Simplify the following using suitable properties:a. b. $6842\times 999+6842$"

Given :

The given expressions are,

a. $342 \times 12 +342 \times 8$

b. $6842 \times 999 + 6842$.

To do :

We have to simplify the given terms using suitable properties.

Solution :

Distributive Property:

The distributive property of multiplication states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.

This property is symbolically stated as:

$a (b+c) = a\times b + a\times c$

$a (b-c) = a\times b - a\times c$

a. $342 \times 12 + 342 \times 8$

$= 342 \times (12 + 8)$

$= 342 \times 20 $

$= 6840$.

The value of  $342 \times 12 +342 \times 8$ is 6480.

b. $6842\times 999 + 6842$

$= 6842 \times 999 + 6842 \times 1$

$= 6842 \times (999+1)$

$=6842 \times 1000 $

$= 6842000$.

The value of $6842\times 999 + 6842$ is 6842000.

Tutorialspoint

Updated on: 10-Oct-2022

12 Views

Kickstart Your Career

Get certified by completing the course

Get Started