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6-8 Accelerated 7 Unit 7 Lesson 8

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Accelerated 6 •Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 •Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 7, Lesson 8

Representing Large Numbers on the Number Line

Accelerated 7

Practice

Problem 1

Match each number to its name.

1,000,000
0.01
1,000,000,000
0.000001
0.001
10,000

One hundredth
One thousandth
One millionth
Ten thousand
One million
One billion

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Problem 2

Lesson 8 Resources

Student Materials

Write each expression as a multiple of a power of 10:

42,300
2,000
9,200,000
Four thousand
80 million
32 billion

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Problem 3

Write the number \(437,000\) three different ways using powers of 10.

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Problem 4

For each pair of numbers, circle the number with the larger value. Estimate about how many times larger.

\(17 \boldcdot 10^8\) or \(4 \boldcdot 10^8\)
\(2 \boldcdot 10^6\) or \(7.839 \boldcdot 10^6\)
\(42 \boldcdot 10^7\) or \(8.5 \boldcdot 10^8\)

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Problem 5

What number is represented by point \(A\)? Explain or show your reasoning.

A zoomed in number line. Top line, 0 on the first tick mark, 10 to the twelth power on the 11th tick mark. The eighth &amp; ninth tick marks are zoomed out to show 11 tick marks, the fifth is labeled A.

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Problem 6

ForLesson 20: The Volume of a Sphere

A fully inflated basketball has a radius of 12 centimeters. Your basketball is inflated only halfway. How many more cubic centimeters of air does your ball need to fully inflate? Express your answer in terms of \(\pi\). Then estimate how many cubic centimeters this is by using 3.14 to approximate \(\pi\).

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