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Absolute Value worksheet

Grades 6–7 · CCSS 6.NS.C.7.c, 7.NS.A.1.c

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- What do you want to find?: Absolute value of an expression
- Expression: 3 - 10 * 2
Find: Absolute value
Answer
2.
Problem 2.
- What do you want to find?: Absolute value of an expression
- Expression: 12 - 30
Find: Absolute value
Answer
3.
Problem 3.
- What do you want to find?: Distance between two numbers
- First number: -3
- Second number: 6
Find: Distance between the numbers
Answer
4.
Problem 4.
- What do you want to find?: Absolute value of an expression
- Expression: 1.5 - 4
Find: Absolute value
Answer
5.
Problem 5.
- What do you want to find?: Absolute value of a number
- Number: -6
Find: Absolute value
Answer
6.
Problem 6.
- What do you want to find?: Absolute value of a number
- Number: -5.5
Find: Absolute value
Answer
7.
Problem 7.
- What do you want to find?: Distance between two numbers
- First number: -3
- Second number: 5
Find: Distance between the numbers
Answer
8.
Problem 8.
- What do you want to find?: Distance between two numbers
- First number: -4
- Second number: 4
Find: Distance between the numbers
Answer
9.
Problem 9.
- What do you want to find?: Distance between two numbers
- First number: -2
- Second number: 5
Find: Distance between the numbers
Answer
10.
Problem 10.
- What do you want to find?: Distance between two numbers
- First number: -3
- Second number: 7
Find: Distance between the numbers
Answer

Answer key: Absolute Value worksheet

1. Absolute value: 17
1. Work out what's inside the bars first, multiplying and dividing before adding and subtracting
  $(3 - 10 * 2)$ $= −17$
2. The number is negative, so drop the minus sign
  $|-17|$ $= 17$
2. Absolute value: 18
1. Work out what's inside the bars first, multiplying and dividing before adding and subtracting
  $(12 - 30)$ $= −18$
2. The number is negative, so drop the minus sign
  $|-18|$ $= 18$
3. Distance between the numbers: 9
1. Subtract one number from the other. The order doesn't matter, because the next step removes any minus sign
  $−3 - 6$ $= −9$
2. Take the absolute value, since a distance can't be negative
  $|-9|$ $= 9$
4. Absolute value: 2.5
1. Work out what's inside the bars first, multiplying and dividing before adding and subtracting
  $(1.5 - 4)$ $= −2.5$
2. The number is negative, so drop the minus sign
  $|-2.5|$ $= 2.5$
5. Absolute value: 6
1. The number is negative, so drop the minus sign
  $|-6|$ $= 6$
6. Absolute value: 5.5
1. The number is negative, so drop the minus sign
  $|-5.5|$ $= 5.5$
7. Distance between the numbers: 8
1. Subtract one number from the other. The order doesn't matter, because the next step removes any minus sign
  $−3 - 5$ $= −8$
2. Take the absolute value, since a distance can't be negative
  $|-8|$ $= 8$
8. Distance between the numbers: 8
1. Subtract one number from the other. The order doesn't matter, because the next step removes any minus sign
  $−4 - 4$ $= −8$
2. Take the absolute value, since a distance can't be negative
  $|-8|$ $= 8$
9. Distance between the numbers: 7
1. Subtract one number from the other. The order doesn't matter, because the next step removes any minus sign
  $−2 - 5$ $= −7$
2. Take the absolute value, since a distance can't be negative
  $|-7|$ $= 7$
10. Distance between the numbers: 10
1. Subtract one number from the other. The order doesn't matter, because the next step removes any minus sign
  $−3 - 7$ $= −10$
2. Take the absolute value, since a distance can't be negative
  $|-10|$ $= 10$