Question

Find the product. Of largest 5 digit no.and largest 3 digit no using distributive property

Answer 1

99899001 is the product of largest 5 digit no. and largest 3 digit no using distributive property.

Given:

Largest 5 -digit number and largest 3- digit number  

To find:

Product of largest 5 -digit number and largest 3- digit number using distributive property = ?

Solution:

The largest five digit number in the number system is = 99999

Similarly, the largest three digit number in the system is = 999

Using Distributive properties which is, $a \times (b - c) = (a \times b) - (a \times c)$

Therefore, multiplying the largest 5 digit number with largest 3 digit number we get

$99999 \times 999 = 99999 \times (1000-1)$

Similarly applying distributive properties to the RHS we get

$=( 99999 \times 1000)- (99999 \times 1)$

$= 99999000-99999$

Therefore, the number formed after multiplication of 5 large digit and 3 large digit is  

$99999 \times 999 = 99899001.$

99899001 is the product of largest 5-digit no. and largest 3 -digit no using distributive property.

Answer 2

Answer:

The product of largest five digit number and largest three digit number is 99899001.

Step-by-step explanation:

We know that the Largest five digit number = 99999

The largest three digit number = 999

According to the distributive property, a x (b - c) = (a x b) – (a x c)

Hence multiplying the largest five digit number and the largest three digit number becomes,  

99999 x 999 = 99999 x (1000-1)

Applying distributive property to the right hand side becomes,

=( 99999 x 1000)- (99999 x 1)

= 99999000 – 99999

99999 x 999 = 99899001.