Symbols are frequently used in mathematical writing. The use of symbols makes the writing very short. Letters can be used like symbols to make our writing short and simple.

__Using
letters__

Symbols
are frequently used in mathematical writing. The use of symbols makes the
writing very short. For example, using symbols, division of 63 by 9 gives us
‘7’ can be written in short as “63 ÷ 9 = 7”. It is also easier to grasp.

**Letters can be used like symbols to
make our writing short and simple**

While
adding, subtracting or carrying out other operations on numbers, you must have
discovered many properties of the operations.

For
example, what properties do you see in sums like (7 + 3), (3 + 7)?

The
sum of any two numbers and the sum obtained by reversing the order of the two
numbers and the sum obtained by reversing the order of the two numbers is the
same.

Now
see how much easier and faster it is to write this property using letters.

Let
us use a and b to represent any two numbers. Their sum will be ‘a + b’

Changing
the order of those numbers will make the addition as ‘b + a’.

Therefore,
the rule will be, for all values of ‘a’ and ‘b’

(a
+ b) = (b + a).

Let us see two more examples

* Multiplying any number by 1 gives the number itself. It the
number is replaced by an alphabet ‘a‘, then the above statement can be
represented as a × 1 = a.

* Given two unequal numbers, the
division of the first by the second is not the same as the division of the
second by the first.

In short, if a and b are two different
numbers, then (a ÷ b) is not equal to (b ÷ a)

Take the valve of ‘a’ as 6 and the
value ‘b’ as 2 and verify the above property by yourself.

**Activity**

**Use a letter for “any
number” and write the following properties in short.**

i. The sum of a number and zero is the number itself

ii. The product of any two numbers and the product obtained
after changing the order of those numbers is the same.

iii. The product of a number and zero is zero

iv. Write the following properties in words

i. n−0=n

ii. m÷1=m

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

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5th Maths : Term 3 Unit 4 : Algebra : Using letters | Algebra | Term 3 Chapter 4 | 5th Maths

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