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. Order of Operations. 4 3. +. ( ). -. X. The Order of Operations tells us how to do a math problem with more than one operation, in the correct order. Parentheses ( ) . first. Then. Exponents 4 3. Next. Multiply x Divide from left to right. Last.
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Order of Operations 43 + ( ) - X
The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.
Parentheses ( ) first Then Exponents 43 Next Multiply x Divide from left to right Last Add + Subtract - from left to right
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
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.
PRactice 2
Let’s Try Some Order of Operations Problems!
4+5 x (6-2) Practice 4+5 x 4 4+20 24
Practice 64 (9 x 3-19) 64(27 –19) 64 8 8
3 (9+1) + 62 Practice 3(10)+62 3(10)+36 30+36 66
3+23- (9+1) Practice 3+23-10 3+8-10 11-10 1
Practice -31
4+ 10 x 23 -16 Practice 4+10 x 8 -16 4+ 80-16 84-16 68
21 + 102 10 Practice 21+10010 21 + 10 31
10+72-2 x 5 Practice 10+49–2 x 5 10+49-10 59 - 10 49