Section 1
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Distributive Property
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Last updated
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Date created
Mar 1, 2020
Cards (56)
Section 1
(50 cards)
Distributive Property
a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac
Zero divided by a number
When zero is divided by a number the answer is zero. 0/a = 0 "a" does not equal 0
Integer Rule for Subtracting Real Numbers
subtract a number, add its opposite - then follow the rules for adding signed numbers
base
is the number that is used as a factor
evaluate
To find the value of a numerical or algebraic expression
Opposites
two numbers that have the same absolute value but have different signs
algebraic expression
A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
reciprocal
Two numbers that have a product of 1. (flip the fraction)
Inverse Property of Addition
the sum of a number and its opposite is 0
absolute value
The distance a number is from zero on a number line (IT IS ALWAYS POSITIVE)
Integer Rule for multiplying and dividing numbers with same sign
their product or quotient is positive
Integer Rule for multiplying and dividing numbers with different signs
their product or quotient is negative
Identity Property of Multiplication
If you MULTIPLY A NUMBER BY ONE, the product is the SAME AS THAT NUMBER.
Inverse Property of Multiplication
if you multiply a number by its reciprocal, the product is 1.
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself.
whole numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Matrices
a rectangular array of data (arrangement of numbers) in rows and columns
Transitive Property
If a=b and b=c, then a=c
Commutative Property of Addition
Changing the order of the addends does not change the sum. a+b=b+a
perfect square
A square of a whole number Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
irrational numbers
Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Integer rule for Adding Real Numbers with Different Signs
find the difference of their absolute values and use the sign of the number with the greater absolute value
square root
one of two equal factors of a number
Integers
whole numbers and their opposites (positive and negative) Includes 0.
Division by zero
is undefined
Power
is an expression written with an exponent and a base
closed set
A way to describe a set of numbers if applying an operation to any two numbers in the set produces a number in the set
constant
A term without a variable
numerical expression
A mathematical phrase involving numbers and operation symbols, but no variables.
multiplication by zero
the product of any number and 0 is 0 a*0 = 0
Coefficient
A number multiplied by a variable in an algebraic expression.
like terms
terms with exactly the same variable factors in a variable expression
rational numbers
Any number that can be expressed as a fraction (terminating or repeating decimal)
Natural Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbers.
terminating decimal
A decimal number that ends or terminates
Symmetric Property
If a = b, then b = a
repeating decimal
A decimal that repeats a digit or group of digits forever.
Multiplicative Inverse
A number times its multiplicative inverse is equal to 1; also called reciprocal
Associative Property of Multiplication
Changing the grouping of three or more factors does not change the product. (ab)c=a(bc)
Additive Inverse
a number and its opposite
Variable
a letter or symbol used to represent a value that can change
real numbers
all numbers that can be represented on the number line
Associative Property of Addition
Changing the grouping of three or more addends does not change the sum. (a+b)=c=a+(b+c)
Identity Property of Addition
If you ADD ZERO TO A NUMBER, the sum is the SAME AS THAT NUMBER.
Integer rule for Adding real numbers with Same Sign
add their absolute values and use the sign of the numbers
term
the parts to be added or subtracted in an expression
mathematical operations
addition, subtraction, multiplication, division
Commutative Property of Multiplication
Changing the order of the factors does not change the product. ab=ba
Order of Operations (PEMDAS)
the sequence in which operations are performed when evaluating an expression: Parenthesis (inner parenthesis first), Exponents, Multiplication and Division (left to right), Addition and Subtraction.
Section 2
(6 cards)