Worksheet: Reciprocals

In this worksheet, we will practice finding the reciprocal (the multiplicative inverse) of an integer, a fraction, or a mixed number.

Q1:

What is the reciprocal of 13?

  • A0
  • B13
  • C 1 1 1 3
  • D 1 1 3

Q2:

What is the reciprocal of 2 3 2 2 ?

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

Q3:

What is the reciprocal of 1.25? Give your answer as a fraction in its simplest form.

  • A 1 4
  • B 5 4
  • C4
  • D 4 5

Q4:

What is the reciprocal of 1 5 1 4 ? Give your answer in its simplest form.

  • A 1 1 4
  • B 1 5 1 4
  • C 1 1 5
  • D 1 4 1 5

Q5:

What is the reciprocal of 1 1 1 1 ? Give your answer in its simplest form.

  • A12
  • B 1 2 1 1
  • C 1 1 1
  • D 1 1 1 2
  • E11

Q6:

What is the reciprocal of 6 1 2 ?

  • A 2 1 6
  • B 1 3 2
  • C 1 2
  • D 2 1 3
  • E2

Q7:

What is the reciprocal of 6 1 2 ? Give your answer in its simplest form.

  • A 1 2
  • B 1 1 2
  • C2
  • D 2 1 1
  • E 6 1 2

Q8:

What is the reciprocal of 3 4 ÷ 5 9 ? Give your answer in its simplest form.

  • A 3 4
  • B 2 7 2 0
  • C 4 3
  • D 2 0 2 7

Q9:

Find the multiplicative inverse of 8 3 + 9 2 .

  • A 6 4 3
  • B 4 3 6
  • C 4 3 6
  • D 6 4 3

Q10:

× 2 1 5 = 1 .

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

Q11:

What is the multiplicative inverse of 7 + 6 ?

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

Q12:

Given that 1 𝑥 = 2 6 5 , find the value of 𝑥 and express it in its simplest form.

  • A 5 2 6
  • B 1 3 0
  • C 1 2 6 5
  • D 2 6 + 5

Q13:

Find the multiplicative inverse of 4 1 4 .

  • A 1 4
  • B 4
  • C 1 2
  • D 4 1 7

Q14:

Find the value of 𝑥 for which the rational number 𝑥 1 8 2 6 does not have a multiplicative inverse.

Q15:

What is the multiplicative inverse of 𝑥 6 ?

  • A 1 𝑥
  • B ( 𝑥 ) 6
  • C 𝑥 5
  • D 𝑥 6

Q16:

What is the reciprocal of 8 2 7 ? Give your answer in its simplest form.

  • A 2 7
  • B 5 4 7
  • C 7 2
  • D 7 5 4
  • E 8 2 7

Q17:

What is the reciprocal of 1 1 8 ÷ 3 1 0 ? Give your answer in its simplest form.

  • A 1 1 8
  • B 5 5 1 2
  • C 8 1 1
  • D 1 2 5 5

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