Unit 7, Lesson 11

Representing Small Numbers on the Number Line

Grade 8

Practice

Problem 1

Select all the expressions that are equal to \(4 \boldcdot 10^{\text-3}\).

\(4 \boldcdot (\frac{1}{10}) \boldcdot (\frac{1}{10}) \boldcdot (\frac{1}{10})\)
\(4 \boldcdot (\text{-}10) \boldcdot (\text{-}10) \boldcdot (\text{-}10)\)
\(4 \boldcdot 0.001\)
\(4 \boldcdot 0.0001\)
\(0.004\)
\(0.0004\)

Problem 2

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

0.04
0.072
0.0000325
three thousandths
23 hundredths
729 thousandths
41 millionths

Problem 3

Plot the following points on the number line:

\(10^{\text-8}\)
\(3 \boldcdot 10^{\text-8}\)
\(5 \boldcdot 10^{\text-9}\)
\(25 \boldcdot 10^{\text-9}\)

Problem 4

ForLesson 9: Slopes Don't Have to Be Positive

A family sets out on a road trip to visit their cousins. They travel at a steady rate. The graph shows the distance remaining to their cousins' house for each hour of the trip.

How fast are they traveling?
Is the slope positive or negative? Explain how you know and why that fits the situation.
How far is the trip and how long did it take? Explain how you know.

Coordinate plane, x, 0 to 8 by 1, y, 0 to 500 by 20. A line segment connects 0 comma 480 to 8 comma 0.<br>

Problem 5

ForLesson 8: Combining Bases

Select all of the expressions that have the same value as \((3 \boldcdot 5)^2\).

\(15^2\)
\(6 \boldcdot 10\)
\(3 \boldcdot 5 \boldcdot 3 \boldcdot 5\)
\(3 \boldcdot 3 \boldcdot 5 \boldcdot 5\)
\(9 \boldcdot 25\)
60
225

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