Question

Find the product of the greatest 4-digit number and the smallest 3-digit number.

Answer 1

Answer:

the largest 4-digit number is 9999 and smallest 3-digit number is 100 and the product is 10,000

Answer 2

Answer: 9999 × 999 = 9989001

Step-by-step explanation:

TO FIND:- The product of the greatest 4 digit number and the greatest 3 digit number using the properties of whole number?

SOLUTION:-

The greatest 4 digit number is 9999.

The greatest 3 digit number is 999.

The product of the greatest 4 digit number and the greatest 3 digit number.

i.e. 9999 × 999

We can split, 999 = 1000 - 1

So we get, 9999 × (1000 - 1)

Applying distributive property of whole number,

Multiplication of a whole number is distributed over the difference of the whole numbers i.e. a (b - c) = ab - ac

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

9999 × (1000 - 1) = 9999000 - 9999

9999 × (1000 - 1) = 9989001

Therefore, the required product is 9999 × 999 = 9989001

HOPE THIS WILL HELP YOU TO CLEAR YOUR DOUBT!