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19 Cards in this Set

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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 m-n
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