Questions & Answers

Question

Answers

A. ${\text{5}}{\text{.4327 $\times$ 3}}{\text{.572 $\times$ 5}}{\text{.7}}$

B. ${\text{5}}{\text{.4327 $\times$ 3}}{\text{.572 $\times$ 0}}{\text{.57}}$

C. ${\text{54327 $\times$ 3572 $\times$ 0}}{\text{.0000057}}$

D. ${\text{5432}}{\text{.7 $\times$ 3}}{\text{.572 $\times$ 0}}{\text{.000057}}$

Answer
Verified

Decimal numbers are the numbers having their whole number part and fractional parts separated by a decimal point. The digits which come after the decimal points are called decimal places. The number of decimal places a decimal has is the number of digits present in the number after the decimal point.

We have the expression $\left( {{\text{54}}{\text{.327 $\times$ 357}}{\text{.2 $\times$ 0}}{\text{.0057}}} \right)$. This has a total of 8 decimal places.

As it is multiplication, the total number of decimal places will be the same after the multiplication. So, we can check through the options.

The 1st option is ${\text{5}}{\text{.4327 $\times$ 3}}{\text{.572 $\times$ 5}}{\text{.7}}$. It has a total decimal place of ${\text{4 + 3 + 1 = 8}}$.

The second option is ${\text{5}}{\text{.4327 $\times$ 3}}{\text{.572 $\times$ 0}}{\text{.57}}$. The total number of decimal places of this expression is ${\text{4 + 3 + 2 = 9}}$

The 3rd option is ${\text{54327 $\times$ 3572 $\times$ 0}}{\text{.0000057}}$. It has a total number of decimal places of 7

The last option is ${\text{5432}}{\text{.7 $\times$ 3}}{\text{.572 $\times$ 0}}{\text{.000057}}$ and have a total number of decimal places equal to${\text{1 + 3 + 6 = 10}}$

So, the only option matching with the number of decimal places in the question is option A.

Therefore,