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Level 277

Real Numbers


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Integer
The set of whole numbers and their opposites.
Rational Number
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.
numerator
the top part of a fraction
Denominator
the bottom part of a fraction
proper fraction
rational numbers where the numerator is less than the denominator
improper fraction
a fraction whose numerator is larger than the denominator
equivalent fractions
fractions that have the same value
reducing
writing a fraction in lowest terms
simplest form
a fraction that is in lowest terms
lowest common denominator (LCD)
the least common multiple of two denominators
Common Denominator
a denominator that is the same in two or more fractions
additive inverse
the opposite of a number
absolute value
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.
invisible denominator
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.
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
identity element
a number in which, when combined with a mathematical operation on a number, leaves the number unchanged
inverse operation
Operations that undo each other
opposite
Two numbers that are an equal distance from zero on a number line; also called additive inverse.
reciprocal
One of two numbers whose product is 1; it is also called multiplicative inverse.
multiplicative inverse
reciprocal of a number
Square Root
when multiplying a number by itself to get a square number
Principal Square Root
the nonnegative square root of a number
radical sign
Perfect Square
the number that forms when two same numbers are multiplied together
Irrational Number
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
working backwards
problem-solving strategy where you are giving a solution and you work in inverse order to get the original problem