNbTQSKMIHKP0jmxVJZh8jsxCsN+BxJTLGKWCCPKVTEFipiixSxhYqEAkVssZJYqIgrVj8332eU/y9BIARCCOLvmFvF1C3guFo820LkAASunsAzEjgGPAfAcwxEDhDD1hO4ehxXf5hvINGV6km9fkn7RX4N8aM7R9MrjpMb0DfkYVf7w/L6w68rDlxX7rsu33utPzRfEXpNsSe7N/KGCpXfn3pHs6BfeY87F8UzobiGaI4BxTWheKYoDhDFNUTxDCiuMYpnDOEZo3lGDN8Yy9XtOsfd8QV312esnZ+zdp1jv3GRtyOj8cQd9Xv3h/74cOS9R2Nv3Rti8DRTs/MWs2mbr8fjdnvWN9ZXVlb1WuCPRc3YDEFiliCBwkmh8hLIrMMUDilHQqKrYgoVpEIFqVARX6SML1IeKlbH0FUEujqGPvAT+X4DNwQjfpcHfFdiRLOW8GwDng0QOQYsR49jG2I4JhzbgOca8FwAy9YT2IY4gfFg9TSW1tmhWjAYFvtl8j9kPkz47MGpjHrCTXlIfl/EDXn0dUXEDXn4DXnEDQXqpjLqpjLkan94Xj8qry+5SD46afyAOYHlm7BcAMXRo/jGCC6A4hiwbEMUzxDO1aPZQDTbGMUGIjmmWJExOkPyu0v8fRfEey8Jdl3i70kT7ctsOlWqeu/ByAcPR969P3yD2T86OLQ4P2e12dbX191ud9DvOdecVqttYW7hL/Q2dCY/nsqPp/KSKNyDFN4hCicut5lIV8UWKuOKVDHFqvhiVXyx6iBdE8MYjGEMxjEGXwzfYLBVO2EPqdNjWVo0R4/h6PBsAM/WE9kAgW3AsAE0F8BwjTg2QODqDwmNh4pUaGpHQ9eUdnF+eGhAKG45nf4wKa06oUCOv6XAX5djbvTjbvbhb6oirymibynxt1XHGMpzj/vui4Z6Rxa184Z3HvRh+UYsD8Cx9CiuMZJniOIZURxTFBuIbNBFsYFIDhDB0oewAKzQgM2X7rrA2Z8mPpDWuC9dvDdDFEJtO3F34N37o2+XDuXVymX98umJMQAwLq+ubm5uer1er9frcXmc6w6rxTY7Pfv2TTGGLEqkCOOogkQa/yCVd4jKJeW1EBiauGJVQrEqrkWMV7gAABpVSURBVFgVSx+Ipw/GMAZiSwZIJYMJJUMvhi+CINZ171tN2jgBEC+0EPgmnMCM4ZuIXCOOA0Ry9FFsPYptIHCAaA5A4BuP1cwkXeuNyelmdk4ABv3Y+NiASsnjN52gsuJv9+FvaSLz5dhrfbE35Sfo6r/cleXW9pbxpe0dPWMDGuPC4trKyuqylVbdj2fqonhAJA+I4Bqi2EAkzxDCNx7g6qP4JrTAghWZiWJTDB9IarYduje664Jw3xVJaEZTBKUpjNoURetMfTj+5j0NpVLe1dU7MqJeXFyw2ZY3NtY8Ho/f7/f7fV63d219zWqxzc/NnmOIQs6ziWRBXJYwjiaMz+IlUDixea2xJQOxdHV8sSq2WEWiq0klQ8SSofiSgdjS4YOMn+p/v6m2MWts6fDRqpmTtbMn6heOcrTHuEAyT58i0B/nG44IDQki00GhIU5oOsEzni5RJ1+TxmV3saTTdqtxfnFxfHx8WK2u47cfLZKRigbev6+mVcvuc7r4ktaujg6FrGt4QDE1Oa7XaW12y8bmpm9r6wlfdZi1GCsxHm60kIRAgsSYIDTEcPVJPOMxHpDEXkxizidVTCfeH0q4O3zpUftfrtWdyBGRqI0HMlr2ZDTtpbUfvztKrlB2dElHhwYX5hYtFrvT4XS7t/x+f3DT9np9m5tby/ZlnU43ODBMeyjGpzdgMjgxNEEsTRBP5cbmtcaVaOJLBuLomli6KpYxFMMYTLyjjikZwNEHj999Qf4XQZBW1WJYuhhHaSJQGnG0ZkxWC+FqFzGvO+ZGT2xB/0GGJrFEffDBSHLlzB+qJ0/d6k28ISNldzV0Ta9YrHqDSbu4MDMzMzE62tQ7KOlSyPvlmn7ZoEo+OKAaGxudnZnRaXVWi8XpdLpcHn/A6/f7GloHzz4cOVQ2eejRWPzdYVLJAK5Qib2pwFzvQ12TReT0RGZ3ocit0eSWcHJHTmlN2T1GdUVleQ27qFzyRWlr0vXmi2V9vX2qidHBuYUlk8XidDq2tlx+vx8CwWBg5Pf7XO4th9NhMVsW52fHhzQVrNYTWcyoS0wiWRBD48fktyWUDiQwNHGMwYQSTVypKrZ4AM8YOfNQkcuUCSQdL4xvu2YRQxbFUPlYighPFuMy+bgMNu5yAy6djc7gYdIFmDR+VLowktZ8mi47cVN2+GY/IUd6VzRiNRnMZrPZZDIYDTq9Xq9dWJqfmZudmZ+bX1hY0Ol0RqPRZrM5HI6tzXWPxxMIQBACgoEAU6JKpEmiqe2orC5MVlcUuSWa1o6mdeCyOrFZHVhaO57aiqe14CmSKHJz7n1OXU21SCTo7GhV9kkHlXKlQjU0ODQ/O63Xaa1Wy5pz1bXl8vl9EOiHIBCEIBgBEQjyB3yuTdfKisNsAGZm5sYG1JLm9nNFbMwlJiaDE3ut5WDp4KE7Awl0Fb5ITSwZePuhKqdG2t7aruztGhpQvTC+bRptVKYwhiomUsQEqghP5hEz2IQrTMKVOuKVemImG5fJQV/hojOFb9N7UwvlKTd78DkyWo0K0C2ZzWa73b6ysrKysmK32202m81ms9vty8vLq6ura2trm5ubQZ8IgmAw4Q0GApU82dFcEYkqwVA7cLRWDKUJm9VOyO4gZLVjaa3Y7A4crY2Y1Y6jtmAo7bkPhGIBr0cqHRwcnJycnJub02mXDABgsVhWVlbW1jdcLrff5wbBALj9RU0IgkBWh8vt9iCgz7WxtbxqB0zm2dmZsWG1vKeHUSk4ls2KpjXi6IPRdHVSaf9nZb332D1NzR0Kacfw0PD09MzS0vcNsD8fX+mQPpoiIVKbSFQxnibEU4VEMp+YyY0lc2OucIhX2LgrbBRZgKE2vlksO14oT77ejc/to9ZpFufnzCbT6urq+vr65le0tbUVDEJ9Pp/f7w88zWk94/ukoevQ1XY0rQ1Pa8JlteFyOgnZHcTsDlJOOyGnA5fTScrpIma347LaUJR2yv3GjpYmjWZgdnYWAACr1bq8vOxwONbX17dcLr/H5fMH4O2mE9jj9fUvOXP6LCS+/vNO05xtDQF9btfm2qrDbLEvLmonxyeGNaqWtq60x+3vPVJcrVdym3v6u7tUStnAiGZyZlKv05ktlpWV72u1fz6+gzNWAq0Rn9VEymkk0iT4LAmOJiFkComZXGIml3iFFZPegKHwUVTx2Vtdx29Kk27146/KrtUrZ6dnTEajw+HY2tryen0+n9/n8/n9voDf/1Wsz+AiMAwjkN/vo5dJUq61o2mt6Ow2THYnLqsTn9VByO4i5nRhs9rxuV2E7E5STgcuuyOa2nHpXlNPZ/vo2DgA6JeXl9fW1lxbW26Px+v1+P1+JPhtg5B/3r75ZNj+brM+jKXdz9Kj+cYINpDAM5SPWb1uL+xzr605bMt2wGBYXJibmZqeGBkdHtSMDmvGx4YmJyfm5+cBnd5isqw6VtbX110u1wvjO6VbjstpjslujMlqJmY1EbOb8bQmFFWMIQtxZCEuU0C8wsZTeHha05u3pScK+5Ju9sVc669tHpiZmjKZTE6n0+12+/0BEAyAUACEQAgCoW8I2a5ZwH6fN+8uPzmvFZfdgcvpRmd34XK6sDldxOxuYo4Uk92Bz+3E5bQTczuJOV2o7O7MB219Pd1TU1NmsymYXvB7/RAU2J4e3fQ2z66e7zLFsZf2NejDeCacwIwVmnFCM15g3C8w72Xp/9IJTFlcSMDl2dp0OBzL9mWz2WQAjACg1ev1BsBgNpttNpvD4dxY33C7XV6v1+/3vzC+iyZHQk4TgSYm5bbisptxOS343HZcbiue1kSgSHBkESFTgCEL8bSmt4ukJ2/LDub1/qVUplQoZmamLRbL+vq61+sNBEAIhILZ92Dx4GtCkGeE4TJe76HcZnxuN+FqNz63C5/bTbjaQ8yVkvJ6cTldhOwOUk5nTG5XkC/tSZdc1jMzM221Wjc2NrxeLwgFYAQat2zeVthTRcD+eu1ejhnNNWOFZpTIguWbsUILVmBBic0YkZXAM0QwlxK5QMX4isflRQLuja2NtTXn6prDubrudDqdTmfQv7lcrmD6OFjGfWF8Dda1pLwWPK0x/mp7bE47MaslJrcDn9NGzG4l0ZrxNAmOLMRRRDiy8GxB58nbfYnX+8v5vYMDmoXFebvdvrm55fP5gl/o87Qw8d0NUDCMIEibbPRgXgvhWg/xqjTmqpR4VUrM6yHmSglXpbjcLlxOZ0xuN5bWjsvuROVIcyp6lPK+ubk5u92+ubkZCARAv79CbogTGvewDJE8LUZoxIqsGIElWmhGiSwooRkrtEQKzBi+CSUwooUmIgcIFxj2s3QftRvHLS4o4PF4/F63y+12ezwej8fj9XqfZo3BL73Zi+Jrtq0dzW/BZTXHZrck5HXE53WQsltxOS2E7GZCVhOWKibSRLFUIYkqeIsuPVrQ98VjhaxLOjo6bjDoHQ6Hx+NGYAiBwObplfZFp9/v/RLmt7CFEAQZn1xKut5GzJfF5vXE5UlJ+VLStV58bjc6twt7VYrN6SbldOFyuzDZHaicntxK2YBGtbS0tLKy4nK5QBD0eXwf3Gw++GjohNiCE1oi+GYs34wSmFBCC1ZgQvFNaIE5mmdC840YoSlcaIkUmKIFBjzXGM43HBECo5ZNCIJAf8APBsCvaHsH/hHt9c/H12JfP3q9lZDVRMpqistuib/alpDXHp/XQcxtJ+S0E7NaiNQmPFWAp0nepcs+eaCul/RplMrZ+Tmrzbq1tYXAPuOqJ1NqCK2dD6tdfKdZWzPlXNn0P63DgzACIzC0XWML1j7sjvfoncS87tj8nvh8Wdw1WWx+HzFPirvajc/rIeRKY4J2nd2Nz+2hVCnGR4YNRsDpXPN4PBAEBby+j6/z8JfqU4plp1hLcRJThMCI4pvRAgtaaIoWmKKE5iiBMUxoCRWYQngmnMhyWGI9LbG+zZlPejDcMmJFEGS7Qgd93ZX9GGLPxxewOhMoXFQaD5MpwlDEWIoER2siZrcTstvxtJYYWmM8rSkuSxKb1XKW0VXEHuzv652cHDMCZvf6emDTxRu3xwsWDtQuBhPE+5i6PbVLCQLtLYV12rz1tMsRgp46ZQiGPC7PF2VyYl7PwXwZ6Zo0Jl8ad1Uac7UHmy2Nzu4Kz+oOoUnROVJ8Tjc6u+uzh7KZ2UWb3bK5uen3+2EYCvj8f7sliEurT0irT8kWna0YSZSYw4TmCL4FzTdF8U0hQnMU3xQtMie02E+22s6IgNPM2eOPhpNv9ydc7+0YCY6BQM+APhfc5+AbXK/DsV7VrLnH680rb/ukkPcxo+nP9NYz+aKTecJj1xoP5TQSqEICTYImN50t6m3r1oyNDen1eteabcq0fK5dv6tmIZS9hOYYozlGFB9A8/RRHEMEC3i9bimqYfF8h1m6sOb3BSePIRCCAgG/e2vrGncYlyM9eLXn6I2+04V9Zwu63yroeJ/R9eE96YelHR8WN1PLuuisvjtCVX3HsNloXNtwer3e4LYT8Ac+vymIvVKbSGHGpdfFkYXJJZojfANJbEHxzGi+kdBoPd60+odG8585M6cejxxkDCYWaxKLlEeK5Qk3Ze3DZuS7GzBeMF8Qgv0ej3vDaQYWJ0dH1P0yeW9vT2dXa2tbY3OruKm1XtBaxpRUCLoqhH11raqJiXGzXrdqW64fNcexl3YzlyK5RhTbEM41RHMMkTwDimOM4BpRbD2aY0CxgP112gO1C6cajZXjq9YNLwRDXq9nbW19fFonko6wWuSiNllLW09za2dTc2tHW1tvV3dft1TeKx1QK6bHRw1Lcys226Zz1eXxPNvW/X7wfIE4Mb3uIKX+0BVmfAYzLr3haH7HGebM8Ubzm03G9/jas5VTKXR13PX+Q7f6k4oUycWq5CL5Ubri4E1Z+7Dll+MLQZDP51tfWzNbLFqdbm5+bmpqYmJ8bGxsZHR4aGRIMzo0MDoyMDk2Oj8zBizO2qzA6JLliw4ghKkLZRmwPGMkH4jkAFEcIJprQPNMUTxTJAdAcQAUG8BwAAzbgOLo97H0+zgAtcPk8/m9Ps+6c3112WYx6rXzc9MTY2MjQyMjQ6Ojw2NjI+PjY1NTk7OzMwsLCwaDwWazra+veYLx39Nt3R8IfHpbFJ9eeySTmUhmJmbWx2c2HExvSKQJ3qmcSC2bSCxSHinWHC5WJdNVR4vkScWKw8XKpEL5kSJ5wq3+oP3+nNb356pfwIFAwO12r62tra6s2Gw2i8ViMpkMBoPBYAAAQK8HAEBv0hvMFovNam8aNR8T6UIb9Cg+gOYAUTxjFM8QyQWiuIZoDoDiGKL5xkiuIZpjwLAALEeLZi3i+eaTjZZTDQufVQ653B6fz+vecq2vr6+urtpsNrPZbDQag29nNBpNJlMw2l9ZWVlbW9va2vqyr/Cpf4QC4EV648G02sMZdcmU+oNkZmImM4HccDiTfaKwL4WhSS5UJRdrkujqZLo6uViVFPxTqEgqksff7GsdtvyifEEQ9Pv9Ho/H5XJtbW1t1+2dzuCj0+l0OlbXnM719U3HqvNvD7qTqyfPCM1EsZnA0uPqtWiuEcUxoLkGFM+I5hkjuQYUF8CwgEiOKYJrIErMp4Ta02UTibeVnz6We71+CAwEfAGvz+vxeIJvF3zHoNbX1zc2Nr4W7X9954Eg2sP2w+m1hzOYKeSGI2TmETIzkVx3mFx/srgvpWQwhaFOoauPFKuS6OokuvpIkTK5WJVcrEopVsbfkjcO/bL2+6yWHCzaB+v2z+TxeDxut9vj9nl9LtfmZ8VteLLw8O3u1PLxM9zFIzx9tMAYyTdGcQAU1xjNNUTyDNEcQzgbQPENxyWmN9mLx0sHUgr7k2/IzlUO+LyB7SYxGAxOczzrFHimZ1mh7ZTbN7d1GLpa0Z2YXn0osz4ps+FYZsNhSn1SJvMQmZlaLDtaMpRUJE+mK1MYmhSGJpk+kFSsTmZojjBUycXK+NsKkca4vfSfivj54rNvrdsHH4O1gEDAD