Practice30Create account

What is the value of (−12) × (−7) × (−3) × (8 − 8) × 25?

Class 7Integers (Extended)Integers
  • A−6300
  • B0
  • C6300
  • DIt cannot be found without a calculator.

Step-by-Step Solution

Simplify the bracket first: 8 − 8 = 0. Any product that contains a factor of 0 is 0, no matter how many other factors there are or what their signs are, so the value is 0 with no multiplying at all. Missing the bracket and grinding out with three negatives gives the trap answer −6300.
Answer: B) 0

Key idea: Properties — same as for whole numbers, mostly

Integers obey:
- **Commutative** for addition and multiplication: a + b = b + a; a × b = b × a.
- **Associative** for addition and multiplication: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c).
- **Distributive**: a × (b + c) = a × b + a × c — and this is true even when a, b, c are negative.

Subtraction and division are NOT commutative or associative for integers (they aren't for whole numbers either). Order and grouping matter.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Integers (Extended) practice questions

More Class 7 Integers (Extended) practice

Starting at 0, Kabir makes the equal orange jumps on the number line and stops at the…In this multiplication grid, each cell is the row number times the column number. What…The two thermometers show the temperature in Gulmarg at 8 p.m. and at 10 p.m. It keeps…A submarine is at the depth shown and sinks at the steady rate written beside it. After…In this quiz a correct answer gets +3 and a wrong answer gets −1. Meera answered all 20…