1-4 order of operations warm up warm up lesson presentation lesson presentation problem of the day...
TRANSCRIPT
1-4 Order of Operations
Warm Up
Lesson Presentation
Problem of the Day
Lesson Quizzes
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
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
1-4 Order of Operations
Learn to use the order of operations.
1-4 Order of Operations
Vocabulary
numerical expressionssimplifyorder of operations
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 simplify a numerical expression, you find its value.
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.
1-4 Order of Operations
The first letters of these words can help you remember the order of operations.Please ParenthesesExcuse ExponentsMy Multiply/Dear DivideAunt Add/Sally Subtract
Helpful Hint
1-4 Order of Operations
Additional Example 1A: Using the Order of Operations
Simplify the expression.
There are no parentheses or exponents.
15 – 5 Divide.
10 Subtract.
15 – 10 ÷ 2
15 – 10 ÷ 2
1-4 Order of Operations
Additional Example 1B: Using the Order of Operations
Simplify the expression.
9 + (21 ÷ 7) 5
9 + (21 ÷ 7) 5
Perform operations within parentheses.
Multiply.
9 + 3 5
9 + 15
Add. 24
1-4 Order of Operations
Check It Out: Example 1A
Simplify the expression.
There are no parentheses or exponents.
12 – 3 Divide.
9 Subtract.
12 – 6 ÷ 2
12 – 6 ÷ 2
1-4 Order of Operations
Check It Out: Example 1B
Simplify the expression.
7 + (24 ÷ 6) 3
7 + (24 ÷ 6) 3
Perform operations within parentheses.
Multiply.
7 + 4 3
7 + 12
Add. 19
1-4 Order of Operations
Additional Example 2A: Using the Order of Operations with Exponents
Simplify 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 numbers with exponents.
1-4 Order of Operations
Additional Example 2B: Using the Order of Operations with Exponents
Simplify the expression.
24 ÷ (9 – 6) 32 – 10
Perform operations within parentheses.
Multiply.
8 9 – 10
72 – 10
Divide.
62
Find the value of numbers with exponents.
24 ÷ (9 – 6) 32 – 10
24 ÷ 3 32 – 10
24 ÷ 3 9 – 10
Subtract.
1-4 Order of Operations
Check It Out: Example 2A
Simplify 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.
1-4 Order of Operations
Check It Out: Example 2B
Simplify the expression.
32 ÷ (8 – 4) 22 – 12
Perform operations within parentheses.
Multiply.
8 4 – 12
32 – 12
Divide.
20
Find the values of numbers with exponents.
32 ÷ (8 – 4) 22 – 12
32 ÷ 4 22 – 12
32 ÷ 4 4 – 12
Subtract.
1-4 Order of Operations
Additional Example 3: Consumer Application
24 + 15
39
Mr. Kellett spent $39 on CDs.
Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Simplify the following expression to find the amount Mr. Kellett spent on CDs.
6 4 + 5 3
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. Simplify the following expression to find the amount Ms. Nivia spent on CDs.
4 8 + 6 432 + 24
56
Ms. Nivia spent $56 on CDs.
1-4 Order of Operations
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
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. Simplify the expression to find the amount Chaz spent on cards: 4 2 + 8 3.
39
23
16
49
$32
1-4 Order of Operations
1. Simplify the expression.
17 + 6 3
A. 26
B. 35
C. 42
D. 69
Lesson Quiz for Student Response Systems
1-4 Order of Operations
2. Simplify the expression.
(14 – 6)2 – 12
A. 52
B. 58
C. 62
D. 64
Lesson Quiz for Student Response Systems
1-4 Order of Operations
3. Simplify the expression.
4 + 8 3 – 7
A. 11
B. 19
C. 21
D. 29
Lesson Quiz for Student Response Systems
1-4 Order of Operations
4. Simplify the expression.
53 – 93 3
A. 94
B. 84
C. 74
D. 64
Lesson Quiz for Student Response Systems
1-4 Order of Operations
5. Philip bought 5 papayas for $2 each and 7 pineapples for $3 each. Simplify the expression to find the amount Philip spent on fruits: 5 2 + 7 3.
A. $12
B. $15
C. $31
D. $35
Lesson Quiz for Student Response Systems