Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Vocabulary The Number System
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evaluate
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find the value using order of operations sometimes you
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simplify
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put answer in easiest form to understand, final form |
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absolute value
the distance from zero on a number line
You count spaces so it will always be positive!
You count spaces so it will always be positive!
additive inverse
the opposite of a number
the sum of an integer and its additive inverse is zero
the sum of an integer and its additive inverse is zero
associative property of addition and multiplication
changing the grouping of the addends or factors does not change the sum or product
communitive property of addition and multiplication
changing the order of addends or factors does not change the sum or product
coordinate plane
formed by the intersection of a horizontal number line and a vertical number line
the x and y axis
the x and y axis
distributive property
To multiply a sum or difference by a number, multiply each number in the sum or difference by the number outside the parentheses. Evaluate.
exponents
tells how many times the base is repeated using multiplication
inequalities
not equal
integers
set of whole numbers, their opposites and zero
opposite quantities
they combine to make 0
they are the same distance from zero on the number line
they are the same distance from zero on the number line
order of operations
solving mathematical problems must follow the same order of operations each time they are solved
Parenthesis
Exponent
Multiplication OR Division from left to right
Addition OR Subtraction from left to right
Parenthesis
Exponent
Multiplication OR Division from left to right
Addition OR Subtraction from left to right
origin
the center is the origin (0,0)
The point represented by the ordered pair (0,0)
the x and y axis meet in the middle of the coordinate plane
the x and y axis meet in the middle of the coordinate plane
quadrant
the four regions created by the intersection of the x-axis and the y-axis in a coordinate plane
range
the difference between the lowest and highest values in a set of numbers
subtract to find the difference
subtract to find the difference
rational numbers
a number that can be written as the ratio of two integers, a / b, where a and b are integers and b is not 0
reciprocals
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2 numbers whose product is one,
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scientific notation
a way of writing a number as a product of a power of 10 and a number that is at least 1 and less than 10. Allows you to write large or small numbers with on a few symbols