Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
37 Cards in this Set
- Front
- Back
- 3rd side (hint)
|
Identity property for addition and subtraction |
Zero added to any number is that number itself. |
|
|
|
Identity Property for Multiplication |
The identity property for multiplication and division is 1 |
|
|
|
Definition of integer |
Positive and negative whole numbers |
|
|
|
Absolute value |
The distance a number is from zero 9th the numberline. |
|
|
|
An absolute value is never what |
Negative. |
|
|
|
Adding integers |
Same sign add and keep the sign. |
Add the absolute values of the numbers and keep the same sign. |
|
|
Positive integer+positive integer equals a |
Positive integer |
|
|
|
Negative integer + a negative integer equals a |
Negative integer. |
|
|
|
Adding different sign integers |
Subtract and keep the sign of the bigger number |
|
|
|
In order to subtract integers YOU MUST CHANG THE SIGN. ADD THE OPPOSITES. |
Keep- the sign of the first number. Change-the subtraction sign to addition. Change the sign of the second number to the opposite sign |
|
|
|
Subtracting same sign integer |
Add absolute values and keep the sign. |
|
|
|
Multiplying integers with the same sign. |
Multiply the numbers. Answer will be positive. |
|
|
|
Multiplying negative signs |
Answer will be negative. |
|
|
|
Dividing integers with the same sign. |
The answer will be positive. Divide the numbers. |
|
|
|
Different signs division of integers |
Negative. Divide number. Answer will be negative. |
|
|
|
DENSITY PROPERTY FOR FRACTIONS |
Between any 2 fractions on a number line there is always a fraction between them. |
|
|
|
Closure property for integers |
Addition: a+b= an integer |
|
|
|
Commutative property of integer |
A+b=b+a |
|
|
|
Associative property |
The group I'm doesn't matter |
|
|
|
Identity property |
0 is the unique integer such that a+0=a for all A |
|
|
|
Additive Inverse |
For each integer a there is a unique integer written -a such that: a +(-a)=0. The integer -a is called the additive integer. |
|
|
|
Integer multiplication property Closure |
ab = an integer |
|
|
|
Commutative |
Ab=ba |
|
|
|
Associative Property |
(ab)=a (bc) |
|
|
|
Identity property |
1 is the unique integer such that a×1=a=1×a for all A |
|
|
|
Distributive property of multiplication over Addition of integers |
Let a b and c be ANY integers then a (b+c)=ab+ac |
|
|
|
Determine if a sum difference product or quotient is negative or positive for integer |
Dividing by 1: A+1=A. |
|
|
|
Dividing 2 positive or 2 negatives |
If a and b are both positives or both negatives then the answer is positive |
|
|
|
Dividing positive and negative |
If one of a or b is positive and the other is negative then a+b is negative |
|
|
|
Dividing 0 by a nonzero integer |
0+b=0. Where b doesn't equal 0. Since 0÷b=0 |
|
|
|
Dividing with zero |
Undefined |
|
|
|
Definition of negative exponenta |
Let a be any nonzero number and name be a positive integer then a with the negative exponent =1/a with the exponent of n |
|
|
|
Less then and greater then for integers using the number line |
The integer A is less than integer B written a <b if a is to the left of the integer number line then it is less than the numbers on the right of the number line |
|
|
|
Rational numbers |
Fractions and decimals |
|
|
|
Irrational numbers |
Terminating decimal numbers |
|
|
|
Whole number |
0 |
|
|
|
Natural number |
1 2 3 |
|
