Question

4. Using properties of multiplication, find the product of

a. the greatest number of four digits and the smallest number of three digits

b. the greatest number of four digits and the greatest number of three digits Fill in the hi​

Answer 1

Step-by-step explanation:

greatest number of three digits = 999

and smallest number of five digits = 10000

Required product = 999 × 10000 = 9990000

(ii) greatest number of four digits = 9999

and the greatest number of three digits = 999

Required product = 9999 × 999

= 9999 × (1000-1)

= 9999 × 1000 - 9999 × 1 (using distributivity)

= (10000 - 1) × 1000 - (10000 - 1) × 1

= 10000 × 1000 - 1 × 1000 - 10000 + 1]

= 10000001 - 11000

= 9989001