Tag: calculating and mental strategies 3

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Questions Related to calculating and mental strategies 3

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

$54.327\times 357.2\times 0.0057$ 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
Given expression is $54.327\times 357.2\times 0.0057$
$\Rightarrow$  Number of decimal places in the given expression = $8$
$\Rightarrow$   Number of decimal places in (A) = 8
$\Rightarrow$   Number of decimal places in (B) = 9 
$\Rightarrow$   Number of decimal places in (C)= 7
$\therefore$    The expression in $(A)$ is the same as the given Expression.

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

Simplify $\left[\displaystyle\frac{(0.333)^3}{(0.111)^2}-\frac{(0.222)^4}{(0.111)^3}\right]$.

  1. $1.331$
  2. $1.221$
  3. $1.484$
  4. $1.551$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given, $[\dfrac{(0.333)^3}{(0.111)^2} - \dfrac{(0.222)^4}{(0.111)^3}]$
We can solve like 
= $[\dfrac{0.333 \times 0.333 \times 0.333}{0.111 \times 0.111} - \dfrac{0.222 \times 0.222 \times 0.222 \times 0.222}{0.111 \times 0.111 \times 0.111}]$
= ${3 \times 3 \times 0.333} - 2 \times  2 \times 2 \times 0.222$
= $2.997 - 1.776$
= $1.221$
Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

Find the product:
$\displaystyle 0.05\times 0.09\times 5$

  1. $0.025$
  2. $0.225$
  3. $0.005$
  4. $0.0225$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Multiply the numbers without decimal point
i.e. $5\times 9\times 5=225$
$0.05$ have decimal point after $2$ digits
$0.09$ have decimal point after $2$ digits
So, the product will have decimal point after $2+2=4$ digits
Thus, the product of $0.05\times 0.09 \times 5=0.0225$