Question

Nathan estimated 67*36 by finding 70*40. Nathan’s estimate be greater than or less than the actual product? Explain.

Answer 1

Nathan's estimate would be greater than the actual product.

Explanation:

Let a, b, c, d be natural numbers such that a<c and b<d

Multiplying a positive number on both sides doesn't affect the inequality

⇒a×b < c×b and c×b < c×d

⇒a×b < c×d

Here 67<70 and 36<40

∴67×36<70×40

Hence, Nathan's estimate would be greater than the actual product.