Examples on Fundamental Operations

Examples on fundamental operations in simplifying mathematical expressions on different types of questions on integers are discussed here step by step.

The following examples will help us to understand the precedence of operations of addition, subtraction, multiplication and division.

1. Simplify: 24 - 4 ÷ 2 x 3

Solution:

24 - 4 ÷ 2 x 3

[Here order is expressed in short as ‘DMAS’ where ‘D’ stands for division, ‘M’ for multiplication, ‘A’ for addition and, ‘S’ for subtraction]

= 24 - 2 x 3 [Performing division - 4 ÷ 2 = -2]

= 24 - 6 [Performing multiplication 2 x 3 = 6]

= 18. [Performing subtraction 24 – 6 = 18]

Answer: 18.

2. Simplify: 48 ÷ 8 x 3 + 2

Solution:

48 ÷ 8 x 3 + 2

[Here order is expressed in short as ‘DMAS’ where ‘D’ stands for division, ‘M’ for multiplication, ‘A’ for addition and, ‘S’ for subtraction]

= 6 x 3 + 2 [Performing division 48 ÷ 8 = 6]

= 18 + 2 [Performing multiplication 6 x 3 = 18]

= 20. [Performing addition 18 + 2]

Answer: 20.

3. Simplify: (-20) + (-8) ÷ (-2) x 3

Solution:

(-20) + (-8) ÷ (-2) x 3

= (-20) + 4 x 3 [Performing division (-8) ÷ (-2) = 8 ÷ 2 = 4]

= (-20) + 12 [Performing multiplication 4 x 3 = 12]

= - 8. [Performing subtraction -20 + 12 = -8]

Answer: -8.

4. Simplify: (-5) - (-48) ÷ (-16) + (-2) x 6

Solution:

(-5) - (-48) ÷ (- 16) + (-2) x 6

= (-5) - 3 + (-2) x 6 [Performing division (-48) ÷ (- 16) = 48 ÷ 16 = 3]

= (-5) - 3 + (-12) [Performing multiplication (-2) x 6 = -12]

= -5 - 3 -12

= -8 - 12. [Performing addition -5 - 3 = -8]

= -20 [Performing addition -8 - 12 = -20]

Answer: -20.

5. Simplify: 52 - (2 x 6) + 17

Solution:

52 - (2 x 6) + 17

= 52 – 12 + 17

= 52 + 17 - 12

= 57

Answer: 57

In simplification these are the basic examples on fundamental operations used in the expression.