Tag: dividing decimals

Questions Related to dividing decimals

$\displaystyle 225.500\div 0.5$ =

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

  1. 4.51

  2. 45.1

  3. 451

  4. .451

Show answer
Correct Option: C
Explanation:

correct option is C..

Solve:
$\displaystyle 122.5 \div 1000 = $

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

  1. $.01225$

  2. $.1225$

  3. $1.225$

  4. $12.25$

Show answer
Correct Option: B
Explanation:

$122.5/1000$

$=1225/10000$
$=0.1225$
Hence Option B

If the cost of $20$ fans is Rs. $248.50$, then the cost of one fan is

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

  1. $Rs.\ 12.46$

  2. $Rs.\ 12.42$

  3. $Rs.\ 12.40$

  4. $Rs.\ 12.425$

Show answer
Correct Option: D
Explanation:

cost of $20$ fans = Rs. $248.50$

cost of $1$ fan = Rs. $248.50/20$=$12.425$ Rs.
Hence Option D

3 tenth 5 thousandths is written as

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

  1. 35.00

  2. 0.35

  3. 3.5

  4. 0.305

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Correct Option: D
Explanation:

The first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit. 


Read the whole set of three decimal digits as a number, and say, "tenths", "hundredths" and “thousandths.” 0.305 has 3 tenths, 0 hundredths, and 5 thousandths. While 0.305 is the sum of 3/10, 0/100, and 5/1000, it is also 305/1000.

So option D is the correct answer.

Divide $150.75\div 0.6$

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

  1. 251.25

  2. 2512.5

  3. 25125

  4. 25.125

Show answer
Correct Option: A
Explanation:

$150.75\div 0.6$

$\Rightarrow$  $\dfrac{150.75}{0.6}=\dfrac{150.75\times 10}{0.6\times 10}$

                     $=\dfrac{1507.5}{6}$

                     $=251.25$

$143.6\div 2000= .............$

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

  1. 0.1718

  2. 7.18

  3. 0.718

  4. 0.0718

Show answer
Correct Option: D
Explanation:

$143.6\div 2000=71.8\div 1000$
$=0.0718$

$58+\frac {3}{100}+\frac {7}{1000}= ......$

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

  1. 58.0037

  2. 58.37

  3. 58.037

  4. none of these

Show answer
Correct Option: C
Explanation:

$58+\frac {3}{100}+\frac {7}{1000}$
$=58+\frac {0}{10}+\frac {3}{100}+\frac {7}{1000}=58.037$

A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of $\displaystyle \left( { 10 }^{ 4 }-{ 10 }^{ 2 } \right) \left( 0.00\overline { 12 }  \right) $

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

  1. 0

  2. $\displaystyle 0.\overline { 12 } $

  3. 1.2

  4. 10

  5. 12

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Correct Option: E
Explanation:

$\displaystyle \left( { 10 }^{ 4 }-{ 10 }^{ 2 } \right) \left( 0.00\overline { 12 }  \right) $

= $ 9900 \times $ $0.00\overline{12}$
= $ 99 $ $\times$ $0.\overline{12}$..................(1)
Also, we know that
$ 0.\overline{12} $ = X
$ 12.\overline{12}$= 100X
Thus, 99X = 12 or X = $\cfrac{12}{99}$
So, (1) becomes
$99 \times \cfrac{12}{99} = 12$ So, option E

Rename the following decimals as percents.
$13.02$

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

  1. $1,30.2$ $\%$

  2. $1,3.02$ $\%$

  3. $1,302$ $\%$

  4. $1,3020$ $\%$

Show answer
Correct Option: C
Explanation:

$13.02 = \dfrac{1302}{100}$


When we talk about percents, we should multiply the number with $100$

So, the given decimal in percents is $\dfrac{1302}{100} \times 100 = 1302$ $\%$

Rename the following decimals as percents.
$0.374$

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

  1. $0.0374\%$

  2. $3.74\%$

  3. $37.4\%$

  4. $374\%$

Show answer
Correct Option: C
Explanation:

$0.374 = \dfrac{374}{1000}$


When we talk about percents, we should multiply the number with $100$
.
So the given decimal in percents is $\dfrac{374}{1000} \times 100 = \dfrac{374}{10} = 37.4$ $\%$