Course 1

1-4 Order of Operations1-4 Order of Operations

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Course 1

1-4 Order of Operations

Warm UpPerform the operations in order from left to right.

1. 8 + 4 – 22. 9 3 + 13. 7 – 3 + 54. 20 ÷ 4 + 6

10

289

11

Course 1

1-4 Order of Operations

Problem of the Day

0 1 2 3 4 5 6 7 8 9 = 1Put the appropriate plus or minus signs between the numbers so that the total equals 1.

0 + 1 – 23 + 45 + 67 – 89 = 1

Course 1

1-4 Order of Operations

Learn to use the order of operations.

Course 1

1-4 Order of Operations

Vocabulary

numerical expressionsevaluateorder of operations

Course 1

1-4 Order of Operations

A numerical expression is a mathematical phrase that includes only numbers and operation symbols.

Numerical Expressions

4 + 8 ÷ 2 6

371 – 203 + 2 5,006 19

When you evaluate a numerical expression, you find its value.

Course 1

1-4 Order of Operations

When an expression has more than one operation, you must know which operation to do first. To make sure that everyone gets the same answer, we use the order of operations.

ORDER OF OPERATIONS1. Perform operations in parentheses.2. Find the values of numbers with exponents.3. Multiply or divide from left to right as ordered in the problem.4. Add or subtract from left to right as ordered in the problem.

Course 1

1-4 Order of Operations

Order of Operations (Hop Scotch)

Parenthesis( )

Exponents

Mulitplication•

Addition+

Subtraction-

Whichever comes first when you read left to right

Whichever comes first when you read left to right

Course 1

1-4 Order of Operations

Additional Example 1A: Using the Order of Operations

Evaluate the expression.

There are no parentheses or exponents.

15 – 5 Divide.

10 Subtract.

15 – 10 ÷ 2

15 – 10 ÷ 2

Course 1

1-4 Order of Operations

Additional Example 1B: Using the Order of Operations

Evaluate the expression.

9 + (21 ÷ 7) 5

9 + (21 ÷ 7) 5

Perform operations within parentheses.

Multiply.

9 + 3 5

9 + 15

Add. 24

Course 1

1-4 Order of Operations

Check It Out: Example 1A

Evaluate the expression.

There are no parentheses or exponents.

12 – 3 Divide.

9 Subtract.

12 – 6 ÷ 2

12 – 6 ÷ 2

Course 1

1-4 Order of Operations

Check It Out: Example 1B

Evaluate the expression.

7 + (24 ÷ 6) 3

7 + (24 ÷ 6) 3

Perform operations within parentheses.

Multiply.

7 + 4 3

7 + 12

Add. 19

Course 1

1-4 Order of Operations

Additional Example 2A: Using the Order of Operations with Exponents

Evaluate the expression.

24 + 6 4

There are no parentheses.

Multiply.

16 + 6 4

16 + 24

Add. 40

2 + 6 4 4

Find the value of the number with the exponent.

Course 1

1-4 Order of Operations

Check It Out: Example 2A

Evaluate the expression.

42 + 3 7

There are no parentheses.

Multiply.

16 + 3 7

16 + 21

Add. 37

42 + 3 7

Find the value of the number with the exponent.

Course 1

1-4 Order of Operations

Lesson Quiz

Evaluate each expression.1. 15 + 4 2

2. (12 – 5)2 – 10

3. 3 + 9 2 – 5

4. 43 – 30 ÷ 2

39

23

16

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