Identifying Fractions to be Terminating or Repeating Decimals

Q.

Without dividing, determine whether the decimal form of fraction terminates or repeats. Explain. $\frac{5}{7}$

Q. What is the fractional form of 0.3333...?

1. $\frac{1}{6}$
2. $\frac{1}{3}$
3. $\frac{1}{9}$
4. $\frac{1}{10}$

Q.

Write as decimal number:
$5+\frac{6}{100}+\frac{9}{1000}$

Q.

Write the given statement in the decimal form -zero point zero zero seven.

Q.

Write $0.4+0.25$ in fractions.

Q.

Write each of the following as decimals:

$700+30+\frac{4}{10}+\frac{5}{100}=$

Q.

Write the decimal as a fraction or a mixed number $2.0\overline{6}$.

Q. Choose the correct pair of repeating and terminating decimals/fractions.

1. $\frac{1}{25}$
2. $\frac{7}{11}$
3. $\frac{1}{20}$
4. $\frac{4}{100}$
5. 0.63636363636
6. $\frac{5}{100}$

Q.

From the following place value table, write the decimal number:-

Thousand	Hundred	Tens	Ones	Tenths	Hundredths	Thousandths
$\left(1000\right)$	$\left(100\right)$	$\left(10\right)$	$\left(1\right)$	$\left(\frac{1}{10}\right)$	$\left(\frac{1}{100}\right)$	$\left(\frac{1}{1000}\right)$
			$9$	$6$

Q.

how do you convert $0.16(6\mathrm{repeating})$ to a fraction?

Q. 0.200000000 is a terminating decimal, while 0.111111 is a repeating decimal.

1. False
2. True

Q.

From the given place value table, write the decimal number.

Thousands	Hundreds	Tens	Ones	Tenths	Hundredths	Thousandths
$\left(1000\right)$	$\left(100\right)$	$\left(10\right)$	$\left(1\right)$	$\left(\frac{1}{10}\right)$	$\left(\frac{1}{100}\right)$	$\left(\frac{1}{1000}\right)$
				$8$	$2$	$3$

Q.

Find:-

$7.15÷1000$

Q. Which of the following options represents terminating decimals?

1. $\frac{2}{9}$
2. $\frac{1}{11}$
3. $\frac{15}{4}$
4. $\frac{1}{6}$

Q.

Find:-

$9.75÷1000$

Q. Identify the fraction(s) which will result in non-terminating decimal number(s).

1. $\frac{6}{54}$
2. $\frac{27}{54}$
3. $\frac{3}{75}$
4. $\frac{9}{225}$

Q. Determine whether the given expression will result in a terminating or non-terminating decimal number.

$\frac{1}{13}\times \frac{26}{5}-\frac{1}{4}÷\frac{2}{17}$

1. Terminating decimal number.
2. Non-terminating decimal number.
3. Cannot be determined.

Q.

$\frac{3}{4}$ can be expressed in decimal form as:

1. $0.34$

2. $0.43$

3. $0.75$

4. $7.5$

Q. Pop the rational numbers that result in terminating decimal numbers

1. $\frac{3}{80}$
2. $\frac{1}{5}$
3. $\frac{3}{20}$
4. $-\frac{9}{75}$
5. $\frac{5}{15}$
6. $\frac{3}{125}$
7. $\frac{7}{100}$
8. $-\frac{7}{30}$

Q. Identify the number that can be multiplied to make the fraction $6\frac{1}{15}$ a terminating decimal number.

1. $2$
2. $3$
3. $5$
4. $51$

Q.

Find:-

$38.53÷1000$

Q. Which of the following options represents terminating decimals?

1. $\frac{2}{9}$
2. $\frac{1}{11}$
3. $\frac{15}{4}$
4. $\frac{1}{6}$

Q. Match the following fractions with their appropriate equaivalent values or statements.

1. Terminating decimal
2. Repeating decimal
3. $\frac{5}{2^2\times 3}$
4. $\frac{192}{1000}$

Q.

Express the given number shown in place value table in decimal form:

	Thousands $1000$	Hundreds $100$	Tens $10$	Ones $1$	Decimal point $.$	Tenths $\frac{1}{10}$	Hundredths $\frac{1}{100}$	Thousandths $\frac{1}{1000}$
	$3$	$0$	$0$	$1$	$.$	$0$	$0$	$1$

Q. Identify the expression which results in a terminating decimal number.

1. $\frac{1}{2}÷\frac{2}{7}+\frac{6}{7}$
2. $\frac{5}{14}+\frac{1}{2}÷\frac{7}{2}$

Q. Consider the fraction $\frac{m}{n}$ where $m$ is an integer. Choose the value of $\text{n}$ which will always result in terminating decimal number.

1. $32$
2. $30$
3. $\frac{2}{3}$

Q.

What are the first $10$ digits of $\mathrm{\pi }$.