Equalities in Math

Introduction to equalities in math:

A state of two values in equal position is termed as equalities in math. The symbol ‘=’ is used for representing a equalities of values. On the other hand we can say that the ‘=’ symbol should match the right hand side to the left hand side.

Example, p=q. Here p, q are termed as equalities in math.


Equalities in math:


Equalities allow some basic operation of math.

Addition:

By adding a number on both sides of equality results another equality.

Example:

Consider an equality p+q. In this if we add the value x, then the equality becomes p+x=q+x.

Subtraction:

By subtracting a common value on both sides of equality results another equality.

Example:

Consider an equality p+q. In this if we subtract the value x, then the equality becomes p-x=q-x.

Multiplication:

If we multiply a number on both sides of equalities, then the result is same.

Example:

p.c = q.c

Division:

If we divide a number on both sides of equalities, then the result is same.

Example:

p `-:` c = q `-:` c


Example problems for equalities in math:


Example: 1

Which of the following is equal 6+10

a. 10+6

b .8+8

c. 2+10

d. 3+7

Solution:

Given equality is 6+10

6+10 = 16

The first choice 10+6 gives =16

Hence 6+10 = 10+6

Answer: 10+6

Example: 2

Which of the following is equal to 9 . 12 =

a) 15 . 2

b) 27 . 4

c) 10 . 12

d) 5.15

Solution:

Given 9 .12 = 108

First choice gives 15 . 2 =30

Second choice gives 27 . 4 =108

Answer: 27 . 4


Practice problems for equalities in math:


Problem: 1

Which of the following is equal to 144 `-:` 2

a) 158 `-:` 9

b) 162`-:` 4

c) 216 `-:` 3

d) 404 `-:` 10

Answer: 216 `-:` 3

Problem: 2

Which of the following is equal to 12 - 5

a) 5-2

b) 17-10

c) 10-8

d) 76-66

Answer: 17-10