Expanded Form of Decimal

Q. Write $\frac{3}{12}$ in decimal form.

Q.

What are terminating and recurring decimals?

Q. Question 5 (iv)
Write the following decimal numbers in the expanded form:
2.034

Q. Question 5 (ii)
Write the following decimal numbers in the expanded form:
2.03

Q. Which one of the following is not equal to ${\left(\frac{100}{9}\right)}^{-3/2}$?

(a) ${\left(\frac{9}{100}\right)}^{3/2}$

(b) ${\left(\frac{1}{{\displaystyle \frac{100}{9}}}\right)}^{3/2}$

(c) $\frac{3}{10}\times \frac{3}{10}\times \frac{3}{10}$

(d) $\sqrt{\frac{100}{9}}\times \sqrt{\frac{100}{9}}\times \sqrt{\frac{100}{9}}$

Q. Arrange the following in increasing order:

2.5, 2.05, 2.505, 2.5005

1. 2< 4< 3< 5
2. 2< 3< 4< 5
3. 5< 2< 3< 4
4. 3< 4< 2< 5

Q. Cost of 9 pens is Rs 67.50. Find the cost of 1 pen in rupees.

1. Rs 9
2. Rs 7.9
3. Rs 8.3
4. Rs 7.5

Q. Simplify ${\left[{\left\{{\left(625\right)}^{-1/2}\right\}}^{-1/4}\right]}^2$

Q.

Which is greater? $1.37or1.49$

Q.

Write the following decimal numbers in the expanded form: $20.03$

Q.

Write the expression in the decimal form : $\frac{4}{10}+\frac{3}{100}+\frac{4}{1000}$

Q.

1. 0.774

2. 0.674

3. 1

4. 0

Q. Find the value of $\frac{6}{\sqrt{5}-\sqrt{3}}$, it being given that $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$

Q. Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 × 25

(ii) 322 × 322 − 2 × 322 × 22 + 22 × 22

(iii) 0.76 × 0.76 + 2 × 0.76 × 0.24 + 0.24 × × 0.24

(iv) $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$

Q.

Write the following as the decimal:-

Five and Sixty-nine-thousandths

Q.

Four times a number exceeds its one-third by 121. Find the number

1. 44

2. 33

3. 11

4. 22

Q. If $\sqrt{2}=1.4142$ then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to

(a) 0.1718

(b) 5.8282

(c) 0.4142

(d) 2.4142

Q.

Decimals with the same number of decimal places are called___________ while those having different number of decimal places are called ___________decimals.

Q. Today the whole world is the same age. Today is a very special day. It happens only once after every 1, 000 year.

Your age + your year of birth, every person is =2018 .
Why is this happening??

Q. Expanded form of 0.012 is _____

1. $\frac{0}{1000}+\frac{1}{100}+\frac{2}{10}$
2. $\frac{0}{10}+\frac{1}{100}+\frac{2}{1000}$
3. $\frac{1}{100}+\frac{2}{100}$
4. $\frac{1}{100}+\frac{2}{1000}$

Q.

Convert the following decimals to fractions.
1. 0.8
2. 0.75
3. 0.625

Q. Find the value to three places of decimals .It is given that root2=1.414, root3=1.732, root10=3.162 and root5=2.236.Then find root10-root5/root2?

Q.

Write the number given in the following place value table in decimal form:

Hundreds	Tens	Ones	Tenths	Hundredths	Thousandths
$100$	$10$	$1$	$\frac{1}{10}$	$\frac{1}{100}$	$\frac{1}{1000}$
$2$	$1$	$1$	$9$	$0$	$2$

Q. Every normal year has extra day, which sums up to give the one extra day in a leap year.

1. 1
2. 0.5
3. 0.25

Q.

The Decimal point shifted 5 places to the left and then 2 places to the right. What is the number now if the original number was 456789.102

1. 45.6789102

2. 456.789102

3. 4567.89102

4. 45678.9102

Q.

If the decimal is shifted 2 places to the left in the decimal , 312749.563738 what will be the digit at the thousand's position?

1. 3

2. 7

3. 1

4. 4

Q.

Write the number given in the following place value table in decimal form:

Hundreds	Tens	Ones	Tenths	Hundredths	Thousandths
$100$	$10$	$1$	$\frac{1}{10}$	$\frac{1}{100}$	$\frac{1}{1000}$
$0$	$0$	$3$	$2$	$5$	$0$

Q. Which of the following is the correct expanded form of 0.0504?

1. $\frac{0}{10000}+\frac{5}{1000}+\frac{0}{100}+\frac{4}{10}$
2. $\frac{5}{1000}+\frac{4}{10}$
3. $\frac{5}{10}+\frac{4}{100}$
4. $\frac{5}{100}+\frac{4}{10000}$

Q. To get expanded form of 0.01, 1 should be multiplied with ____

1. $\frac{1}{10}$
2. $\frac{1}{100}$
3. $\frac{1}{1000}$
4. 100

Q. To get expanded form of 0.205, 2 should be multiplied with ____.

1. $\frac{1}{10000}$
2. $\frac{1}{100}$
3. $\frac{1}{10}$
4. $\frac{1}{1000}$