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Worksheet: Operations on Real Numbers

Q1:

Given that the dimensions of a rectangle are 1 2 + 2 cm and 1 2 2 cm, find its area.

Q2:

Find the multiplicative inverse of 6 3 0 .

  • A 6 3 0
  • B 3 0 6
  • C 5 6
  • D 5 6
  • E 3 0 6

Q3:

Given that 𝑎 3 is the multiplicative inverse of 1 3 , find the value of 𝑎 .

Q4:

What is the additive inverse of 9 1 1 7 ?

  • A 1 7 1 7 9 1
  • B 9 1 1 7 1 7
  • C 1 7 1 7 9 1
  • D 9 1 1 7 1 7

Q5:

Find the multiplicative inverse of 6 + 7 expressing your answer in simplest form.

  • A 1 7 6
  • B 6 7
  • C 1 6 7
  • D 7 6

Q6:

Given that 𝑎 5 is the multiplicative inverse of 5 1 1 , find the value of 𝑎 .

  • A 1 1 5
  • B 5 1 1
  • C 5
  • D 1 1 5
  • E 1 1 5

Q7:

Given that the multiplicative inverse of 𝑎 + 2 is 𝑎 2 1 0 , find the value of 𝑎 .

Q8:

Complete 3 + 1 2 = 1 2 + .

  • A 1 5
  • B 3
  • C 1 5
  • D 3

Q9:

Complete 2 + 1 3 = 1 3 + .

  • A 1 5
  • B 2
  • C 1 5
  • D 2

Q10:

What is the additive inverse of 6 5 8 5 ?

  • A 6 5 + 8 5
  • B 8 5 6 5
  • C 6 5 8 5
  • D 8 5 6 5

Q11:

Find the multiplicative inverse of 1 2 1 4 .

  • A 1 4 1 2
  • B 1 2 1 4
  • C 1 2 1 4
  • D 1 4 1 2

Q12:

Find the multiplicative inverse of 0 . 3 6 , giving your answer in its simplest form.

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

Q13:

Find the additive inverse of 8 1 3 5 .

  • A 1 8 1 3 5
  • B 1 3 5 8
  • C 8 + 1 3 5
  • D 1 3 5 8

Q14:

Which of the following equations illustrates the multiplicative inverse property?

  • A 𝑥 ( 𝑏 + 𝑐 ) = 𝑥 𝑏 + 𝑥 𝑐
  • B 𝑥 + ( 𝑏 + 𝑐 ) = ( 𝑥 + 𝑏 ) + 𝑐
  • C 𝑥 + 𝑏 = 𝑏 + 𝑥
  • D 𝑥 1 𝑥 = 1
  • E 𝑥 0 = 0

Q15:

Given that 𝑥 = 1 1 2 8 , find 𝑥 1 .

  • A 2 4
  • B 1 4
  • C 2 2
  • D 1 4 1 4
  • E 8 1 4