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. Order of Operations. 4 3. +. ( ). -. X. You rent a guitar for $25 and then you take 5 guitar lessons that are $10 each. What is your total cost?. Answer: 25+5(10) $75. The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.
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Order of Operations 43 + ( ) - X
You rent a guitar for $25 and then you take 5 guitar lessons that are $10 each. What is your total cost? • Answer: • 25+5(10) • $75
The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.
Please Excuse My Dear Aunt Sally This will help you remember the order of operations.
Please Excuse My Dear Aunt Sally P Parentheses ( ) E Exponents 43 M D Multiply x Divide A S Add + Subtract -
Please Excuse My Dear Aunt Sally Parentheses ( ) Always do parentheses 1st.
Please Excuse My Dear Aunt Sally Exponents 43 Always do Exponents 2nd.
Please Excuse My Dear Aunt Sally Multiply x Divide Do multiplication and division 3rd, from left to right.
Please Excuse My Dear Aunt Sally Add + Subtract - Do addition and subtraction 4th, from left to right.
Location of Exponent • An exponent is a little number high and to the right of a base number. Exponent 3 4 Base
What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3
How to read an Exponent • This exponent is read three to the 2nd power or three squared. Exponent 3 2 Base
How to read an Exponent • This exponent is read three to the 3rd power or three cubed. Exponent 3 3 Base
Read These Exponents 7 9 2 5 4 6 2 3
What is the Exponent? 3 2 ×2 × 2 = 2
What is the Exponent? 4 5 × 5 × 5 × 5 = 5
How to Multiply Out an Exponent 4 3 = 3 × 3 × 3 × 3 9 27 81
You Try: 3 5 125 =
Fraction Bars This problem includes a fraction bar which means we must divide the numerator by the denominator. However, we must first perform all calculations above and below the fraction bar BEFORE dividing.
PEMDAS 2
Let’s Try Some Order of Operations Problems!
4+5 x (6-2) PEMDAS 4+5 x 4 4+20 24
PEMDAS 64 (9 x 3-19) 64(27 –19) 64 8 8
3 (9+1) + 62 PEMDAS 3(10)+62 3(10)+36 30+36 66
3+23- (9+1) PEMDAS 3+23-10 3+8-10 11-10 1
PEMDAS -31
4+ 10 x 23 -16 PEMDAS 4+10 x 8 -16 4+ 80-16 84-16 68
21 + 102 10 PEMDAS 21+10010 21 + 10 31
10+72-2 x 5 PEMDAS 10+49–2 x 5 10+49-10 59 - 10 49