Question

If a -= 12 ; b = 34; verify the following (1) a×b = b ×a ( 2) a+b = b+a​

Answer 1

Given;  a -= 12 ; b = 34

To Find; (1) a ×b = b ×a ( 2) a+ b = b+ a​

Solution;(1) a ×b = b ×a

Put a=-12 and b=34

-12*34=-12*34

-408=-408

Hence verified

( 2) a+ b = b+ a

-12+34=34-12

26=26

hence verified

Answer 2

Concept;

One of the four fundamental operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them. In the illustration next to it, two apples are combined with three apples to create a total of five apples.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

Given information:

The given information is as follows:

a = $-12$

b = $34$

To find:

We need to verify the following properies:

1- a×b = b×a

2- a+b = b+a

Solution:

It is given that :

a = $-12$

b = $34$

Prooving property 1, solving LHS first:

a×b = $-12$ ×$34$

      = $-408$

Solving RHS of property 1 :

b×a = $34$ ×$-12$

      = $-408$

LHS = RHS

Property 1 verified.

Now solving LHS of property 2:

a+b = $-12+34$

       = $22$

Solving RHS  of property 2:

b+a = $34 + (-12)$

      = $22$

LHS = RHS of propert 2

The property 2 is also verified.

Hence both the properties are verified.

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