Fractions, Decimals, Converting Fractions, Decimals, And Percents, Ratios, Exponents Worksheet With Answers Page 23
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30ORDER OF OPERATIONS
Order of Operations:
To evaluate an expression, the following must be followed:
•
Evaluate numbers with exponents.
•
Perform multiplication and division in order from left to right.
•
Perform additions and subtractions in order from left to right.
This can be more simply written as:
1)
Exponents
2)
Multiplication and division
3)
Additions and subtractions
Example: Evaluate: 3 + 2 ● 6
1)
Evaluate exponents
1)
3 + 2 ● 6
(no exponents)
2)
Evaluate multiplications and divisions
2)
3 + 12
3)
Evaluate additions and subtractions
3)
15
3
2
Example: Evaluate: 4 + 3 ● 2
– 2 ● 3
1)
Evaluate exponents
1)
4 + 3 ● 8 – 2 ● 9
2)
Evaluate multiplications and divisions
2)
4 + 24 – 18
3)
Evaluate additions and subtractions
3)
10
1.
40 – 2 ● 5
2.
40 ÷ 2 + 5
2
2
3.
3 ● 6
4.
8 ● 3 – 2
● 4
2
2
5.
8 ● 2 ÷ 4 – 8 ● 2 ÷ 4
6.
100 – 2
● 5
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