PEMDAS

P stands for

Parenthesis

(1st solve within the parenthesis)

PEMDAS

E stands for....

Exponents

(2nd solve each exponent [example: 3²])

PEMDAS

M & D stand for....

M

Multiply

D

Divide

(You can solve this by going left to right, and whichever comes first × or ÷)

PEMDAS

A & S stand for....

A

Addition

S

Subtraction

(Addition and subtraction are solved left to right in either order + or -)

Integer Rule

Subtraction

Keep - Change - Change

When subtracting two integers

Keep (the sign of the first number)

Change the function to the opposite + or -

Change the sign of the second number

Example- -4 - 7=

KCC= -4 + (-7) =

Integer Rule

Subraction

(Keep change change)

Always keep the sign of the bigger number

Negative - Positive = Negative: (- 5) - 3 = -5 + (-3) = -8
Positive - Negative = Positive + Positive = Positive: 5 - (-3) = 5 + 3 = 8
Negative - Negative = Negative + Positive = Use the sign of the larger number and subtract (Change double negatives to a positive)
(-5) - (-3) = ( -5) + 3 = -2

Integer Rules

Addition

Positive + Positive = Positive: 5 + 4 = 9

Negative + Negative = Negative: (- 7) + (- 2) = - 9

Sum of a negative and a positive number: Use the sign of the larger number and subtract

Integer Rule

Multiplication

Positive x Positive = Positive: 3 x 2 = 6

Negative x Negative = Positive: (-2) x (-8) = 16

Negative x Positive = Negative: (-3) x 4 = -12

Positive x Negative = Negative: 3 x (-4) = -12

Integer Rule

Division

Positive ÷ Positive = Positive: 12 ÷ 3 = 4

Negative ÷ Negative = Positive: (-12) ÷ (-3) = 4

Negative ÷ Positive = Negative: (-12) ÷ 3 = -4

Positive ÷ Negative = Negative: 12 ÷ (-3) = -4

Number Line

Addition

When adding positive numbers, do you move left or right on the number line?

Right

[image]

Number Line

Subtraction

When adding or subtracting negative numbers, do you move left or right on the number line?

Left

[image]

Number Line

Positive numbers on a number line move to the ________.

Right

--------->

Number Line

Negatives numbers on a number line move to the ________.

Left

<------------

Decimal

When adding or subtracting decimals,

(a) line up the decimal points or (b) count space?

(a) line up the decimal points

    4.55

+ 3.2

Decimal

When multiplying decimals,

(a) line up the decimal points or (b) count space?

(b) count space

 [image]

(move decimal 3 spaces)

Decimals

When dividing....

Do you move the decimal on the outside?

[image]

Finally, add the 0 on the inside. (The process is the same for moving the decimal 2 or 3 spaces.)

Decimal to Percent

How do you turn a decimal to a percent?

.04 and .45

Move the decimal two spaces to the right.

------>

4. = 4%

45. = 45%

Percent to Decimal 

How do you turn a percent to a decimal?

6% and 7.5%

Move decimal two spaces to the left.

<-------

6% = .06

7.5% = .075

Number Line

Adding and Subtracting

 Name three steps to answer 4+(-5)=

[image]

4 + (-5) =

1. Find the first number. Draw a line from 0 to 4.

2. Find the second number. (negative move left, positive move right) Start second line at 4 and count left 5 space.

3. The second line stops at the answer- (-1).

Interest = Principal x Rate x Time

I = P x R x T

Label each part:

You put $1000 into an investment yielding 6% annual interest; you left the money in for two years. How much interest do you get at the end of those two years?

I = x

P = $1000

R = 6%

T = 2 years

Solve x= 1000 x .06 x 2

              1000 x .06 is 60 x 2 

         x= 120

Percent

How do you find the percent of a number?

What is 30% of 50?

Change the percent ot a decimal and multiply.

30% -Move decimal two places to the left

.30 x 50 = 1500

1500 move decimal two places to the left

.30 x 50 = 15

30% of 50 is 15

Tip:

When Solving for "x", remember to keep the balance.

This means.....

To keep the balance, what you do to one side of the "="
you should also do to the other side!

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