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6-8 Accelerated 7 Unit 7 Lesson 12

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K-5 Math •6-8 Math 9-12 Math

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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
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Unit 7, Lesson 12

Estimating with Scientific Notation

Accelerated 7

Practice

Problem 1

Evaluate each expression. Use scientific notation to express your answer.

\((1.5 \times 10^2) (5 \times 10^{10})\)
\(\dfrac{4.8 \times 10^{\text-8}}{3 \times 10^{\text-3}}\)
\((5 \times 10^8) (4 \times 10^3)\)
\((7.2 \times 10^3) \div (1.2 \times 10^5)\)

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Problem 2

Lesson 12 Resources

Student Materials

How many bucketloads would it take to empty out the world’s oceans? Write your answer in scientific notation.

Some useful information:

The world’s oceans hold roughly \(1.4 \times 10^{9}\) cubic kilometers of water.
A typical bucket holds roughly 20,000 cubic centimeters of water.
There are \(10^{15}\) cubic centimeters in a cubic kilometer.

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Problem 3

ForLesson 4: Graphs of Functions

The graph represents the closing price per share of stock for a company each day for 28 days.

In the first week, was the stock price generally increasing or decreasing?
During which period did the closing price of the stock decrease for at least 3 days in a row?

Line graph, horizontal, 0 to 28 by 2, vertical, 0 to 80 by 10. Segments roughly connect 1 comma 45 to 7 comma 62, to 10 comma 32, to 15 comma 58, to 17 comma 51, to 20 comma 70 to 28 comma 56.

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Problem 4

ForLesson 10: Equations of All Kinds of Lines

Write an equation for the line that passes through \((\text- 8.5, 11)\) and \((5, \text- 2.5)\).

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Problem 5

ForLesson 7: Combining Bases

Select all the expressions that have the same value as \(4^{10} \boldcdot 5^{10}\)

\(9^{10}\)
\(20^{20}\)
\(20^{10}\)
\(2^{10} \boldcdot 2^{10} \boldcdot 5^{10}\)
\(20^{100}\)

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