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?

  • A13
  • B1113
  • C113
  • D0

Q2:

What is the reciprocal of 2322?

  • A123
  • B122
  • C2322
  • D2223

Q3:

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

  • A45
  • B54
  • C14
  • D4

Q4:

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

  • A1514
  • B114
  • C115
  • D1415

Q5:

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

  • A111
  • B1211
  • C1112
  • D12
  • E11

Q6:

What is the reciprocal of 612?

  • A216
  • B2
  • C132
  • D12
  • E213

Q7:

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

  • A211
  • B12
  • C112
  • D612
  • E2

Q8:

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

  • A43
  • B2027
  • C34
  • D2720

Q9:

Find the multiplicative inverse of 83+92.

  • A436
  • B643
  • C436
  • D643

Q10:

×215=1.

  • A2511
  • B212
  • C115
  • D215
  • E511

Q11:

What is the multiplicative inverse of 7+6?

  • A76
  • B1617
  • C17+16
  • D76
  • E1716

Q12:

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

  • A526
  • B1265
  • C130
  • D26+5

Q13:

Find the multiplicative inverse of 414.

  • A12
  • B4
  • C417
  • D14

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?

  • A𝑥
  • B(𝑥)
  • C𝑥
  • D1𝑥

Q16:

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

  • A754
  • B27
  • C547
  • D827
  • E72

Q17:

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

  • A811
  • B1255
  • C118
  • D5512

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