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

Lesson: Reciprocals

In this lesson, we will learn how to find the reciprocal (the multiplicative inverse) of an integer, a fraction, or a mixed number.

Sample Question Videos

01:01
00:39
01:59

Worksheet • 17 Questions • 4 Videos

Q1:

What is the reciprocal of 1 1 2 7 ?

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

Q2:

Find the multiplicative inverse of 5 9 + 3 4 .

  • A 3 6 4 7
  • B 4 7 3 6
  • C − 4 7 3 6
  • D − 3 6 4 7

Q3:

What is the multiplicative inverse of √ 7 + √ 6 ?

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

Q4:

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

  • A 4 5
  • B 5 4
  • C4
  • D 1 4

Q5:

What is the reciprocal of 13?

  • A 1 1 3
  • B13
  • C 1 1 1 3
  • D0

Q6:

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

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

Q7:

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

  • A 1 1 1 2
  • B11
  • C 1 2 1 1
  • D 1 1 1
  • E12

Q8:

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

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

Q9:

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

  • A 2 1 1
  • B 6 1 2
  • C 1 1 2
  • D2
  • E 1 2

Q10:

What is the reciprocal of 6 + 9 4 ? Give your answer in its simplest form.

  • A 4 3 3
  • B 6 9 4
  • C 3 3 4
  • D 4 9
  • E 9 4

Q11:

What is the multiplicative inverse of 𝑥 6 ?

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

Q12:

Find the multiplicative inverse of − 4 1 4 .

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

Q13:

× 2 1 5 = 1 .

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

Q14:

What is the reciprocal of 9 1 1 ÷ 5 2 ? Give your answer in its simplest form.

  • A 5 5 1 8
  • B 1 8 5 5
  • C 1 1 9
  • D 9 1 1

Q15:

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

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

Q16:

What is the reciprocal of 6 1 2 ?

  • A 2 1 3
  • B2
  • C 1 3 2
  • D 1 2
  • E 2 1 6

Q17:

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

Related Lessons