Tag: division of decimals

Quizzes (0) Questions (58)

Questions Related to division of decimals

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

The result of $(54.327\times 357.2\times 0.0057)$ is the same as

  1. $5.4327\times 3.572\times 5.7$
  2. $5.4327\times 3.572\times 0.57$
  3. $54327\times 3572\times 0.0000057$
  4. $5432.7\times 3.572\times 0.000057$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$54.327 \times 357.2 \times 0.0057 = \cfrac {54327}{1000} \times \cfrac {3572}{10} \times \cfrac {57}{10000}$

                                             $= \cfrac {54327}{1000} \times \cfrac {10}{10} \times \cfrac {3572}{10} \times \cfrac {100}{100} \times \cfrac {57}{10000} \times \cfrac {1000}{1000}$
                                             $= \cfrac {54327}{10000} \times 10 \times \cfrac {3572}{1000} \times 100 \times \cfrac {57}{10000} \times \cfrac {1000}{1000}$

                                           $= 5.4327 \times 3.572 \times 5.7 \times 10 \times 100 \times \cfrac {1}{1000}$
                                           $= 5.4327 \times 3.572 \times 5.7$

Hence, option A is correct.

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

Evaluate : $\displaystyle \frac{0.0203\times2.92}{0.0073\times14.5\times0.7}$

  1. $0.2$
  2. $0.3$
  3. $0.6$
  4. $0.8$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We will first convert the decimals into fraction in the given fraction and then solve it as follows:


$\dfrac { 0.0203\times 2.92 }{ 0.0073\times 14.5\times 0.7 } =\dfrac { \dfrac { 203 }{ 10000 } \times \dfrac { 292 }{ 100 }  }{ \dfrac { 73 }{ 10000 } \times \dfrac { 145 }{ 10 } \times \dfrac { 7 }{ 10 }  }$

$ =\dfrac { \dfrac { 203\times 292 }{ 1000000 }  }{ \dfrac { 73\times 145\times 7 }{ 1000000 }  } =\dfrac { 203\times 292 }{ 73\times 145\times 7 }$

$=\dfrac{29\times 7 \times 73\times4}{73\times 29\times 5\times 7} =\dfrac { 4 }{ 5 } =0.8$

Hence, $\dfrac { 0.0203\times 2.92 }{ 0.0073\times 14.5\times 0.7 } =0.8$