Grade 08 Mathematics - EC: M08.B-E.1.1.3

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

8th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M08.B-E.1.1.3 M08.B-E.1.1.3

Estimate very large or very small quantities by using numbers expressed in the form of a single digit times an integer power of 10 and express how many times larger or smaller one number is than another. Example: Estimate the population of the United States as 3 × 10^8 and the population of the world as 7 × 10^9 and determine that the world population is more than 20 times larger than the United States’ population.

Activities

Write each number in scientific notation:
1. 1,305,000,000
2. 0.000007
3. 0.00000002001
4. 8,062,000,000,000

Write each number in standard notation:
1. 1.895 x 10^-9
2. 2.3 x 10¹²
3. 6.004 x 10⁷
4. 3 x 10^-5

Complete the following statement: 12 x 10¹⁰ is __________ times as great as 3 x 10⁴.

Complete the following statement: 8 x 10^-6 is _________ times as great as 2 x 10^-4.

If the world population is approximately 7,300,000,000, the US population is about 320,000,000, and Thailand’s population is about 70,000,000 write these numbers in scientific notation. Determine approximately how many times larger the world population is compared to the US and approximately how many times larger the world population is compared to Thailand.

The mass of a proton is about 2 x 10^-27 kg and the mass of an electron is about 9 x 10^-31 kg. The electron is about how many times as great as the proton?

Answer Key/Rubric

Answers as follows:
1. 1.305 x 10⁹
2. 7 x 10^-6
3. 2.001 x 10^-8
4. 8.062 x 10¹²

Answers as follows:
1. 0.000000001895
2. 2,300,000,000,000
3. 60,040,000
4. 0.00003

4,000,000

0.04

World population: 7.3 x 10⁹US population: 3.2 x 10⁸Thailand population: 7 x 10⁷World is about 20 times larger than the US and about 100 times larger than Thailand.

Acceptable response may include, but is not limited to:
The electron is about 0.00045 times as great as the proton.