Question

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

Answer 1

Greatest 4 digit=9999
Greatest 3 digit=999
9999 into 999=9989001

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Answer 2

Answer:

$9999\times 999=9989001$

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. $9999\times 999$

We can split, 999=1000-1

So, $9999\times (1000-1)$

Applying distributive property of whole number,

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

$9999\times (1000-1)=9999\times 1000-9999\times 1$

$9999\times (1000-1)=9999000-9999$

$9999\times (1000-1)=9989001$

Therefore, The required product is $9999\times 999=9989001$