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13 Cards in this Set
 Front
 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 