/oDgQAY8PrID9pIafXEKywsWRCT35H0aOgEaylJZMKJTJFsHYalx3AMkVxDjNh0mq87WzF1lK4+VihPLZal3JSdrxoO+MHgAe/rVeynb/fNrMW3CIJu1fXGp1UdJLOTMplJ5PojZGYKhZlEqT9Z3JvMUCfRVcnFymMM9VG6JoWhSaFrkhiawwx1UokmvkglVBi3F/7L8EW+UbR/FnU/Aw4FoEAADPh9WeWdMWl1CZnMmEwmKYMTk8FPyGpKZihP1s2dEACJYiNBZDjWbHmHvXDy3mBKoeJ4ofJEkfwkXZ5yW36xZjgQAJ8aDvy1C/gyh/m90SgMwzAYoDf0kS7VHCIzkzNqj2TUJZPrj1KYRyj1J+myJIYquUiZVKRIpqu+dBEM9ZE7mqQ7mrhiZUMfEHyln+wiXtj9h7bPAxAIBT/LPnd2lRSfxowns2LIrDgyO47MiiWzCBmsGKrkyK2eU1UTH4iNb1VNJzE0xwpVJ4vkJxj9J4v6j9P7UwrkF6qGvovvjxcEQaDfe7umC3eu4khG9aFMdlJGfVImM5nMTKayThb3Bh3ukSJFEl2VRFcnMzTJdPUxhuZEieY4Q32wSPlEurS9uJ+K5WXwBQOBQMDvyavtIaZVx5Pr4iisODIrgVJ/kMZKoHBiyWziFVZslvj0XU1SkTylWHGMLj9e3H+quO90cf/xYnlyQf+FqsFtvj9jrhWCIK/X19jam3zuLumLJ4lXao9kNiRl1idRGlKorNNFspQSzeFiZTJDdZShPkrXHC0ZSGaok0uUJ+4MJNFV+Fvy203TCAwiP+P2KS+U7/ahFoRhGIbA63W9uMu1cRn1CWTWQQo7ntyQQGbFZbISyA1xFBYpW3iyVHmcLj9eLD9R1H+8qP94Qe/Jov5UuiKloO9cmdrn8yPbnfs/cXUwDHs83lW7tbmz933aE9wXTxLSmUfIDUmU+mRyw6nC7mMl6pRidQpDnVqiPF2qOVaiOs5QHilSJNKVp0pVVxoGVZNG0O8LINDf3z8gzzYjZHset4glJ1yqTcgM8mUlZDITKawEcsNBSkM8pT4ui3uqpO8kXX6Srkgt7k+lK1KL5SfpqlS6MqVQ/kXZgN8f+Jn2C0OQ2+ddWV7VLsx2yXpzSmoTLzzEXyo/nFmblFF/oqDjGEN5lK5OoStSS9Un72hSihTHGao/3VcU1cvapGrt4sLmhsPjC0Agsl37eH696Pu/wQi8PfiL0Nly/IXKhExmfCYzPpN5kMw8SK5PpDQkZDIPkusTqKzTJbJUuuJksfwUvf8UXXG6RHWSoTnFUKcUyc+XDwQCIPLz7BeCIL8v4FxbBQD95Pi4vL+zopb7XlY18fyTQxm1p4u6Tt5RHy9WJxUqk4oUp0qUF8v6HnE7mzu6BpSK6YkJI6BzOBxejwcCQein3n/m5fGFi3lyQnpVArku/kptQkZ9Ark+PqM+PrMhPrPhILnhIJV9itF3iqFMLepLLZKdZihSGcoTJarUElVKUf/n5Zpgc/XP5Bvw+12bruXlFZ1ONzExMahSNre0Ue6wDl18nHKrPalYlVKg+KBEdqNGyhK2dHW0a+T9I8ODM7NTgA6w2W3r6+terwcCA/BPnWB+Gfcv3L7bEJ3fj79cE0+ui8+sOZhRH09mxmXUxWfUH8ysT8hkJlA5p0r6T5aoTtAVqQzlaYbyVInqVOnAyTvqI7dl1zlDLrcXBkH4Z0y+wzAcCIBez7NZB2B2dnZkZEil6CtvEH16t+VieX8Zv7utXaqUSQfUyvGxsbm5Ob1eZzabl1dW1jfW3W633+8HIeh7osDv18vhC0MwBN1kdqE+f5yQUROXyYzNqI/NrIvNqI3NqIvPZMZn1CVQOafvyE/eUaWWKE8y1KfuDJwsHTxBV56mq4t4A3ML2vV1p9/nh6DvrSH90HUETz0ej2dzc3PV4bBYLHqdfnZ2dmpidHBwYGhwYGJkYHx8bHp6emlpyWAwWK3WYBNB8Mzt9/uD55h/KL4IDMMQGBB0a1KpFbjzT/CXKmKu1MRfCTqKuoRMZnxGXTyFffqOPPWO8iRDebJEfapEfZyu+PM9WbWwd3x40KjTOledHq8XBP3PNsyfcBnw01kHrzfYRL22srJitVpNRkAfzEcBWqPRYLFal5eXnU7nxsbGM7Jf7Rr4aXCRl8fX6/WuOVaHRifu1Da+n18Tk1aOvVRJSqtNyGTGZdTGXamNJ7PP3FGcuqs8dUd1okR9vLgvs6JX0NQxoJRNTU+ajCaHc83r8UBgAPx5Idqz87Tf7w9S3tjYcK6trzmcDodj1elYW9vG+qzN5auH759suUG9FL4QBPl8/rU1hwHQT0+M9XRLy5iCzwtqDmfWYC5Wki5XxV6pTyQ3vHlHeebuUApD+ftSeUldR2d7u1qlnJqeAgBgZWVlc3PT7/M9tZ2f9eUjX59y8PmeZqLcHo83WBX+evfQc9aBvksvy34DgcDm5qbdbltaWhofH1cr1b1dXWy+hHqPcyarGnupGpdWcZrRe6xY9enjfra4Q9nTOTQ0MDc3ZzQaV582P38tmfszL+mrlJ9mowLB3NtXi+0vBOszvaz7H4Mg6H06pAjogbn5ubHx0SGNSiWTtbW03avmf3yT/V6p7HZDv1TaM6RWTExOLWqXrBar0+kMZsq/ak0v6qq+NSf1Aq31m3pZfIMm7PF4NjY2HY4Vu81mNBoXlxanp6fGxkZGRwY1amW3YmBsZGR6amJhcd5gMKysLAf9YLCB4+f7vu+6sK/pxb7+1/QS+UJPhxTdbvfm5obT6VxeWbZYLAaDUacHtNpFQLsE6HUmk9FmX3Y6nF/tT32xZvt31Mvl+5Utxb9d41lfdzqdq6urwUbgZ52/brfb5/N9zQ++pGv7JfUS7z//ZUYNgoK2HCzwBPdul8vlcm33dT1XR9d/L71Evs/0VcpB0F/bvr9a5vlngov8MnyD+uqW8jWgv8xW83fRL8f3q/rnZvpV/X34/uvo33xfrv4P+JiZh4vdndYAAAAASUVORK5CYII=)
“The single blocks represent the ones place in our number. How many would we use to represent the ones place in our number?” (4) “What would happen if I had more than nine ones?” (They wouldn’t fit in the ones place. You could link 10 ones blocks together and increase the tens place by one.) “Yes, I replace ten ones with a long like this. Each long has a value of ten.”
![](data:image/png;base64,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)
“What if I had more than ten longs (10s)?” (They wouldn’t fit in the tens place, so we would link ten longs together to make 100. This would increase the hundreds place by one.) “Ten groups of ten (10 longs) make a flat, which has a value of 100. Ten flats (100s) could be stacked into a large cube, which would have the value of how many ones? Remember each of the 10 flats has 100 unit blocks inside of it.” (1,000)
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)
“Our number and many other numbers are larger than 1,000. What do you think the base-ten blocks representing these numbers might look like?”
Discuss what 10 blocks of 1,000 would look like and represent (a large long with value of 10,000), and what a flat, and cube made of these larger blocks would represent (100,000 and 1,000,000 respectively).
“Notice that the values always get regrouped whenever we reach 10. This is because we are working in the base-ten number system. Each digit has a value based on its position in the number. The place values help us understand the size or magnitude of the digits.
“In our lesson today we will build on these ideas to learn about the place values of decimal numbers, and investigate a variety of methods for representing whole numbers and decimals.”
