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RD Sharma Solutions Class 6 Mathematics Solutions for Operations on whole numbers Exercise 4.3 in Chapter 4 - Operations on whole numbers

Question 6 Operations on whole numbers Exercise 4.3

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:

(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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