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Algebra Properties and Names of Numbers (Honors)
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Terms in this set (17)
Reflexive
any number equals itself (a=a)
Symmetric
if two numbers are equal you can interchange them on either side of the equal sign (a=b then b=a)
Transitive
if one number equals a second and the second equals a third, than the first and the third are equal (a=b, b=c, then a=c)
Additive identity
adding zero to a number does not change the number (a+0=a)
Multiplicative identity
multiplying a number by 1 does not change the number (a*1=a)
Additive inverse
a number added to its opposite is 0 (a+-a=0)
Multiplicative inverse
a number times its reciprocal is 1 (a*1/a=1)
Commutative
the order of multiplying or adding numbers does not change the answer, does not work with subtraction and division (a+b=b+a)
Associative
the grouping of adding or multiplying numbers does not change the answer, does not work with subtraction and division a(bc)=(ab)c
Distributive
the product of a number and a sum is the same as the sum of the products a(b+c)=ab+ac
Rational Numbers
real numbers expressed as a ratio of two integers (-2, 0.18, 3/4)
Integers
whole numbers and their opposites (-12, -3, 0, 5, 15)
Whole Numbers
zero and natural numbers (0, 1, 2, 3.....)
Natural Numbers
all the counting numbers, does not include zero (1, 2, 3, 4...)
Irrational Numbers
real numbers that cannot be expressed as a fraction (pi, 0.1211211121112, the square root of 11)
Imaginary numbers
numbers that aren't real
Real numbers
numbers that are real
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