If base-ten blocks and work mats are available, allow students some time to investigate and review the whole number place value relationships before moving on. Check the Resources folder for paper versions that can be used in place of actual blocks and work mats (M-5-5-1_Paper Base-Ten Models.docx and M-5-5-1_Whole Place Value Mat.docx). Another optional tool is to display an interactive base-ten block activity on the computer or interactive whiteboard. See possible links in the resource list.
“There are several ways to display our numeric values. Writing our numbers as base-ten numerals is what we have been doing so far today and what is usually used in our number displays and calculations. Two additional representations are word form and expanded form. You may already have some experience with these forms for whole numbers. We will practice them today with whole numbers and we will expand our work to include decimals later in the lesson.”
Continue using the work that is on the board.
![](data:image/png;base64,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)
“We can use the labels we already set up to help us represent 261,594 in word form and expanded form. In word form you use the place values (below digits) to get started. Think about how you read this number aloud. This is how you will write it in words. For example, we have three digits (2, 6, and 1) that are in a place containing the word thousand. These will be listed together as 261 thousand followed by the hundreds, tens, and ones. Try writing this number completely in words.”
After a minute or two, check student work. Display your answer on the board. Discuss any parts the students struggled with.
Answer: Two hundred sixty-one thousand, five hundred ninety-four.
Be sure students are not separating place values with the word and.
“Now we will write this same number in expanded form. The digit values we wrote above the 261,594 are the main pieces we need. We will write this form as the sum of all the digit values. So our number would look like this:
261,594 = 200,000 + 60,000 + 1,000 + 500 + 90 + 4.”
(You may want students to state each value aloud as you write it down.)
“We can also take this a step further by rewriting each number in our sum as the product of the digit and the place value it is in. For example: 200,000 would be written as 2 × 100,000 and 500 would be written 5 × 100. Are there any questions? Take a minute to finish writing the expanded form for 261,594.”
Call on one or more students to share their answer.
261,594 = 200,000 + 60,000 + 1,000 + 500 + 90 + 4
= (2 × 100,000) + (6 × 10,000) + (1 × 1,000) + (5 × 100) + (9 × 10) + (4 × 1)
Give several additional numbers to practice writing in words and expanded form until students can show they are able to use these forms on their own.
“Let’s continue by thinking about another number.” Write 2,233 on the board.
“What is the value of the 3?” Some students may say three ones, some may 30, and some may want to know which three you are asking about. Take time to discuss the importance of the place value in determining which answer is correct. “The digit that is in the tens place represents 30, while the digit in the ones place represents exactly 3. How do these values compare?” Let students share their thinking.
![](data:image/png;base64,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)
“Since 30 ÷ 10 = 3, or 30 ×
= 3, the 3 in the ones place is
the value of the 3 in the tens place. How do the digits in the hundreds and thousands places compare?” Call on a few students to share their ideas.
“Yes, the digit in the thousands place represents 2,000 while the digit in the hundreds place represents 200. Since 2,000 ÷ 10 = 200, or 2,000 ×
= 200, the 2 in the hundreds place is
the value of the 2 in the thousands place. What is similar about these two examples?” Allow students to state the similarities they see. If no student brings up the
relationship, do so yourself. As a digit moves to the right, each place has a value
the size, so the digits value is
that of the same digit one place to its left. Likewise, as a digit moves to the left, each place value is 10 times greater. Think about 45 versus 57, in 45 the 5 represents 5, but in 57 the 5 represents 5 × 10 or 50.
“Do you think a digit is always
the value of the same digit placed one space to its left?” Many will say yes, some may say no or be unsure.
“Make up another example on your paper to show whether you are correct.” Walk around the room to assist struggling students and correct misconceptions. After students prove this relationship again, restate that in the base-ten number system the value of a digit in a specific place is always
the value of the same digit one place to its left.
“Do you think this
relationship also works with decimal numbers? We will find out as we continue or lesson.
“Now that we have reviewed and practiced understanding place values with whole numbers, we will apply the concepts to decimal numbers. Keep in mind that decimals are also part of the base-ten number system, but each decimal place value represents a different size part of a whole that is smaller than one whole unit. Let’s take a look.”
![](data:image/png;base64,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)
“What do you notice about our number now?” (It has a decimal point and 5 digits after it.)
“Raise your hand if you know the name of the first place after the decimal point.” Call on students until you get the answer “tenths.” Emphasize that this is spelled like “ten” but ending with “ths.” This lets anyone reading this number know that it is not the tens place on the left of the decimal point, but a smaller fractional part of a whole located on the right side of the decimal point.
“Take a minute to discuss with the person next to you how you think the seven in this place would compare to having a seven in the ones place.”
Walk around and listen to student discussions. Ask one or more pairs of students to share their ideas. Emphasize and expand on correct responses. Use guiding questions to assist students who respond with a partial or incorrect response. Be sure students understand that the tenths place is
the size of the ones place if the same digit is used. Also the name tenths implies that we have a ratio or fractional part out of ten. Therefore, 0.7 represents a part smaller than one, which is seven-tenths
. Remind students that each place as they move farther to the right continues to be 1/10 the size of the previous place value (which is to its left). Ask students to add the decimal point and new digits to the number on their paper. They should label the place value names below and numeric values above each digit.
