1-4
DESCRIPTION
1-4. Order of Operations. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Warm Up Perform the operations in order from left to right. 1. 8 + 4 – 2 2. 9 3 + 1 3. 7 – 3 + 5 4. 20 ÷ 4 + 6. 10. 28. 9. 11. Problem of the Day 0 1 2 3 4 5 6 7 8 9 = 1 - PowerPoint PPT PresentationTRANSCRIPT
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
The first letters of these words can help you remember the order of operations.
Please Parentheses
Excuse Exponents
My Multiply
Dear Divide
Aunt Add
Sally Subtract
Helpful Hint
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
Additional Example 2B: Using the Order of Operations with Exponents
Evaluate the expression.
24 ÷ (9 – 6) 32 – 10
Perform operations within parentheses.
Multiply.
8 9 – 10
72 – 10
Divide.
62
Find the value of the number with the exponent.
24 ÷ (9 – 6) 32 – 10
24 ÷ 3 32 – 10
24 ÷ 3 9 – 10
Subtract.
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
Check It Out: Example 2B
Evaluate the expression.
32 ÷ (8 – 4) 22 – 12
Perform operations within parentheses.
Multiply.
8 4 – 12
32 – 12
Divide.
20
Find the value of the number with the exponent.
32 ÷ (8 – 4) 22 – 12
32 ÷ 4 22 – 12
32 ÷ 4 4 – 12
Subtract.
Course 1
1-4 Order of Operations
Additional Example 3: Consumer Application
Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Evaluate the following expression to find the amount Mr. Kellett spent on CDs.
6 4 + 5 3
24 + 15
39
Mr. Kellett spent $39 on CDs.
Course 1
1-4 Order of Operations
Check It Out: Example 3
Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Evaluate the following expression to find the amount Ms. Nivia spent on CDs.
4 8 + 6 4
32 + 24
56
Ms. Nivia spent $56 on CDs.
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
5. Chaz bought 4 football cards for $2 each and 8 baseball cards for $3 each. Evaluate the expression to find the amount Chaz spent on cards: 4 2 + 8 3.
39
23
16
49
$32