Question

the village. PWNU Lil
products.
8. Determine the product of the greatest number of four digits and the smallest
number of three digits. Also find the product of the smallest number of four digits
and the greatest number of three digits. Find the difference between the two​

Answer 1

(i) Greatest number of three digits = 999

and Smallest number of five digits = 10000

Required product = 999 x 10000 = 9990000

(ii) Greatest number of four digits = 9999

and Greatest number of three digits = 999

Required product = 9999 x 999

= 9999 x (1000 – 1)

= 9999 x 1000 – 9999 x 1 (using distributivity)

= (10000- 1) x 1000 – (10000- 1) x 1

= 10000 x 1000 – 1 x 1000 – 10000 + 1

= 10000000 – 1000 – 10000 + 1

= 10000001 – 11000

= 9989001