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13 Cards in this Set
- Front
- Back
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What are real numbers?
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Rational and Irrational numbers
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What are rational numbers?
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Positive and Negative fractions, integers, decimals, which terminate or repeat.
for ex., 4.5674534524152436 or 6 |
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What are irrational numbers?
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decimals which don't terminate and don't repeat (repetend)
for ex., radical 3 or 3.454545454545454545 |
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These numbers are expressed as a ratio of two integers a/b, where b is not equal to 0
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Rational numbers
ex., -6 = -6/1 or -12/2 etc. (the denominator is 1, which is not equal to zero) |
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What is an integer?
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Whole numbers and their opposites
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What is absolute value?
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Distance a number is from zero on the number line
ex., -6 is six away from zero, the same as 6 is also six away from zero (in both examples, six is the absolute value) |
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What are natural numbers?
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Counting numbers: 1,2,3,4...
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What is a reciprocal?
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The number you must multiply by to equal one
ex., 5 x ? = 1 5 x 1/5 = 1 ? = 1/5 essentially, the reciprocal is the flipped fraction of the given number: 5/1 ---> 1/5 (the reciprocal) |
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What is the commutative property?
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ORDER PROPERTY
Change order without changing result: a+b=b+a 4+6=6+4 (can be of addition or multiplication) |
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What is the associative property?
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GROUPING PROPERTY-
(a+b)+c=a+(b+c) (4+7)+2=4+(7+2) |
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What is the identity property?
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SAMENESS PROPERTY-
a+0=a a•1=a 4+0= 4 4•1= 4 |
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What is the inverse property?
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a+-a=0 (property of opposites)
4+-4=0 a•1/a=1 (property of reciprocals) 4•1/4=1 |
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What is the distributive property?
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a(b+c)=a•b+a•c
4(7+2)=4•7+4•2 |
