Decimal Numbers

Q. How many rational and irrational numbers are there between 2 natural numbers?

1. 10000000
2. 1
3. Infinite
4. 0

Q.

Express the following recurring decimals as fractions.

$0.\overline{17}$

Q.

Convert the following unlike fractions into like fractions.

$\frac{3}{8},\frac{5}{6}and\frac{7}{36}$

Q.

Which of the following are two irrational numbers between 5 and 6 ?

1. $\sqrt{25},\sqrt{36}$

2. $\sqrt{5},\sqrt{6}$

3. $\sqrt{5\sqrt{30}},\sqrt{30}$

4. $5.5,5.7$

Q. $\text{should be subtracted from}\frac{-2}{3}\text{to get}\frac{5}{6}?$

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

Q.

Convert each of the following into decimal form: $\frac{625}{8}$

Q.

Find the sum:

$\frac{1}{9}+\frac{4}{9}+\frac{7}{9}$

Q. Identify the base of $(6ab{)}^3.$

1. 6a
2. 6
3. 6ab
4. ab

Q.

Convert each of the following into decimal form: $\frac{435}{16}$.

Q.

Find the additive inverse of each of the following.

$\frac{1}{2}$

Q. [11] To make the passage most logical, paragraph 2 should be placed _________.

1. Where it is now.
2. After paragraph 4
3. After paragraph 5
4. After paragraph 3

Q.

Identify the property :

$10+0=0+10=10$

Q.

Put a decimal point at the correct place in the product - $3.7\times 7=259$

Q. $\frac{3}{7}$ of $\frac{2}{5}$ $=$

1. $\frac{5}{12}$
2. $\frac{5}{35}$
3. $\frac{1}{35}$
4. $\frac{6}{35}$

Q.

Express $4.05$ km without using decimal.

Q. If the decimal point in a number is shifted one place to the left, the number becomes of the original number.

1. Twice
2. Ten times
3. $\frac{1}{10}$
4. $\frac{1}{100}$

Q. When we add days 4 times, we get an extra day every 4 years which is called a leap year.

1. 0.5
2. 0.25
3. 0.75
4. 0.2

Q.

Convert $4\frac{3}{8}$ to decimal.

1. 4.735

2. 3.475

3. 4.375

4. 0.4375

Q. $\text{The value of}\frac{45}{90}\times \frac{180}{2}=$.

1. $45$
2. $90$
3. $180$

Q. Burst the bubbles in which the decimal has been shifted to the left.

1. 5.0 to 50
2. 2 to 0.2
3. 0.7 to 0.07
4. 1.45 to 14.5
5. 632 to 63.2
6. 500.5 to 50.05
7. 7.77 to 77.70
8. 11.11 to 1.111

Q.

Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

1. 0.25

2. 0.66

3. 0.50

4. 0.75

Q.

If you have to represent 5 hours and 45 minutes in hours as decimals, how would you do it?

1. 5.45 hours

2. 5.44 hours

3. 5.04 hours

4. 5.75 hours

Q. What is the value of $12\times ({45}^3÷9^3)$?

Q.

Find the sum $:$ $0.06+9.5+40.05$

Q.

36 $\times$ 36 $\times$ 36 is 6 to the power how much?

Q. $0.009$ is equal to

1. $0.900$
   
2. $0.00900$
   
3. $0.090$
   
4. $0.90$
   

Q. If the decimal is shifted one place to the right, the number becomes times of the original number.

1. $\frac{1}{10}$
2. 10
3. $\frac{1}{100}$
4. 100

Q. 5 hours and 15 minutes is equivalent to

1. 5.15 hours
2. 5.25 hours
3. 5.30 hours
4. 5.45hours