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Question

Find the product of greatest 4 -digit number and the greatest 3 -digit number using the properties of whole number.


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Solution

Step 1: Greatest 4 -digit number

The greatest 4 -digit number = 9999

Step 2: Greatest 3 -digit number

The greatest 3 - digit number = 999

Step 3: Using properties of whole number to find product between them

Product of greatest 4 -digit number and the greatest 3 -digit number = 9999 × 999

= 9999 × (1000 − 1)

= 9999000 – 9999 (using distributive property)

= 9989001

Hence, Product of greatest 4 -digit number and the greatest 3 -digit number = 9989001


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