Accelerated Math 7 Semester 1

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Terms in this set (...)

absolute value
The distance a number is from zero on a number line. ALWAYS POSITIVE
integers
All whole numbers (both positive and negative) and zero.
zero pairs
two numbers whose sum is zero; also called additive inverses
Identity Property of Addition
If you add zero to a number, the sum is the same as that number.
a+0=a, 0+a=a
Identity Property of Multiplication
If you add zero to a number, the sum is the same as that number.
Associative Property
Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication
Commutative Property
move numbers around and they mean the same thing *THINK COMMUTE = move
Distributive Property
a(b + c) = ab + ac
The distributive property comes into play when an expression involving addition is then multiplied by something. It tells us that we can add first and then multiply, or multiply first and then add. Either way, the multiplication is "distributed" over all the terms inside the parentheses.
Decimal addition/subtraction rule
line up the decimals
Decimal multiplication rule
multiply as normal, and then count decimal places in the factors to place the decimal in the product
Integer Addition Rule
same sign add and keep the sign; different signs subtract the absolute values of the integers and keep the sign of the greater absolute value (hint: make zero pairs)
Integer Subtraction Rule
Add the opposite: keep the first integer, change the operation sign to addition and change the sign of the second integer, then follow the addition rules
Integer Rule for Multiplication and Division
-same sign positive answer
-different signs negative answer
Percent
A ratio that compares a number to 100
Ratio
a comparison of two quantities by division
Proportion
An equation stating that two ratios are equal
Percent of a number
write the percent as a fraction and then multiply or write the percent as a decimal and then multiply
Percent of change
the percent a quantity increases or decreases from its original amount
expression
A mathematical phrase that contains operations, numbers, and/or variables.
equation
A mathematical sentence that contains an equals sign.
simple interest
interest paid on the principal alone
rate
A ratio that compares two quantities measured in different units
unit rate
comparison of two values, where one value (usually the numerator) is 1
rational number
A number that can be written as a fraction
repeating decimal
A decimal that repeats a digit or group of digits forever.
terminating decimal
A decimal number that ends or terminates
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself.
monomial
Number, variable, or the product of numbers and variables
decimal
A number less than a whole number
reciprocal
(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2
division property of equality
Dividing the same number to each side of the equation produce an equivalent equation
multiplication property of equality
Multiplying the same number to each side of the equation produce an equivalent equation
coefficient
A number multiplied by a variable.
terms
numbers and variables that make up expressions and equations
addition property of equality
If you add the same numbers to each side of an equation, both sides are still equal
subtraction property of equality
Subtracting the same number to each side of the equation produces an equivalent equation
obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees
acute angle
an angle that measures less than 90 degrees
right angle
an angle that measures exactly 90 degrees
straight angle
an angle that measures exactly 180 degrees
adjacent angles
Angles that have a common side and a common vertex (corner point).
vertical angles
Angles that are across from one another. EQUAL (congruent) to one another.
complementary angles
Two angles whose sum is 90 degrees
supplementary angles
Two angles whose sum is 180 degrees
congruent
Having the same size and shape