Order of Operations
What is the acronym for order of operations and what does each letter stand for?
PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
-24+56
32
-3*-14
42
34*37
311
Subtracting negative numbers rule: KCC
Keep the first number
Change the sign
Change the last number to its opposite
Evaluate when x=3 and y=5
y(6x-4y)
-10
Erin deposited $415 into her bank account. She withdrew $275. What was the change in her bank account balance?
$140
45/-9
-5
√121
(square root)
11 and -11
a) If the signs are the same, the answer will be...
b) If the signs are different, the answer will be...
a) Positive
b) Negative.
In this expression, what operation do you do first?
15÷3*8
Division
63-(-47)
110
-5*3*-1*2
30
345/342
27
For every root there are ____ answers, one ________ and one ________.
two; positive; negative
What are the PEMDAS steps, in order, for this expression?
3x+16*2-4
Multiply, add, subtract.
Joey played a game five times. Each time he lost 18 points. What was his total number of points?
90
x3/9y
x=3 and y=6
1/2
√(32 + 42)
(square root)
5
a) If the base is negative and in parenthesis all numbers are _________.
b) If the base is negative and NOT in parenthesis, only the first number is ________ and the rest are ______.
a) negative
b) negative; positive
Evaluate:
8(x²-4)+5y-xy
x=4, y=2
98
A dolphin began 156 feet below sea level. When he jumped, he peaked at 124 feet above sea level. What was the change in height in feet?
280
Ken lost 6 yards in 4 plays. What was his total yardage.
-24
3√-64
(square root)
-4
a) What do you do when two powers of the same base are multiplied?
b) What do you do when two powers of the same base are divided?
c) What do you do when a power is raised to a power?
a) Add the exponents
b) Subtract the exponents
c) Multiply the exponents