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The set of whole numbers and their opposites.
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.
the top part of a fraction
the bottom part of a fraction
rational numbers where the numerator is less than the denominator
a fraction whose numerator is larger than the denominator
fractions that have the same value
writing a fraction in lowest terms
a fraction that is in lowest terms
lowest common denominator (LCD)
the least common multiple of two denominators
a denominator that is the same in two or more fractions
the opposite of a number
The distance of a number from zero on a number line; shown by | |
least common multiple (LCM)
a multiple that is shared between two or more numbers that is lower than all the other common multiples
commutative property of addition
If the order of the terms changes, the sum stays the same.
associative property of addition
When the grouping of terms changes, the sum stays the same.
Additive identity property
The sum of any number and 0 is the number.
every whole number is actually over 1, but it isn't written
commutative property of multiplication
If the order of factors changes, the product stays the same.
associative property of multiplication
When the grouping of factors changes, the products stays the same.
Multiplicative identity property
The product of any number and 1 is the number.
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
a number in which, when combined with a mathematical operation on a number, leaves the number unchanged
Operations that undo each other
Two numbers that are an equal distance from zero on a number line; also called additive inverse.
One of two numbers whose product is 1; it is also called multiplicative inverse.
reciprocal of a number
when multiplying a number by itself to get a square number
Principal Square Root
the nonnegative square root of a number
the number that forms when two same numbers are multiplied together
A number that cannot be written as a fraction with a numerator and a denominator that are integers. The decimal representation of a rational number either ends or repeats.
guess and check
problem-solving strategy where you guess a solution and plug in the number to check for correctness
problem-solving strategy where you are giving a solution and you work in inverse order to get the original problem