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

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

Step-by-step 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.          

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

x = 3 ± √(5+y)