Math ReviewMath ReviewMath ReviewMath ReviewMrs. Bonifay’sMrs. Bonifay’sAlgebra I ClassAlgebra I Class

Types of Numbers• Natural Numbers: Also known as counting numbers (1, 2, 3, 4, 5, 6…………)• Whole Numbers: Natural numbers plus 0 (0, 1, 2, 3, 4, 5, 6…………)

More Types of Numbers• Positive Numbers: All numbers greater than zero• Negative Numbers: All numbers less than zero (Zero is neither positive nor negative!)

And More Types of Numbers!

• Integers: Whole numbers and their opposites example: -1 and 1 are opposites• Rational Numbers: Numbers which can be

represented as a fraction of two integers

A Little More Even and Odd

• All even numbers are divisible by 2.• All odd numbers are NOT divisible by 2.• Remember: Zero is neither positive nor negative!

Absolute Value• Absolute value is a number’s

distance from zero. • Absolute values are always, always,

always positive EXCEPT for the absolute value of zero which is zero!

• Example: [-1] = 1 [1] = 1 [0] = 0

Add or Subtract• When you want to find the SUM of

two or more numbers, you: ADD (+)• When you want to find the

DIFFERENCE of two or more numbers, you:

SUBTRACT (-)

Multiply or Divide• When you want to find the product

of two or more numbers, you: MULTIPLY (x)• When you want to find the quotient

of two or more numbers, you: DIVIDE (/)

Place Values• The place in a multi-digit number a

single digit holds. EXAMPLE: In the number 123

(“one-hundred twenty-three”), “3” is in the ones place, “2” is in the tens place, and “1” is in the hundreds place.

FRACTIONS• A FRACTION is a part

of a whole. EXAMPLE: If I have a

pizza with six slices, one slice of pizza will be 1/6 or one piece out of six pieces.

More FractionsIn the fraction 1/6, “1” is called the

numerator, and “6” is called the denominator.

numerator denominator

Even More FractionsREMEMBER: When the numerator

and the denominator are the same number, the fraction is equal to “1”

Example: Numerator is 7 = 1 Denominator is 7

Adding FractionsWhen adding fractions with like

denominators, simply add the numerators.

Example: 1 + 3 = 4 5 5 5

1 + 3 = 4 5 5

Subtracting FractionsAs with addition, when subtracting fractions with

like denominators, simply subtract the numerators.

Example: 4 - 3 = 1 5 5 5

4 - 3 = 1 5 5

Multiplying FractionsWhen multiplying fractions, multiply the

numerators AND multiply the denominators.

Example: 2 x 3 = 6 3 5 15

2 x 3 = 6 3 x 5 = 15

Dividing FractionsWhen dividing fractions, “flip” the

second fraction in the equation and then multiply.

Example: 2 / 3 = 2 x 5 = 10

3 5 3 3 9

Greater Than, Less Than, and Equal To

• “Greater than” (>) is when the first number listed is more than the second number listed.

Example: 56 > 45• “Less than” (<) is when the first number is

less than the second number. Example: 45 < 56• “Equal to” (=) is when the first and second

number are the same value. Example: 45 = 45 or 1 = 6 6

Exponents

2

4This would be read “four to the second power.”

It would be the same at “4 x 4” which is 16“4” is the BASE and “2” is the EXPONENT

“16” is the power.