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

Q1:

What is the reciprocal of 1 1 2 7 ?

Q2:

Find the multiplicative inverse of 5 9 + 3 4 .

Q3:

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

Q4:

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

Q5:

What is the reciprocal of 13?

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

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

Q11:

What is the multiplicative inverse of 𝑥 6 ?

Q12:

Find the multiplicative inverse of − 4 1 4 .

Q13:

× 2 1 5 = 1 .

Q14:

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

Q15:

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

Q16:

What is the reciprocal of 6 1 2 ?

Q17:

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

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