Worksheet: Opposites and Absolute Value of Rational Numbers

In this worksheet, we will practice identifying the absolute values of rational numbers and their opposites.

Q1:

Amelia says that two numbers can have the same absolute value, while Olivia claims that one number can have two absolute values. Who is right?

  • Aneither of them
  • BAmelia
  • COlivia
  • Dboth of them

Q2:

Write | | | 2 1 2 | | | as a decimal.

Q3:

If two rational numbers, 𝑐 and 𝑑 , are of opposite signs, what is the absolute value of their sum?

  • A | 𝑐 | | 𝑑 |
  • B | 𝑐 | + | 𝑑 |
  • C | | 𝑐 | | 𝑑 | |
  • D | 𝑐 + 𝑑 |
  • E | | 𝑐 | | 𝑑 | |

Q4:

If two rational numbers, 𝑎 and 𝑏 , are of the same sign, what is the sign of their sum?

  • Athe opposite sign of 𝑎 and 𝑏
  • Bthe same sign as 𝑎 and 𝑏

Q5:

What is the multiplicative inverse of | | | 7 4 | | | ?

  • A 7 4
  • B 4 7
  • C 4 7
  • D 7 4

Q6:

Find the additive inverse of | | | 7 3 9 | | | .

  • A 7 3 9
  • B 3 9 7
  • C 3 9 7
  • D 7 3 9

Q7:

Write | | | 4 3 1 3 | | | as a fraction.

  • A 5 5 1 3
  • B 3 1 3
  • C 2 5 1 3
  • D 7 1 3
  • E 1 2 1 3

Q8:

Write | 0 . 6 4 | as a fraction.

  • A 1 6 2 5
  • B 3 2 5
  • C 3 2 5
  • D 1 6 2 5

Q9:

If two rational numbers, 𝑎 and 𝑏 , are of the same sign, what is the absolute value of their sum?

  • A | | 𝑎 | | 𝑏 | |
  • B 𝑎 𝑏
  • C | 𝑎 | + | 𝑏 |
  • D 𝑎 + 𝑏
  • E | 𝑎 + 𝑏 |

Q10:

If two rational numbers, 𝑐 and 𝑑 , are of opposite signs, what is the sign of their sum?

  • Athe sign of the number with the smaller absolute value
  • Bthe sign of the number with the larger absolute value

Q11:

Find the multiplicative inverse of | | | 4 5 | | | .

  • A 5 4
  • B 5 4
  • C 4 5
  • D 4 5

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