The document explains operations on real numbers, including addition, subtraction, multiplication, and division. It details how to handle numbers with like and unlike signs, providing examples for each operation. Real numbers encompass positive, negative, and zero values, including integers, rational, and irrational numbers.

1. OPERATIONS
ON REAL NUMBERS

2.  A Real number is a value that represents a
quantity along the number line. It can be
POSITIVE, NEGATIVE or neither in the case of
ZERO.
A real number is a value that can represent any
continuous quantity, positive or negative. Real
numbers include integers, rational numbers,
and irrational numbers.

3. 3

4. ADDITION OF REAL NUMBERS
To find the sum of two numbers with
the same sign,and their absolute
values.
The sign of the sum will be the
same as the sign of the two
numbers.

5. EXAMPLES:
(+5)+(+7)= 12
(+14)+(+13)= 27
(-4)+( -11)= -15
(-19)+( -21)= -40

6.  To add two numbers with different signs, subtract the
smaller absolute value from the larger. The result is
positive if the positive number has the larger absolute
value; otherwise, the result will be negative.
examples:
4 + ( -11 ) = - 7
( - 30 ) + 10 = - 20
36 + ( - 12 ) = 24
75 = ( - 25 ) = 50
6

7. SUBTRACTION OF REAL NUMBERS
For all real numbers a and b, a -
b = a + ( -b ).
Example:
10 – 23 = 10 + ( -23 ) = -13
15 – ( - 7 ) = 22
( -31 ) – 12 = ( - 31 ) + ( - 12 ) = - 43
( -17 ) – 36 =( - 17 ) + ( - 36 ) = - 53
7

8. MULTIPLICATION OF REAL NUMBERS
 Multiply two
numbers with like
signs by
multiplying their
absolute values.
The product will be
positive.
8
Example:
( - 9 ) ( -3 ) = 27
( 12 ) ( 5 ) = 60

9.  Multiply two numbers with unlike signs by
multiplying their absolute values. And the
product will be negative.
9
EXAMPLES:
( - 4 ) ( 20 ) = - 80
( 7 ) ( - 6 ) = - 42

10. DIVISION OF REAL NUMBERS
Divide two numbers with like signs
by dividing their absolute values.
Their quotient will be positive.
Divide two numbers with unlike
signs by dividing their absolute
values. Their quotient will be
negative.

11. THANK YOU!