Math Problem Statement

Compare numbers, order them, and find absolute values based on a number line.

Solution

Let's go over each of the exercises from your worksheet.

11. Compare (-3) and (-15)

You are asked to compare 3-3 and 15-15. Since 3-3 is closer to zero, it is greater than 15-15.

  • Answer: 3>15-3 > -15

12. Compare (8) and (5)

For this, you simply compare 88 and 55. Clearly, 88 is greater than 55.

  • Answer: 8>58 > 5

13. List the numbers in order from least to greatest:

Numbers: 2,8,15,5,3,1-2, 8, -15, -5, 3, 1

  • First, arrange these numbers on a number line: 15,5,2,1,3,8-15, -5, -2, 1, 3, 8
  • Answer: 15,5,2,1,3,8-15, -5, -2, 1, 3, 8

14. Absolute value of 2

The absolute value of 2 is simply 2=2|2| = 2.

  • Answer: 2=2|2| = 2

15. Absolute value of -8

The absolute value of 8-8 is 8=8|-8| = 8.

  • Answer: 8=8|-8| = 8

16. Absolute value of -5

The absolute value of 5-5 is 5=5|-5| = 5.

  • Answer: 5=5|-5| = 5

Do you want more details or have any questions?


Here are 5 related questions to test your understanding:

  1. What is the absolute value of -12?
  2. Compare 7-7 and 22.
  3. List these numbers in order from least to greatest: 7,3,5,9,07, -3, 5, -9, 0.
  4. What is the absolute value of 100-100?
  5. Compare 44 and 1-1.

Tip:

When comparing negative numbers, the closer the number is to zero, the greater it is.

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Math Problem Analysis

Mathematical Concepts

Number comparison
Absolute value
Number ordering

Formulas

Absolute value formula: |x| = x for x >= 0, |x| = -x for x < 0

Theorems

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Suitable Grade Level

Grade 6-7