# Symbols and Notations

**Symbols and Notations **is a form of reasoning that uses symbols to represent relationships between things. This notation can be used to represent mathematical and logical relationships between the numbers and letters.

A notations is a system of characters, symbols, or abbreviated expressions used in an art or science or in mathematics or logic to express technical facts or quantities.

Example :** **

If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation?

20 – 5 + 18 x (3 + 2) =?

Solution : 22

Given expression

20-5÷ 18 x (3 + 2) = ?

After changing the signs

? = 20 + 5- 18 ÷ (3 x 2)

or, ? = 20 + 5- 18 ÷ 6

or, ? = 20 + 5- 3

or, ? = 25 -3 = 22

Example :

If * means /, - means *, / means + and + means -, then (3 - 15 / 19) * 8 + 6 = ?

Solution: 2

Using the correct symbols, we have: Given expression = (3 * 15 + 19) / 8 - 6 = (45 + 19) / 8 - 6 = 64 / 8 - 6 = 8 - 6 = 2

Example :

Which alternative Cleary indicates the rule followed in the following set of numbers?

7 4 8 2 = 24

Solution : x, -, ÷

7 x 4 – 8 + 2 =>28-4 = 24

Example :

In a certain code language, '+' means '*', '*' means '-', '-' means '/' and '/' means '+'.

16 - 2 + 4 / 16 - 8 * 2

Solution : 32

As per the given expression,

16 - 2 + 4 / 16 - 8 * 2

becomes

16 / 2 * 4 + 16 / 8 - 2

Using BODMAS rule,

16 / 2 * 4 + 16 / 8 - 2

= 8 * 4 + 2 - 2

= 32 + 0

= 32

Example :

If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation? If L = +, M = – , N = x, P = ÷, then

5 N 5 P 5 L 5 M 5 =?

Solution : 5

Given expression

5 N 5 P 5 L 5 M 5=?

After changing the signs

?=5 x 5 ÷ 5 + 5 – 5

or, ? = 5 + 5- 5 = 5