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real numbers and real number properties
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Terms in this set (20)
rational numbers
6.1, 1/4
integers
-1, 0, 1
whole
0, 1, 2
natural
1, 2, 3
irrational
π
additive identity
The sum of zero and any real number
additive inverse
a and -a
reciprocal
a 1/a
commutative
a+b=b+a, ab=ba
associative
(a+b)+c=a+(b+c), (ab)c=a(bc)
identity
a+0=a, 1a=a
inverse of addition
a+-a=0
distributive
a(b+c)= ab+ac
distributive prop for subtraction
a(b-c) = ab-ac
multiplication by 0
0xa = 0
multiplication by -1
-1xa = -a
substitution
if a=b then you can replace them with each other
inverse of multiplication
ax(1/a)=1
zero property
the product of zero and any number is zero
multiplication property of -1
100(-1) = -100 x(-1) = -x
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