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?

  • AAmelia
  • Bneither of them
  • Cboth of them
  • DOlivia

Q2:

Write |||βˆ’212||| 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|
  • Bβˆ’|𝑐+𝑑|
  • Cβˆ’||𝑐|βˆ’|𝑑||
  • D||𝑐|βˆ’|𝑑||
  • E|𝑐|βˆ’|𝑑|

Q4:

If two rational numbers, π‘Ž and 𝑏, are of the same sign, what is the sign of their sum?

  • Athe same sign as π‘Ž and 𝑏
  • Bthe opposite sign of π‘Ž and 𝑏

Q5:

What is the multiplicative inverse of |||74|||?

  • A47
  • B74
  • Cβˆ’74
  • Dβˆ’47

Q6:

Find the additive inverse of |||739|||.

  • Aβˆ’739
  • Bβˆ’397
  • C739
  • D397

Q7:

Write |||4313||| as a fraction.

  • A2513
  • B313
  • C713
  • D1213
  • E5513

Q8:

Write |βˆ’0.64| as a fraction.

  • Aβˆ’1625
  • B1625
  • Cβˆ’325
  • D325

Q9:

If two rational numbers, π‘Ž and 𝑏, are of the same sign, what is the absolute value of their sum?

  • Aπ‘Ž+𝑏
  • B||π‘Ž|βˆ’|𝑏||
  • Cβˆ’|π‘Ž+𝑏|
  • Dβˆ’π‘Žβˆ’π‘
  • E|π‘Ž|+|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 |||45|||.

  • Aβˆ’54
  • B45
  • C54
  • Dβˆ’45

Q12:

Given that |βˆ’13|=π‘₯, what is the value of π‘₯?

  • A|π‘₯|=13
  • B|π‘₯|=βˆ’13
  • Cπ‘₯=βˆ’13
  • Dπ‘₯=13

Q13:

State whether the following is true or false: βˆ’414 is equal to the absolute value of 414.

  • Afalse
  • Btrue

Q14:

βˆ’|βˆ’64|=.

Q15:

What is the absolute value of 0?

Q16:

On Wednesday, Isabella deposited $27 in her account. On Thursday, she withdrew $30. If you represent both of these situations by integers, which has the higher absolute value?

  • Awithdrawing $30
  • Bdepositing $27

Q17:

Can the absolute value of a number ever be a negative number?

  • Ayes
  • Bno

Q18:

Benjamin and Jacob both weigh 78 kg. Benjamin would like to gain weight, while Jacob wants to lose weight. They decide to go on a diet. After one month, Benjamin weighs 81 kg and Jacob 73 kg.

What are Benjamin’s and Jacob’s changes in weight?

  • ABenjamin: +5 kg, Jacob: βˆ’3 kg
  • BBenjamin: βˆ’3 kg, Jacob: +5 kg
  • CBenjamin: +3 kg, Jacob: +5 kg
  • DBenjamin: +3 kg, Jacob: βˆ’5 kg
  • EBenjamin: βˆ’5 kg, Jacob: +3 kg

Who had the larger change in weight?

  • AJacob
  • BBenjamin
  • CIt was the same for both.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.