Tag: written methods

Questions Related to written methods

Express as rupees using decimals,

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $5\ paise$

  2. $75\ paise$

  3. $20\ paise$

  4. $50\ rupees\ 90\ paise$

Show answer
Correct Option: A
Explanation:
let $1paisa$ =$100 rs$
So,
$(i).$
$=>5paisa=\dfrac{5}{100}=0.005rs$

$(ii).$

$=>75paisa=\dfrac{75}{100}=\dfrac{3}{4}=0.75rs$

$(iii).$
$20paisa=\dfrac{20}{100}=0.2rs$

$(iv).$

$50rs$ $90paisa=50rs+90paisa$

$=>50+\dfrac{90}{100}$

$>=50+0.9=50.9rs$


























Find the value of $x$: $10.5 \div x = 1.05 \div 0.5$.

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $0.05$

  2. $105$

  3. $0.105$

  4. $5$

Show answer
Correct Option: D
Explanation:

$\displaystyle\frac { 10.5 }{ x } = \displaystyle\frac { 1.05 }{ 0.5 } $

$x = \displaystyle\frac { 10.5\times 0.5 }{ 1.05 } = \displaystyle\frac { 105\times 5 }{ 105 } = 5$

If $\displaystyle\frac { 1 }{ 6.198 } = 0.16134$, then the value of $\displaystyle\frac { 1 }{ 0.0006198 } $ is.

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $16134$

  2. $1613.4$

  3. $0.16134$

  4. $0.016134$

Show answer
Correct Option: B
Explanation:

$\displaystyle\frac { 1 }{ 0.0006198 } = \displaystyle\frac { 1 }{ \displaystyle\frac { 6.198 }{ 10000 }  } = \displaystyle\frac { 10000 }{ 6.198 } $

$= 10000 \times 0.16134 = 1613.4$

Consider the following quotients:
I.   $368.39$ divided by $17$.
II.  $170.50$ divided by $62$.
III. $875.65$ divided by $83$.
Their correct sequence in decreasing order is ?

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. I, III, II

  2. II, I, III

  3. II, III, I

  4. III, I, II

Show answer
Correct Option: A
Explanation:

(I) $\displaystyle\frac{368.39}{17} = 21.67$


(II) $\displaystyle\frac{170.50}{62} = 2.75$
(III) $\displaystyle\frac{875.65}{83} = 10.55$
$\therefore$ The correct sequence in decreasing order is (I), (III), (II).

Simplified value for $(17.5+2.5)\div 5$ is

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $1$

  2. $2$

  3. $3$

  4. $4$

Show answer
Correct Option: D
Explanation:

$\left( 17.5+2.5 \right) \div 5$

$=\left( 20.0 \right) \div 5$
$ =20\div 5$

$ =4$
So, correct answer is option D.

If $\displaystyle \frac{547.527}{0.0082}=x $, then the value of $\displaystyle \frac{547527}{82}$ is 

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $\displaystyle \frac{x}{10}$

  2. 10x

  3. 100x

  4. $\displaystyle \frac{x}{100}$

Show answer
Correct Option: A
Explanation:

Given, $\displaystyle \frac{547.527}{0.0082}=x $


$\displaystyle \Rightarrow \frac{5475270}{82}=x $

$\displaystyle \Rightarrow \frac{5475270}{82}=\frac{x}{10} $

The sum of first 100 natural numbers is divisible by

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $10$

  2. $100$

  3. $50$

  4. All the above

Show answer
Correct Option: D
Explanation:

The sum of the $n$ natural numbers =$\frac{n\times (n+1)}{2}$
Here,$n=100$
$\therefore$ Sum=$\frac{100\times (100+1)}{2}$
$=\frac{100\times 101}{2}$
$=5050$
Option is D

How many numbers from 1 to 100 written in decimal form have the digit 5 in them?

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. $11$

  2. $10$

  3. $15$

  4. $19$

Show answer
Correct Option: D
Explanation:

The numbers can be easily counted.
5,15,25,35,45,50,51,52,53,54,55,56,57,58.59.65.75.85.95
Thus, there are 19 numbers

The number equal to 7 hundredths is

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. 0.7

  2. 0.07

  3. 0.007

  4. 1.07

Show answer
Correct Option: B
Explanation:

$\frac{7}{100} = 0.07$

The number equal to 22 thousandths is

maths calculating and mental strategies 3 written methods dividing decimals division of decimals

  1. 0.22

  2. 0.022

  3. 2.022

  4. 2.202

Show answer
Correct Option: B
Explanation:

$\frac{22}{1000} = 0.022$