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)
If you have base-ten blocks and work mats available, allow students some time to investigate and review the decimal number place value relationships before moving on. Paper versions can be used in place of actual blocks and work mats (M-5-5-1_Paper Base-Ten Models.docx and M-5-5-1_Decimal Place Value Mat.docx).
Quick Response Activity Part 1
Using individual whiteboards or paper with markers, have students respond to place value names, numeric values, and the
relationship for a few more numbers such as:
- “In the number 345.67 what is the value of the 7? In what place value is the digit 6?” (The value of the 7 is 7 hundredths. The digit 6 is in the tenths place.)
- “In the number 4.88, how do the values of the 8s compare? Which 8 represents a larger amount? How much larger is it?” (The first 8 is 10 times more than the second 8. The first 8 is larger than the second 8 by 10 times.)
- “In the number 17.79, how do the values of the 7s compare? Which represents a smaller amount? How much smaller? What is the name of the place value of the digit 9? What fractional part of a whole is this?” (The first 7 is 10 times more than the second 7. The second 7 is smaller by 10 times. The digit 9 is in the hundredths place; this is
of the whole.)
Ask the questions one at a time. Have each student write down his/her answer large enough for you to see from anywhere in the classroom. When it seems most students have an answer, ask them to quickly hold up their answer for you to see. Use these responses to judge what needs further explanation and which students may need extra help.
Once students can accurately answer the Quick Response Part 1 questions, move on to writing the decimal numbers in multiple ways. Extend the same ideas used in writing whole numbers.
Use these or similar examples to discuss writing decimals in words:
- 12.9 (twelve and nine-tenths)
- 34.09 (thirty-four and nine-hundredths)
- 3.486 (three and four hundred eighty-six thousandths)
- 4.73509 (four and seventy-three thousand five hundred nine hundred-thousandths)
“In order to write decimal numbers in words, we will begin by writing the whole number, which is to the left of the decimal, exactly as we practiced before. To include the decimal portion of the number, we use the word and to represent the decimal point. The decimal point separates the part of a whole (decimal number) from the whole. The decimal number will be written in the same manner as a whole number but it will end with the decimal place value name of the last digit. For example, for 12.9, what is the whole value?” (12)
“This will be written as twelve followed by and.”
Ask students if they can figure out how to write the decimal portion of this number.
Answer: 12.9 = twelve and nine-tenths because 9 is in the tenths place
“We can also represent this number using expanded form by showing it as the sum of its parts. This number would begin with 10 + 2, but we would also add the decimal number. If we have more than one digit in the decimal portion of the number, we add each digit’s value separately, just like with whole numbers. For this example our expanded form would begin as 10 + 2 + 0.9. We could also break this down further to (1 × 10) + (2 × 1) + (9 × 0.1). Notice that nine-tenths is represented as the product of 9 and 0.1 because 0.1 means
one-tenth. This is the same as saying 9 ×
, which equals
, or 0.9.”
Work through another example or two from above (more if needed) and have student pairs or groups complete another while you monitor. Check for understanding by doing the Quick Response Activity Part 2, again using whiteboards or paper that students can use to quickly show responses.
Quick Response Activity Part 2
- “Write the number 35.678 in both written and expanded form.” (thirty-five and six hundred seventy-eight thousandths; (3 × 10) + (5 × 1) + (6 × 0.1) + (7 × 0.01) +
(8 × 0.001))
- “Write the number 272.09 in both written and expanded form.” (two hundred seventy-two and nine hundredths; (2 × 100) + (7 × 10) + (2 × 1) + (0 × 0.1) +
(9 × 0.01))
- “Write the number 4.065 in both written and expanded form.” (four and sixty-five thousandths; (4 × 1) + (0 × 0.1) + (6 × 0.01) + (5 × 0.001))
- “In the number 716.784, what represents a part smaller than one? How would you write this part as a fraction? Could you write the entire number as a mixed fraction?” (The .784 part is smaller than 1. As a fraction, this part is
. As a mixed fraction, the entire number is
.)
Partner Place-Value Project
Place students in pairs for this activity. Hand out the Partner Place-Value Project sheet (M-5-5-1_Partner Place Value Project and KEY.docx). Allow students to work for approximately 20 minutes. Allow additional time for students to share. While students are working, choose a portion of each pair’s project for them to present to the class. Select a variety that will represent the different aspects of the lesson and help summarize it. Students should complete the entire activity on the sheet, but prepare a poster or other display to share the portion you selected for them with the class.
While students are working on the Partner Place Value Project, walk about the room observing work and conversations. Make suggestions or ask guiding questions to assist any students who are struggling or demonstrate a misunderstanding of one or more concepts. Pay particular attention to any students you identified as needing help during the Quick Response activities. Encourage students to make appropriate adjustments during work time, or after they present, if a misconception is discovered at that time.
