Answer:
pa brinlyes po=>
Step-by-step explanation:
In this section, you will learn GEMDAS rule that can be used to simplify or evaluate complicated numerical expressions with more than one binary operation easily.
Very simply way to remember GEMDAS rule :
G -----> Grouping (Parentheses)
E -----> Exponents
M -----> Multiplication
D -----> Division
A -----> Addition
S -----> Subtraction
Important Notes :
1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
2. Multiplication does not always come before division. We have to do one by one in the order from left to right.
3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
Examples :
16 ÷ 4 x 3 = 4 x 3 = 12
18 - 3 + 6 = 15 + 6 = 21
In the above simplification, we have both division and multiplication. From left to right, we have division first and multiplication next.
So we do division first and multiplication next.
To have better understanding on PEMDAS rule, let us look at some practice problems.
Practice Problems
Problem 1 :
Evaluate :
6 + 7 x 8
Solution :
Expression
6 + 7 x 8
Evaluation
= 6 + 7 x 8
= 6 + 56
= 62
Operation
Multiplication
Addition
Result
Problem 2 :
Evaluate :
(25 + 11) x 2
Solution :
Expression
(25 + 11) x 2
Evaluation
= (25 + 11) x 2
= 36 x 2
= 72
Operation
Grouping
Multiplication
Result
Problem 3 :
Evaluate :
102 - 16 ÷ 8
Solution :
Expression
102 - 16 ÷ 8
Evaluation
= 102 - 16 ÷ 8
= 100 - 16 ÷ 8
= 100 - 2
= 98
Operation
Power
Division
Subtraction
Result
Problem 4 :
Evaluate :
3 + 6 x (5 + 4) ÷ 3 -7
Solution :
Expression
3 + 6 x (5+4) ÷ 3 -7
Evaluation
= 3 + 6 x (5+4) ÷ 3 -7
= 3 + 6 x 9 ÷ 3 -7
= 3 + 54 ÷ 3 -7
= 3 + 18 -7
= 21 - 7
= 14
Operation
Grouping
Multiplication
Division
Addition
Subtraction
Result
Problem 5 :
Evaluate :
36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10
Solution :