Question

Determine the product of:

(i) the greatest number of four digits and the smallest number of three digits.
(ii) the greatest number of five digits and the greatest number of three digits.

Answer 1

(i) The largest four−digit number = 9999
The smallest three−digit number = 100
∴ Product of the smallest three−digit number and the largest four−digit number = 9999 × 100 = 999900

(ii) The largest five-digit number = 9999
The largest number of three digits = 999
∴ Product of the largest three-digit number and the largest five−digit number = 9999 × 999
= 9999 × (1000 − 1)
= (9999 × 1000) − (9999 × 1)
= 9999000 − 9999 = 9989001