Decimal Representation of Rational Numbers

Q.

Write the fraction $\frac{45}{10}$ as decimal

Q. The decimal number 0.224 when expressed as a rational number is

1. $\frac{28}{125}$
2. $\frac{23}{125}$
3. $\frac{27}{125}$

Q. Ranjeet travels $\frac{45}{2}$ km to his hometown. If he takes a bus for $\frac{22}{5}$ km and a train for the remaining journey, what distance (in decimals) did he travel by train?

1. 17.1 km
2. 20.25 km
3. 18.1 km
4. 16.79 km

Q. A vendor bought lemons at the rate of $6$ for a rupee. How many for a rupee must he sell to gain $20\%$?

1. $5$ lemons
2. No lemons
3. $4$ lemons
4. $6$ lemons

Q.

Question 95

The table shows the time four elevtors take to travel various distances. Find, which elevator is fastest and which is slowest.

How much distance will be travelled by elevators B and C seperately in 140 sec? Who traveled more and by how much?

Q. Lakshmi is a cashier in a bank. She has currency notes of denominations $Rs.100,Rs.50$ and $Rs.10$ respectively. The ratio of number of these notes is $2:3:5$. The total cash with lakshmi is $Rs.4,00,000$. How many notes of each denomination does she have?

Q. Non terminating and repeating rational number from among the following is .

1. 38
2. 110
3. 17

Q.

Waheedas school is at a distance of $5$km $350$m from her house. She travels $1$km $70$m by foot and the rest by bus. How much distance does she travel by bus ?

Q.

Kulwant lives $8\frac{3}{4}$km away from his school. He has covered $6\frac{7}{18}$km. How much distance has he still to go?

Q. Hasan buys $2$ kinds of cloth material for school uniform, shirt material that costs him $Rs.50$ per metre and trouser material that costs him $90$ per metre. For every $2$ metres of trouser material he buys $3$ metres of shirt material. He sells the material at $12$% and $10$% profit respectively. His total sale is $Rs.36660$. How much trouser material did he buy?

Q.

Write the fraction $\frac{7}{10}$ as decimal

Q.

Write the fraction $\frac{4}{5}$ as decimal.

Q.

Let $a$ & $b$ be integers.

When can $-\frac{1}{a}$ be written as a positive, repeating decimal?

Q.

$\frac{4}{20}$ as a decimal is :

1. 0.20

2. 0.25

3. 0.40

4. 0.4

Q. How much rupees are necessary for Jigna to buy $5$ toothbrush and toothpaste, each costing $Rs.12.50$ and a toothpaste costing $Rs.34.50$?

Q.

Convert the following fraction into decimal form:
$\frac{448}{2500}$

1. 0.1856

2. 0.1792

3. 0.1892

4. 0.1752

Q.

How is $\frac{12}{25}$ represented as a decimal?

1. 4.8

2. 0.48

3. 48

4. 0.048

Q. Convert $\frac{4}{11}$ into decimal form.

1. $0.\overline{36}$
2. $0.37\overline{36}$
3. $36.\overline{36}$
4. $18.\overline{36}$

Q.

Which of the following fractions is a terminating decimal?

1. $\frac{1}{6}$

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

3. $\frac{1}{5}$

4. $\frac{1}{7}$

Q.

Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or a non-terminating decimal expansion:
$\frac{7^3}{2^3\times 5^2}$ and $\frac{3\times 7^3}{2^3\times 3}$

1. $\frac{7^3}{2^3\times 5^2}$ - Non terminating
   
   $\frac{3\times 7^3}{2^3\times 3}$ - Terminating

2. Both have terminating decimal expansions.

3. Both have non-terminating decimal expansions.

4. $\frac{7^3}{2^3\times 5^2}$ - Terminating
   
   $\frac{3\times 7^3}{2^3\times 3}$ - Non terminating

Q. The decimal representation of a rational number is ___ in nature.

1. non terminating, non repeating
2. terminating
3. recurring
4. terminating or recurring

Q. $0.12\overline{45}$ is the decimal representation of the rational number .

1. $\frac{411}{300}$
2. $\frac{41}{3300}$
3. $\frac{411}{3300}$