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Find by regrouping the factors sensibly. What is the product?

Class 6Whole NumbersWhole Numbers
  • A900
  • B3,600
  • C1,000
  • D14,400

Step-by-Step Solution

Bring 25 and 4 next to each other (commutative) and multiply them first (associative): , then . Working strictly left to right gives , which is why 900 is a tempting but half-finished answer, and 14,400 comes from using the factor 4 twice.
Answer: B) 3,600

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.

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