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What is the value of 0.25×(0.25÷0.25)(0.25×0.25)×0.25\frac{0.25 \times \left( 0.25 \div 0.25 \right)}{\left( 0.25 \times 0.25 \right) \times 0.25
Question

What is the value of 0.25×(0.25÷0.25)(0.25×0.25)×0.25\frac{0.25 \times \left( 0.25 \div 0.25 \right)}{\left( 0.25 \times 0.25 \right) \times 0.25} ?​

A.

4

B.

0.4

C.

16

D.

1.6

Correct option is C

Given:

0.25×(0.25÷0.25)(0.25×0.25)×0.25\frac{0.25 \times \left( 0.25 \div 0.25 \right)}{\left( 0.25 \times 0.25 \right) \times 0.25} 

Concept Used:

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}​​

Solution:

0.25×(0.25÷0.25)(0.25×0.25)×0.25 =0.25×1(0.25×0.25)×0.25 =0.25(0.25×0.25)×0.25 =0.250.0625×0.25 =0.250.015625 =16 \frac{0.25 \times \left( 0.25 \div 0.25 \right)}{\left( 0.25 \times 0.25 \right) \times 0.25}\\\ \\= \frac{0.25 \times 1}{\left( 0.25 \times 0.25 \right) \times 0.25}\\\ \\= \frac{0.25}{\left( 0.25 \times 0.25 \right) \times 0.25}\\\ \\= \frac{0.25}{0.0625 \times 0.25}\\\ \\= \frac{0.25}{0.015625}\\\ \\= 16\\\ \\

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