1. When ever, you see a whole number with a small number written on the top right corner. That number is called a exponent.

2.To solve an exponent, you need to multiply the whole number by how many times the exponent calls for.

3. A square root, is a number that is raised to the 2nd exponent

EX: 8*8=64 So, the square root of 64 is 8.

Adding Fractions (with unlike denominators)

Ex: 5/9+1/3= 8/9

1) find the L.C.M for both fraction's denominator.(L.C.M= Least Common Multiple)

2) Now you can add the unlike denominators because the fractions have the same denominator.

3) The next part is simple, add the numerators but the denominator stays the same.

4) When you find the answer, be sure to simplify.

Multiplying Fractions

1. First, what you want to do is to simplify by canceling.

2.to cancel, look at the number that are diaganole and see if any number can fit purfectly

3. then you multiply across normally.

4. if you can't, then simplify multiply normal and simplify after

converting fractions to decimals to percents

1. Turning a fraction into a decimal. EX:)

3/4, .?, ?%

2.You would divide the numerator by the denominator.

EX:) 4 / 3

3. Before, you start dividing the numerator and the denominator, add a decimal and a zero after the 3.

4. To convert a fraction into a percent, divide the denominator (4) by 100.

5. Then, multiply the numerator by the added decimal point

Ex: 10/3=

1) how many times can 3 go into 10. (10/3) (how many times does the denominator go into the numerator.)

2)once done dividing 3/10, if ther is a remainder. Then, the remainder becomes the numerator and the denominator stays the same.

3) Then, the quotient becomes the whole number becomes the quotient.

Graphing 4 quadrants

1. First, look across (X) because its the first.

**Ethan and Idris' Recipe Book**

Warnings

1) Be sure to simplify your answer if the question asks you to.

2) Always double check.

Improper Fractions to Mixed Numbers

Warnings

1.remember to simplify the answer if the problem calls for it.

Ex: 4/5*3/12= 12/60 or 1/5

Warnings

1. make sure you can simplify

2. always double check

Warnings:

1. Be sure to write the quotieafter the added decimal when dividing.

2. Always remember to divide by 100 when converting fractions to percents

5

3

= 5x5x5=125

Warnings:

1. Do not confuse yourself with common multiple cation with exponents

2 Also, remember that the term powers also means exponents.

Extra Credit: Prime factorization

4= 2*2

6=2*3

8=2*2*2

1. If a word problem tells you to find the prime factorization, they want you to find what prime numbers multiplied together to equal the product.

2. For example: 4=2*2

3.Also, another way to find the prime factorization is braking down a number into several prime numbers.

_ _

Warnings:

1. A prime number is a number that can't be broken down any further.

2. You can use as many prime numbers you can think of.

1. When a number is divisible by another number, then it is also divisible by each of the factors of that number

Ex:

Extra Credit: divisibility Tests

we are not alone in the universe

2*3

________

Factor

________

factors

2. If the last digit is even you can divide by 2

Ex: 128 is divisible by 2

_

3.

If the sum of the digits is divisible by 3

Ex:381= 3+8+1

_____

12

12 is divisible by 3

Divisibility Tests Part 2

4. The last 2 digits are divisible by 4

Ex: 1,936 is divisible by 4 because 36 is divisible by 4

5. If the last digit is 5 or 0 the number is divisible by 5.

Ex:175 or 900 is divisible by 5

Warnings:

1. slow down, check and see if the number has multiple divisibility numbers.

2. There are many other divisibility tests but, these are the 5 moist known and common.

Ex:

Ex:

Ex:

Wait Why are ninjas in the slide?

Extra Credit: Surface Area

__________

____________

__

__

__

__

Y

X

__

__

__

__

Y

__ __

X

__

2 Then, look at the veaticle line (Y)

3. Finally, writing a corrdinate that looks like this

Ex: (3,4)

X

Y

Warnings :

1. Don't do Y first and X second.

2. Don't confuse yourself with ratios and coordinates

Ex:

_____

3

______

9

_____

4

1. to find the surface area of a rectangle, pick one of the three numbers shown and multiply it. Then multiply the other two numbers.

2. Ex: 3*9= 27*2=54

3*4= 12*2=24

+

____

Then, multiple the remianding numbers and add your products up.

4*9= 36*2=72

150

Warnings:

1. Remember to write the unit

2.this method does not require subtracting or Dividing

Area of squares, rectangles, and triangles

Ex:

________

___

________

___

A= 12

___

___

___

___

4

3

A=4

2

2

____

____

____

1. To find the area of a rectangle is to multiply length (x) width. in this case, it would be 3*4=12

2. To find the area of a square, you would do the same thing, length (x) width.

3.to find the area of a triangle, you would have to multiply base (x) height. In this case, it would be 2*5=10

4. Then, divide the product by 2.

2

5

______

5

Warnings:

1. Don't over complicate the multiple cation.

2. Note that a square has all equal sides so the number you get for one side will be the number for all the sides.

Volume of a Rectangular Prism

____

8

____

10

_____

2

1. To find the volume of a rectangular prism, is to solve length (x) width (x) height= Volume

2. In this case, the problem would look like this.

Ex: ( 2*10*8=160cm3)

Ex:

Warnings:

1. Do not add anymore numbers to the other sides of the rectangle

2. Be sure to double check your multiplying because you are dealing with 3 numbers.

Unit Rates

Ex: There are 6 kids and 30 dollars

1. You would split the money equally among the children

Ex:

( 30

_

:

6

=5 )

2 then, multiple your product by three to find the unit rate.

3. Then, you put the unit rate into a sentence.

Ex: For every kid, they receive 5 dollars

Warnings:

1. Don't mix up the numbers

2. Make sure your unit rate sentence makes sense

**Subtracting Decimals**

**9.31**

**Ex:**

**3.46**

**__**

**_______**

**1. Subtract normally**

**5.58**

**2. Borrowing is the same as well.**

**3. When done subtracting, add a decimal point by counting the place values on one of the 2 numbers that have been subtracted.**

Warnings:

1. Remember to always add the decimal point after substracting.

2. Count the place values correctly when adding a decimal point.

Dividing Fractions

1

1/3

__

__

__

3

3

3

Warnings:

1.This is very easy to mess up so not get confused with the multiple cation in this method.

2. Do not over think the division.