Worksheet: Reciprocals

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

Q1:

What is the reciprocal of 13?

  • A 1 1 1 3
  • B 1 1 3
  • C13
  • D0

Q2:

What is the reciprocal of 2322?

  • 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.

  • A4
  • B 5 4
  • C 1 4
  • D 4 5

Q4:

What is the reciprocal of 1514? 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 1111? Give your answer in its simplest form.

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

Q6:

What is the reciprocal of 612?

  • A 1 2
  • B 1 3 2
  • C2
  • D 2 1 6
  • E 2 1 3

Q7:

What is the reciprocal of 612? Give your answer in its simplest form.

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

Q8:

What is the reciprocal of 34÷59? Give your answer in its simplest form.

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

Q9:

Find the multiplicative inverse of 83+92.

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

Q10:

× 2 1 5 = 1 .

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

Q11:

What is the multiplicative inverse of 7+6?

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

Q12:

Given that 1𝑥=265, find the value of 𝑥 and express it in its simplest form.

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

Q13:

Find the multiplicative inverse of 414.

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

Q14:

Find the value of 𝑥 for which the rational number 𝑥1826 does not have a multiplicative inverse.

Q15:

What is the multiplicative inverse of 𝑥?

  • A 1 𝑥
  • B 𝑥
  • C 𝑥
  • D ( 𝑥 )

Q16:

What is the reciprocal of 827? Give your answer in its simplest form.

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

Q17:

What is the reciprocal of 118÷310? Give your answer in its simplest form.

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

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