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 option is 12.

To estimate the approximate value that should replace the question mark (?), we can round each number in the given expression to its nearest whole number for easier calculation.

Given expression:

$13.9\times 6.01÷41.89=?÷5.9$

Step 1: Rounding off the numbers to their nearest integers:

• 13.9 ≈ 14

• 6.01 ≈ 6

• 41.89 ≈ 42

• 5.9 ≈ 6

Step 2: Substituting these approximate values into the equation:

$14\times 6÷42=?÷6$

Step 3: Simplify the left-hand side of the equation:

$(14\times 6)÷42=84÷42=2$

Step 4: Now, rewrite the equation with the simplified left-hand side:

$2=?÷6$

Step 5: Solve for ? by multiplying both sides by 6:

$?=2\times 6$

$?=12$

Therefore, the approximate value that should replace the question mark is 12.