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19 Cards in this Set
 Front
 Back
 3rd side (hint)
Numbers that can be expressed in the form p/q, where p and q are integers and p≠0. Decimal notation for rational numbers either TERMINATES or REPEATS.

rational numbers

0
7 1/4 = .25 5/11 = .454545...(repeats) 

Real numbers that are not rational. Decimal notation neither treminates nor repeats.

irrational numbers

π


Positive and negative whole numbers, including zero.

integer

0, 1, 12


Whole numbers that are not negative, including zero.

whole numbers

0, 1, 2, 3...


Posivive whole numbers.

natural numbers

1, 2, 3...


a + b = b + a
and ab = ba 
commutative properties of addition and multiplication

to move...


a + (b + c) = (a + b) + c
and a(bc) = (ab)c 
associate properties of addition and multiplication

an informal visit...


a + 0 = 0 + a = a

additive identity property



a + a = a + a =0

additive inverse property



a * 1 = 1 * a = a

multiplicative identity property



if a≠0, then:
a * 1/a = 1/a * a = 1 
multiplicative inverse property



a(b + c) = ab + ac
or a(b  c) = ab  ac 
distributive property



On a number line, the distance a number is from zero.

absolute value

a = a
5 = 5 1/3 = 1/3 

The number of times a factor appears in a product.

exponent

7 * 7 * 7 = 7³


bª * bª = bª+ª
or a to the power of m times a to the power of n = a to the power of m+n 
product rule



if a≠0, then a to the power of m ÷ by a to the power of n = a to the power of mn

quotient rule



a to the power of m * the power of n = a to the power of m*n

power rule



(a * b) to the power of m = (a to the power of m) * (b to the power of m)

raising a product to a power



if b≠0, then (a/b) to the power of m = (a to the power of m) ÷ (b to the power of m)

raising a quotient to a power

