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During this lesson you will learn:

• What a reciprocal is

• How to calculate reciprocals of whole numbers

• How to calculate reciprocals of fractions

• How to calculate reciprocals using a scientific calculator

You need to open the Beginner’s Guide to Reciprocals.

• You will find it at learn/number/reciprocals/

• You will use this the Beginner’s Guide to Reciprocals to help you answer the questions on this sheet.

1. What is a reciprocal?

2. Work out the reciprocals of these numbers.

Use Marvo’s Marvellous Reciprocal Calculator to find the answers.

a. 2

b. 5

c. 6

d. 10

e. 12

f. 15

g. 20

h. 30

i. 100

j. 28

3. What did you notice about the answers in question 2?

4. Is there a quick way to work out the answers?

5. Work out the reciprocals of these fractions.

Use Marvo’s Marvellous Reciprocal Calculator (for fractions) to find the answers.

a. [pic]

b. [pic]

c. [pic]

d. [pic]

e. [pic]

6. What did you notice about the answers in question 4?

Is there a quick way to work out the answers?

7. Work out the reciprocals of these fractions.

Use Marvo’s Marvellous Reciprocal Calculator (for fractions) to find the answers.

a. [pic]

b. [pic]

c. [pic]

d. [pic]

e. [pic]

8. What did you notice about the answers in question 6?

Is there a quick way to work out the answers?

9. There is a button on a scientific calculator for calculating reciprocals.

What does the button look like? Sketch it in the space below:

Can you find this button on your calculator?

Watch out – it might be a second function!

10. Use your calculator to find the reciprocals of these numbers.

a. 4

b. 25

c. 200

d. 0.2

e. 0.5

f. 625

g. 0.25

h. 1.4

i. 1.8

j. 0.16

11. Use your calculator to find the reciprocals of these fractions.

12.

a. [pic]

b. [pic]

c. [pic]

d. [pic]

e. [pic]

f.

Can you get 60% correct on these questions for GCSE grade D?

30% correct is worth grade E.

1. Without using a calculator, write down the reciprocals of these numbers.

g. 4

a. 8

b. 50

c. 37

d. 6

2. Without using a calculator, write down the reciprocals of these fractions.

e. [pic]

a. [pic]

b. [pic]

c. [pic]

d. [pic]

3. Without using a calculator, write down the reciprocals of these fractions.

e. [pic]

f. [pic]

g. [pic]

h. [pic]

i. [pic]

4. Use your calculator to find the reciprocals of these numbers.

j. 10

a. 200

b. 250

c. 0.72

d. 0.9

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