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Introduction to Order of Operations
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What you will learn from this videoWhat you will learn
- Groupings include parentheses, brackets and braces. Always solve what is inside them first.
- Then multiply/divide left to right before adding/subtracting left to right.
- Following the order of operations allows everyone to get the same correct answer.
- Discussion Questions
Before Video
If you are going to add 3, 7 and 5 together, does the order you add them in matter? Why or why not?ANSWERI can add 3 and 7 to make 10 then 5 to make 15. Or I can add 7 and 5 to make 12 then 3 to make 15. The order does not matter.
The order does matter. (3 + 2) x 4 = 5 x 4 = 20 and 3 + (2 x 4) = 3 + 8 = 11.
4 + 2 x 5
Sample answer: Scientists need to evaluate expressions to calculate important numbers. If two scientists do the same calculation, they need to get the same answer.
Sample answer: I multiply and divide first. If there is more than one multiplication or division I calculate left to right. Then I add or subtract, left to right.
After Video
Do you get the same value when you evaluate (5 – 2) – 1 and 5 – (2 – 1)? Explain.ANSWER(5 – 2) – 1 = 2 and 5 – (2 – 1) = 4. You do not get the same value. In the first example, you subtract 2 from 5 first and then subtract 1. In the second example, you subtract 1 from 2 and then you subtract that answer from 5. This results in different answers for the two expressions.
Add 6 + 2 to get 8. Subtract 3 from 8 to get 5. Multiply 5 x 8 to get 40.
ANSWER(5 + 3) x (15 – 13)
(1/8 + 5/8) + (3 x 2)
ANSWER6 6/8 or 6 3/4
Marina has 65 toy cars to sell. 15 are yellow, 30 are green, and the rest are red. How many of Marina's toy cars are red?
ANSWER65 – (15 + 30)
- Vocabulary
- Order of Operations DEFINE
The order of operations is a set of rules for deciding in what order to perform the operations when evaluating an expression.
- Parentheses DEFINE
Parentheses are used to show grouping in an expression.
- Brackets DEFINE
Brackets are used to show grouping in an expression.
- Expression DEFINE
An expression is a mathematical sentence with numbers, variables, and/or operations.
- Operation DEFINE
The operations are addition, subtraction, multiplication, and division.
- Order of Operations DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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- Questions appear on the teacher's screen. Students answer on their own devices.
Level 1
Evaluate this expression: (7 + 3) x (6 ÷ 3)
Level 2
What is the numerical expression for four times the result of subtracting four from seven?
Level 3
Put parentheses in this expression so it has a value of 2: 7 + 5 ÷ 6
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