The
fundamental operations in mathematics are addition, subtraction, multiplication
and division. There are corresponding symbols for each. The plus sign (+)
is for addition. The minus sign (-) is for subtraction. The symbols “x”, “*”
and “•” signify multiplication. The obelus (÷) and forward slash (/) are used
for division.
Addition combines two or more numbers to
get their sum or total, while subtraction finds the difference between two
quantities. Multiplication is repeated addition; one of the numbers in a
multiplication equation indicates how many times the other number needs to be
added to itself. Division is the inverse of multiplication.
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.
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.
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]
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.
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.
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.
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