Question

Find the product of the largest 5-digit number and the largest 3-digit number using distributive law.

Answer 1

Largest five-digit number = 99999
Largest three-digit number = 999

By using distributive law, we have:

Product = 99999 × 999
= 99999 × (1000 − 1) [By using distributive law]
= 99999 × 1000 − 99999 × 1
= 99999000 − 99999
= 99899001

OR

999 × 99999
= 999 × ( 100000 − 1) [By using distributive law]
= 999 × 100000 − 999 × 1
= 99900000 − 999
= 99899001