Exit Ticket
Each student or pair of students should complete the exit ticket at the end of the lesson (M-5-5-1_Lesson 1 Exit Ticket and KEY.docx). These may be collected from students as they leave class and used to determine concept mastery.
Extension:
- Routine: Discuss the importance of understanding and using the correct vocabulary words to communicate mathematical ideas clearly. During this lesson the following terms should be entered into students’ vocabulary journals: base-ten blocks, base-ten number, expanded form, hundredths, place value, tenths, thousandths, and word form. Keep a supply of Vocabulary Journal pages (M-5-5-1_Vocabulary Journal.docx) on hand so students can add pages as needed. Bring up practical instances using place value as they are seen throughout the school year in math examples and other content areas such as science class or shopping at home. Ask students to bring in examples of large and/or decimal numbers that they see in magazines or newspaper stories. Encourage them to describe the meaning of the number and its place values in that particular context.
- Small Group: Place Value Stations
Use these or similar stations for students who are having difficulty with the concept of whole number or decimal place values or number forms. Students can work alone or in pairs as they move through the stations.
Work Station 1: Place the extra set of place value name cards at this station, mixed in random order. Write four (or more) multidigit numbers on a piece of chart paper. Post instructions directing students to arrange the place value labels for each digit above the digits. When the labeling is complete, students should be directed to raise their hand to have you check their label placement. If labels are placed correctly, the student(s) should read the numbers aloud and name the value of each digit.
Use numbers such as:
- 92,488 (Ninety-two thousand, four hundred eighty-eight;
9 ten thousands, 2 thousands, 4 hundreds, 8 tens, 8 ones)
- 7,243,689 (Seven million, two hundred forty-three thousand, six hundred
eighty-nine;
7 millions, 2 hundred thousands, 4 ten thousands, 3 thousands, 6 hundreds, 8 tens, 9 ones)
- 58.97 (Fifty-eight and ninety-seven hundredths;
5 tens, 8 ones, 9 tenths, 7 hundredths)
- 364.592 (Three hundred sixty-four and five hundred ninety-two
thousandths;
3 hundreds, 6 tens, 4 ones, 5 tenths, 9 hundredths, 2 thousandths)
Work Station 2: Using base-ten blocks (or paper models) create four (or more) different groups of blocks in zip-top baggies or small bins. These blocks can represent whole numbers and/or decimal numbers. Post directions asking students to sort the pieces using place value mats (whole number, decimal or both) to find and write the value of each number. Students should be directed to check their answers with you or an answer envelope placed at the station. At least two of the numbers should have some place values higher than 10 so students need to regroup them. Use less regrouping if students need to work more on basic place value concepts.
Use numbers such as:
- 3 thousands, 5 hundreds, 14 tens, and 11 ones (4,911)
- 9 thousands, 16 hundreds, 8 tens, and 17 ones (10,697)
- 12 ones, 7 tenths, 5 hundredths, 11 thousandths (12.7511)
- 6 ones, 6 tenths, 14 hundredths, and 14 thousandths (6.754)
Provide place value mats, paper or chart paper, and pencils or markers.
Work Station 3: Post directions asking students to write the numbers provided in both written form and expanded form. Place a list of four numbers (or more) at the station.
Direct students to raise their hands when finished to have you check their work, or have an answer envelope prepared at the station.
Use numbers such as:
- 37,291 (Thirty-seven thousand, two hundred ninety-one;
(3 × 10,000) + (7 × 1,000) + (2 × 100) + (9 × 10) + (1 × 1))
- 206,354 (Two hundred six thousand, three hundred fifty-four;
(2 × 100,000) + (6 × 1,000) + (3 × 100) + (5 × 10) + (4 × 1))
- 91.82 (Ninety one and eighty-two hundredths;
(9 × 10) + (1 × 1) + (8 × 0.1) + (2 × 0.01))
- 304.709 (Three hundred four and seven hundred nine thousandths;
(3 × 100) + (4 × 1) + (7 × 0.1) + (9 × 0.001))
Provide paper or chart paper and markers or pencils.
- Technology Connection: Whole Number Place Value Practice
Use this activity for students who are having difficulty with the concept of whole number place values. Students can work alone or in pairs on the computer using one the following web resources:
- Manny’s Rumba (computer required)
http://www.learningbox.com/Base10/BaseTen.html
Students are asked to create specific whole number values (up to three digits) by sliding the correct number of base-ten block pieces into a framed area. They will combine ones, tens, and hundreds to create three-digit numbers.
- Math Cats Place Value Party (computer required)
http://www.mathcats.com/explore/age/placevalueparty.html
This is an interactive activity allowing students to change digits to different place values (represented by candles and layers of a birthday cake) to discover or reinforce the relationship of 1/10 between adjacent place values.
- Expansion: The Metric Connection to Base-Ten
This activity (M-5-5-1_Expansion and KEY.docx) is appropriate for students who have shown proficiency in writing numbers in multiple forms, naming place values and meanings, and understanding the relationships between place values. Students with a strong understanding of the relationship of powers of ten when moving multiple place values can be challenged with this activity on metric conversions. This activity can be used as an independent activity if the directions are posted, or a guided activity with instruction from you.