Estimate the approximate value that should replace the question mark (?) in the expression below (you are not expected to compute the exact result).

$13.9\times 6.01÷41.89=?÷5.9$

The correct answer is 12.

To estimate the value that should replace the question mark (?), we can round each number in the given expression to its nearest integer or convenient value for easy mental calculation.

The given expression is:

$13.9\times 6.01÷41.89=?÷5.9$

Let us approximate each term:

• 13.9 ≈ 14

• 6.01 ≈ 6

• 41.89 ≈ 42

• 5.9 ≈ 6

Now, substitute these approximate values into the expression:

$14\times 6÷42=?÷6$

Simplify the left side of the equation:

$\frac{14\times 6}{42}=?÷6$

Since 14 × 6 = 84:

$\frac{84}{42}=?÷6$

$2=\frac{?}{6}$

Now, solve for ? by multiplying both sides by 6:

$?=2\times 6$

$?=12$

Thus, the estimated value that replaces the question mark is 12.