Terminating and Repeating Decimals Worksheet

**Page 1**

1.

Which of the following is a terminating decimal?

a. | $\frac{1}{12}$ | ||

b. | $\frac{3}{2}$ | ||

c. | $\frac{3}{9}$ | ||

d. | $\frac{2}{3}$ |

For

For

For

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

So,

Correct answer : (2)

2.

Which of the following is a repeating decimal?

a. | $\frac{1}{4}$ | ||

b. | $\frac{1}{11}$ | ||

c. | $\frac{5}{10}$ | ||

d. | $\frac{8}{5}$ |

For

For

For

For

Therefore,

Correct answer : (2)

3.

Identify a repeating decimal.

a. | $\frac{3}{8}$ | ||

b. | $\frac{1}{15}$ | ||

c. | $\frac{3}{10}$ | ||

d. | $\frac{4}{5}$ |

For

For

For

For

Therefore,

Correct answer : (2)

4.

Identify a terminating decimal.

a. | $\frac{5}{9}$ | ||

b. | $\frac{1}{9}$ | ||

c. | $\frac{6}{8}$ | ||

d. | $\frac{5}{3}$ |

For

For

For

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

So,

Correct answer : (3)

5.

Which of the following gives you a terminating decimal?

a. | 11 ÷ 12 | ||

b. | 12 ÷ 15 | ||

c. | 4 ÷ 3 | ||

d. | 10 ÷ 9 |

For 11 ÷ 12, the quotient is 0.91666. . . and the digit 6 is repeating.

For 10 ÷ 9, the quotient is 1.11111. . . and the digit 1 is repeating.

For 12 ÷ 15, the quotient is 0.8.

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

So, 12 ÷ 15 is a terminating decimal.

Correct answer : (2)

6.

Pick the non-repeating decimal.

a. | 0.0777... | ||

b. | 0.033... | ||

c. | 0.03 | ||

d. | 0.0303... |

In the choices, all are repeating decimals except 0.03.

0.03 is the non repeating decimal.

Correct answer : (3)

7.

Identify the terminating decimal.

a. | 0.0545454... | ||

b. | 0.0655... | ||

c. | 0.055 | ||

d. | 0.155... |

Among the choices, except 0.055, all are repeating decimals.

So, 0.055 is a terminating decimal.

Correct answer : (3)

8.

Find the quotient of 12.4 ÷ 3 and write what type of quotient it is.

a. | 4.1333, repeating decimal | ||

b. | 4.1333, terminating decimal | ||

c. | 4.1, repeating decimal | ||

d. | None of the above |

[Given expression.]

Divisor = 3 and dividend = 12.4.

Quotient = 4.1333... and the digit 3 keeps repeating. It is a repeating decimal.

Correct answer : (1)

9.

Find the missing divisor in the table.

a. | 0.0001 | ||

b. | 100 | ||

c. | 10 | ||

d. | 0.001 |

The missing divisor = 0.001.

Check by dividing 44 by 0.001, we get

Correct answer : (4)

10.

In which of the cases is the quotient a repeating decimal?

i. 5 ÷ 100

ii. 5 ÷ 10

iii. 5 ÷ 0.001

i. 5 ÷ 100

ii. 5 ÷ 10

iii. 5 ÷ 0.001

a. | Case (iii) is repeating | ||

b. | None of the cases is repeating | ||

c. | Case (i) is repeating | ||

d. | Case (ii) is repeating |

[Consider case (i).]

Divisor = 100 and dividend = 5.

[Place the decimal point in quotient. Then divide.]

The quotient is 0.05 and for case (ii) quotient is 0.5 and for case (iii) quotient is 5000.

No quotient is repeating.

Correct answer : (2)