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.
(i) We know that
Largest four digit number = 9999
Smallest three digit number = 100
Product of both = 9999 × 100 = 999900
Hence, the product of the greatest number of four digits and the smallest number of three digits is 999900.
(ii) We know that
Largest five digit number = 9999
Largest three digit number = 999
Product of both = 9999 × 999
It can be written as
= 9999 × (1000 – 1)
By using distributivity of multiplication over addition subrtaction of whole numbers
= (9999 × 1000) – (9999 × 1)
On further calculation
= 9999000 – 9999
We get
= 9989001
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