Recurring and Terminating Decimals

Q.

Convert $0.35$ to a fraction in lowest terms

Q.

Alan rewrites a fraction less than $1$ as a decimal. A numerator is a whole number greater than $0$. For which denominator will the fraction always convert to a terminating decimal?

1. $12$

2. $16$

3. $13$

4. $9$

Q. What are decimals ?

Q.

$0.5\times 0.02=\_\_\_$

1. $0.10$

2. $0.01$

Q.

$1.8\times 1.2=\_\_$

Q.

Divide $37.96÷7.3$

Q. Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?
[5 marks]

Q.

Which of the following fraction will give non-terminating decimal on conversion?

1. 5.65 kg

2. 5.75 kg

3. 5.85 kg

4. 5.95 kg

Q.

Without actual division, determine which of the following has terminating or non-terminating decimal: $\frac{305}{108}$

Q. What is the significance of the line in the decimal number $23.534\overline{1717}$?

1. To show that the next value to 1717 is 1818
2. To show that the number cannot be represented as a fraction
3. To show that 1717 is the repeating terms of the decimal part
4. No significance.

Q.

Add: $23.71,9.9,4.023$

Q.

Write the following as decimals.

$900+7+\frac{9}{1000}$

Q.

Workout

$19.01-12.234$

Q.

$1.01\times 1.01=\_\_$

Q.

Workout

$5.82-2.65$

Q.

What is 10 divided by 3, rounded to 2 decimal places?

1. 3.33

2. 3.34

3. 3.32

4. 3.33333

Q.

Which of the following is a recurring decimal?

a)4.171717.....

b)5.131131131......

c)6.989989989989......

1. a

2. b

3. c

4. All of the above

Q. The recurring decimal number among 4.1765, 5.66666..., 7.1212125and3.14 is

1. 4.1765
2. 5.66666...
3. 7.1212125
4. 3.14

Q. Which of the following fractions is a recurring and non-terminating decimal?

1. $\frac{17}{16}$
2. $\frac{83}{25}$
3. $\frac{28}{9}$
4. $\frac{22}{32}$

Q.

Find the following product

$0.043\times 1000$

Q.

Write $1667\frac{7}{10}$ as decimals.

Q.

Which of the following is a recurring decimal?

a)4.171717.....

b)5.131131131......

c)6.989989989989......

1. b

2. a

3. All of the above

4. c

Q.

Which of the following is a recurring decimal?

a)4.171717.....

b)5.131131131......

c)6.989989989989......

1. b

2. c

3. All of the above

4. a

Q.

What is 10 divided by 3, rounded to 2 decimal places?

1. 3.33

2. 3.32

3. 3.34

4. 3.33333

Q.

Which of the following fraction will give non-terminating decimal on conversion?

1. 5.85 kg

2. 5.95 kg

3. 5.65 kg

4. 5.75 kg

Q.

Write the following decimal in a place value table.

$0.308$

Q.

$2.01\times 2.2=\_\_\_$

Q.

$0.1\times 0.1=\_\_$

Q.

$6.1\times 0.5=\_\_\_$

Q.

Calculate $53.8\times 1.3$