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33 Cards in this Set

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INTEGER
An integer is a number that does not contain a decimal or a fraction.
For example, 4, -23 and 1,569 are all integers. , 3.5 and 66.667 are not.
POSITIVE
Positive numbers are numbers greater than zero.

12, 1.8 and are all positive numbers, but of those, only 12 is a positive integer.
NEGATIVE
Negative numbers are numbers less than zero.

For example, -5, -1.3 and -84 are all negative numbers, but only -5 and
-84 are negative integers
even
Even numbers are integers that are divisible by 2.

For example, 2, -68 and 516 are all even.
ODD
Odd numbers are integers that are not evenly divisible by 2.

Examples of odd numbers include, 5, -13 and 9,871.
CONSECUTIVE
Consecutive numbers are numbers that progress in order at the same interval.

For example, 2, 3, 4 and 5 are consecutive positive integers. -6, -4 and -2 are consecutive negative even integers.
PEMDAS
PEMDAS. What's this?
Well, the order of operations is the order in which you do the math in an equation.
First, you do anything within parentheses.
Next, you calculate any exponents.
Then you do the multiplication and division (working from left to right).
And finally, you do any addition and subtraction (again, working from left to right).

If you have trouble remembering it, try using this mnemonic: Please Excuse My Dear Aunt Sally. You might remember this from grade school.
PEMDAS
PARENTHESIS FIRST
EXPONENTS
MULTIPLICATION AND DIVISION FROM LEFT TO RIGHT
ADDITON AND SUBTRACTION FROM LEFT TO RIGHT
REMAINDER
The remainder is what is left over after division.

For example, 5 divided by 3 leaves you with a remainder of 2 (3 divides evenly into 5 once, with 2 left over).

If a number divides evenly into another number, you have a remainder of zero.

For example, 100 divided by 20 is 5 with a remainder of 0. 100 divided by 3 is 33 with a remainder of 1
DIVISIBILITY
A number is divisible by another number if the second number divides into it evenly (leaving no remainder).
Any even number is divisible by 2. 15 is divisible by 3, but it is not divisible by 10.
RULES OF ZERO
Zero is a funky number with some pretty funky properties. Here are some helpful rules to remember about zero:
Zero times any number equals zero.
Zero is an even integer.
Zero is neither positive nor negative.
Zero divided by any number is zero.
Any number raised to the zero power is equal to 1.
SUM & DIFFERENCE
You calculate a sum by adding.

For example, the sum of 2 and 8 is 10.

The difference is the result of subtraction.

For example, the difference between 96 and 4 is 92.
PRODUCT AND QUOTIENT
You calculate a product by multiplying.

For example, the product of 3 and 6 is 18.

The quotient is the result of division.

For example, if you divide 60 by 12, the quotient is 5
FACTOR
A factor is a whole number that divides evenly into another whole number. A factor can also be called a divisor.

The positive factors of 8 are 1, 2, 4 and 8. The positive factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.

Factoid: Every number is a factor of itself.
MULTIPLE
A multiple is the product of the original whole number and any other whole number.

The first 4 positive multiples of 8 are 8, 16, 24 and 32. The first positive multiple of any number is itself.

If you have trouble keeping factors and multiples straight in your mind, remember this: factors are few, while multiples are many.

Factoid: Every number is a multiple of itself.
PRIME
A prime number is any positive integer that has ONLY two distinct factors. In other words, it is divisible ONLY by 1 and itself.

For example, 2, 3, 5, 7, 11, 13 and 17 are all prime numbers. 8 and 12 are not.

Factoids: 1 is not a prime number (it has only one factor, 1).
2 is the only even prime number (it has only two factors, 1 and 2)
DIGITS
There are 10 digits. They are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Test-writers will ask you to count the digits in a number.

1,234 is a 4-digit number.
DISTINCT
Distinct just means different.

678 is a 3-digit number with 3 distinct digits. 999 is also a 3-digit number, but it only contains 1 distinct digit.
ABSOLUTE VALUE
The absolute value of a number is its distance from zero on the number line.

Therefore, the absolute value of 2 is 2, and the absolute value of -2 is also 2.

Absolute value is represented like this:
VARIABLES
Variables are just letters that are used to stand in for an unknown number.

The most commonly used variables are x and y, but any letter will do
DIVISIBILITY RULE
MULTIPLICAITON
Multiplication
Even X Even = Even
Odd X Odd = Odd
Even X Odd = Even
ADDITION
Even + Even = Even
Odd + Odd = Even
Even + Odd = Odd
POSITIVE AND NEGATIVE NUMBERS
Multiplication
Positive Positive = Positive
Negative Negative = Positive
Negative Positive = Negative
RULES OF DIVISIBILITY
2: Any even number is divisible by 2.
3: Add up all the digits in the number, and if the sum is divisible by 3, the number itself is divisible by 3.
4: Take the last 2 digits of the number, and if together as a 2-digit number they are divisible by 4, the number itself is divisible by 4.
5: Any number that ends in a 5 or a 0 is divisible by 5.
6: A number is divisible by 6 if it follows the rules for both 2 and 3.
8: Look at the last 3 digits of any number, if that 3-digit number is divisible by 8, the whole number is divisible by 8.
9: Add up the digits, and if their sum is divisible by 9, the number itself is divisible by 9.
10: Any number ending is 0 is divisible by 10.
FRACTIONS
• To add or subtract fractions, you must find a common denominator for all the fractions before adding the numerators together. The denominator stays constant.
• To multiply fractions, simply multiply your numerators together and your denominators together.
• To divide fractions, simply flip the second fraction and multiply them together
ules for adding, subtracting, multiplying and dividing decimals
• When adding decimals, just line up the decimal places and add.
• When subtracting decimals, just line up the decimal places and subtract.
• When multiplying decimals, ignore the decimal points and simply multiply the numbers as if they were integers.
Then add the number of decimal places in each of the original decimals.
Take your product from step 1 and place the decimal the same number of digits to the left.
• When dividing decimals, change your divisor into a whole number. To do this, move the decimal in both your numerator and your denominator the same number of places to the right. (In essence, you are multiplying both numbers by 10, 100, 1000, etc.)
EXPONENTS
PROPERTY OF 10
POWER OF 10 CAN BE WRITTEN WITH A ONE FOLLOWED BY THE N UMBER OF 0'S IN EXPONENT
ANY NUMBER TO POWER OF ZERO IS
ONE
ANY BASE TO POWER OF ONE IS
THE BASE NUMBER
PRIME NUMBERS
NUMBERS GREATER THAN ONE AND HAVE ONLY TWO FACTORS
WHAT ARE THE ONLY TWO FACTORS OF A NUMBER
THE NUMBER ITSELF AND THE NUMBER ONE

2,3,5,7,11,13
COMPOSITE NUMBERS
NUMBERS THAT ARE GREATER THAN ONE AND MORE THAN TWO FACTORS

4,6,8,9,10
GCF
GREATEST COMMON FACTOR
GCF OF A SET OF NUMBERS IS THE LARGEST # THAT DIVIDES ALL THE NUMBERS IN THE SET