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13 Cards in this Set

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  • Back
What are real numbers?
Rational and Irrational numbers
What are rational numbers?
Positive and Negative fractions, integers, decimals, which terminate or repeat.

for ex.,

4.5674534524152436
or
6
What are irrational numbers?
decimals which don't terminate and don't repeat (repetend)

for ex.,

radical 3
or
3.454545454545454545
These numbers are expressed as a ratio of two integers a/b, where b is not equal to 0
Rational numbers

ex.,

-6 = -6/1 or -12/2 etc.
(the denominator is 1, which is not equal to zero)
What is an integer?
Whole numbers and their opposites
What is absolute value?
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)
What are natural numbers?
Counting numbers: 1,2,3,4...
What is a reciprocal?
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)
What is the commutative property?
ORDER PROPERTY

Change order without changing result:

a+b=b+a
4+6=6+4

(can be of addition or multiplication)
What is the associative property?
GROUPING PROPERTY-

(a+b)+c=a+(b+c)
(4+7)+2=4+(7+2)
What is the identity property?
SAMENESS PROPERTY-

a+0=a
a•1=a

4+0= 4
4•1= 4
What is the inverse property?
a+-a=0 (property of opposites)
4+-4=0

a•1/a=1 (property of reciprocals)
4•1/4=1
What is the distributive property?
a(b+c)=a•b+a•c
4(7+2)=4•7+4•2