Practice30Create account

Simplify without a calculator: .

Class 6Whole NumbersWhole Numbers
  • A4,800
  • B3,216
  • C1,584
  • D4,320

Step-by-Step Solution

Both terms share the factor 48, so take it outside: . Working out only the first product gives 3,216 and only the second gives 1,584, each of which is half the job. The value 4,320 comes from adding 67 + 33 wrongly as 90.
Answer: A) 4,800

Key idea: Properties of whole-number addition and multiplication

**Commutative**: a + b = b + a, and a × b = b × a. Order does not matter for addition or multiplication.

**Associative**: (a + b) + c = a + (b + c), and (a × b) × c = a × (b × c). Grouping does not matter.

**Distributive**: a × (b + c) = a × b + a × c. Multiplication 'distributes over' addition. This is one of the most useful rules in all of maths.

**Identity**: a + 0 = a (zero is the additive identity), and a × 1 = a (one is the multiplicative identity).

**Multiplying by zero**: a × 0 = 0 for every whole number a.

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 Whole Numbers practice questions

More Class 6 Whole Numbers practice

Complete the step 15 × 106 = 15 × 100 + 15 × ___ . Which number fills the blank, and…A school in Bhopal orders 205 water bottles costing 18 rupees each. Using 205 = 200 + 5…Kabir says, 'Zero is the identity for both addition and multiplication, because it never…A whole number is multiplied by 0, and then 1 is added to the product. If the number was…Which statement pairs each identity with the right operation?