(–5) × [–13 + 10]
Let us first solve the subtraction in the square brackets.
Ignoring the signs, let us subtract the smaller number from the bigger number.
13 – 10 = 3
Since the sign of bigger number is negative, the result is (–3).
The expression reduces to
(–5) × (–3)
The magnitude of (–5) is 5.
The magnitude of (–3) is 3.
The magnitude of the product is 15.
Since the product of two negative integers is always positive, the result is 15.
∴ (–5) × [–13 + 10] = 15