An expression such as (5 + 5) = (17 − 7) or (5 + 5) = (20 ÷ 2) is called an ‘equality’.

__UNIT−4__

__ALGEBRA__

**Situation**

**Mala:** Sir, my brother said he was studying
algebra.
What is algebra?

**Sir:**
To put it simply, algebraconsists of
the use of numbers and letters to state and solve problems.

**Arun:**
Does that mean addition and
subtraction of letters? How do we do that?

**Sir:
**To prepare for that, let’s first learn
a few things using numbers.

__Equality__

Whenever we add, subtract, multiply or
divide two numbers, the answer we get is always another number. For example
when we add 4 and 2, we get the number 6. We write this as 4 + 2 = 6.
Similarly, 10 − 4 = 6 , 12 ÷ 2 = 6, 6 × 1 = 6.

Now, let us think about this in
another way.

Suppose
that, by performing a mathematical operation on two numbers, we have obtained
the number 10. Let us find pairs of such numbers.

They could be (5 + 5), (17 − 7), (5 × 2),
(20 ÷ 2) etc.

When we want to say a number obtained by adding
5 and 5, it is easier to express it by using brackets like this: (5 + 5).

(17 − 7) means a number obtained by subtracting
7 from 17.

(5 × 2) means a number obtained by multiplying 5
by 2.

(20 ÷ 2) means a number obtained by dividing 20
by 2.

Arrangement of numbers like (5 + 5), (17 − 7),
(5 × 2) and (20 ÷ 2) are called expressions. The value of each of these
expressions is 10, which means all these expressions are equal to each other.

Hence, we can also write this as,

(5 + 5) = (17 − 7) = (5 × 2) = (20 ÷ 2)

An expression such as (5 + 5) = (17 − 7) or (5 +
5) = (20 ÷ 2) is called an
‘equality’.

5 + 2 = 7, 8 × 1 = 8 are also equalities.

Tags : Algebra | Term 3 Chapter 4 | 5th Maths , 5th Maths : Term 3 Unit 4 : Algebra

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