Lesson 2
Points on the Number Line
Problem 1
For each number, name its opposite.
- -5
- 28
- -10.4
- 0.875
- 0
- -8,003
Solution
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Problem 2
Plot the numbers -1.5, \(\frac{3}{2}\), \(\text-\frac{3}{2}\), and \(\text-\frac{4}{3}\) on the number line. Label each point with its numeric value.
![A number line with 5 evenly spaced tick marks. The numbers negative 2 through 2 are indicated.](https://staging-cms-im.s3.amazonaws.com/s8CrmJfocHpM31NbehedZ4K1?response-content-disposition=inline%3B%20filename%3D%226.7.A.PP.Image.01a.png%22%3B%20filename%2A%3DUTF-8%27%276.7.A.PP.Image.01a.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T151143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e59e1f0b35770f2b33ced35aabc604890600f70e62f96ea177bea833b4ccbb40)
Solution
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Problem 3
Plot these points on a number line.
- -1.5
- the opposite of -2
- the opposite of 0.5
- -2
Solution
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Problem 4
-
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.
- 5 degrees above zero
- 3 degrees below zero
- 6 degrees above zero
- \(2\frac34\) degrees below zero
- Order the temperatures above from the coldest to the warmest.
Solution
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(From Unit 7, Lesson 1.)Problem 5
Solve each equation.
- \(8x = \frac{2}{3}\)
- \(1\frac{1}{2}=2x\)
- \(5x = \frac{2}{7}\)
- \(\frac{1}{4}x = 5\)
- \(\frac{1}{5}=\frac{2}{3}x\)
Solution
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(From Unit 6, Lesson 5.)Problem 6
Write the solution to each equation as a fraction and as a decimal.
-
\(2x = 3\)
-
\(5y = 3\)
-
\(0.3z = 0.009\)
Solution
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(From Unit 6, Lesson 5.)Problem 7
There are 15.24 centimeters in 6 inches.
-
How many centimeters are in 1 foot?
-
How many centimeters are in 1 yard?
Solution
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(From Unit 3, Lesson 4.)