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.
● Numbers  Integers
Properties of Multiplication of Integers
Examples on Multiplication of Integers
Properties of Division of Integers
Examples on Division of Integers
Examples on Fundamental Operations
● Numbers  Worksheets
Worksheet on Multiplication of Integers
Worksheet on Division of Integers
Worksheet on Fundamental Operation
7th Grade Math Problems
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