$(0.05\times 6.25)÷2.5=?$

What will come in place of the question mark (?) in the following questions?

The correct answer is 0.125.

To evaluate the given expression step-by-step, we follow the order of operations (BODMAS/PEMDAS), performing the operation inside the parentheses first before carrying out the division.

Step 1: Solve the expression inside the parentheses.

We need to multiply 0.05 by 6.25:

$0.05\times 6.25=0.3125$

Step 2: Perform the division.

Now, substitute the result back into the main expression and divide by 2.5:

$0.3125÷2.5$

To simplify the decimal division, we can express it as a fraction:

$\frac{0.3125}{2.5}$

Multiplying the numerator and the denominator by 10 to clear the decimal from the denominator gives:

$\frac{3.125}{25}$

Now, perform the division:

$3.125÷25=0.125$

Thus, the value that replaces the question mark (?) is 0.125.