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19 Cards in this Set
- Front
- Back
- 3rd side (hint)
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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.
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rational numbers
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0
-7 1/4 = .25 -5/11 = -.454545...(repeats) |
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Real numbers that are not rational. Decimal notation neither treminates nor repeats.
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irrational numbers
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π
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Positive and negative whole numbers, including zero.
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integer
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0, 1, -12
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Whole numbers that are not negative, including zero.
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whole numbers
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0, 1, 2, 3...
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Posivive whole numbers.
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natural numbers
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1, 2, 3...
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a + b = b + a
and ab = ba |
commutative properties of addition and multiplication
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to move...
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a + (b + c) = (a + b) + c
and a(bc) = (ab)c |
associate properties of addition and multiplication
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an informal visit...
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a + 0 = 0 + a = a
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additive identity property
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-a + a = a + -a =0
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additive inverse property
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a * 1 = 1 * a = a
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multiplicative identity property
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if a≠0, then:
a * 1/a = 1/a * a = 1 |
multiplicative inverse property
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a(b + c) = ab + ac
or a(b - c) = ab - ac |
distributive property
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On a number line, the distance a number is from zero.
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absolute value
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a = |a|
-5 = |5| 1/3 = |1/3| |
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The number of times a factor appears in a product.
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exponent
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7 * 7 * 7 = 7³
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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
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if a≠0, then a to the power of m ÷ by a to the power of n = a to the power of m-n
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quotient rule
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a to the power of m * the power of n = a to the power of m*n
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power rule
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(a * b) to the power of m = (a to the power of m) * (b to the power of m)
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raising a product to a power
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if b≠0, then (a/b) to the power of m = (a to the power of m) ÷ (b to the power of m)
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raising a quotient to a power
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