Lesson 10
Subtracting Rational Numbers
Problem 1
Write a sentence to answer each question:
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How much warmer is 82 than 40?
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How much warmer is 82 than -40?
Solution
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Problem 2
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What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
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What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Solution
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Problem 3
The table shows four transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
transaction amount | account balance | |
---|---|---|
transaction 1 | 360 | 360 |
transaction 2 | -22.50 | 337.50 |
transaction 3 | 182.35 | |
transaction 4 | -41.40 |
Solution
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Problem 4
Find each difference.
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\((\text-5) - 6\)
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\(35 - (\text-8)\)
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\(\frac25 - \frac35\)
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\(\text-4\frac38 - (\text-1\frac14)\)
Solution
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Problem 5
Last week, it rained \(g\) inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.
\(g - 0.05\)
\(g - 0.05g\)
\(0.95g\)
\(0.05g\)
\((1-0.05)g\)
Solution
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(From Unit 6, Lesson 5.)Problem 6
A company produces screens of different sizes. Based on the table, could there be a relationship between the number of pixels and the area of the screen? If so, write an equation representing the relationship. If not, explain your reasoning.
square inches of screen | number of pixels |
---|---|
6 | 31,104 |
72 | 373,248 |
105 | 544,320 |
300 | 1,555,200 |
Solution
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(From Unit 5, Lesson 5.)