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19 Cards in this Set
- Front
- Back
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ZERO in Division
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When you divide 0 by a number, it's 0. When you divide a number by 0, the answer is undefined. 1/0=undefined. 0/1=0. 0 cannot be a denominator!
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Closure |
When all the answers fall into the original set. Ex. 2+4 = Even, the set of even numbers is closed. Ex. 2+3=Odd, this set is not closed.ExE=E. (closed) 0x0=0. (closed)
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Commutative |
Means the order does not make a difference. 1+2=2+1. Does not work in subtraction. Multiplication- a x b= b x a.
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Associative
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Grouping has changed (parentheses moved). Addition, not subtraction. Multiplication, not division. (axb)xc=a(bxc).
Change "associations." |
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Natural Numbers
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Natural numbers are 1,2,3,4,... where the 4,... represents to positive infinity. Counting numbers.
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Whole Numbers
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Whole numbers are the natural numbers (1,2,3,4,... pos. infinity) and zero. Natural numbers + 0.
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Integers
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The integers are natural numbers, their opposites (negative numbers), and zero. Example- ...-2, -1, 0, 1, 2, . Natural numbers + whole numbers + negatives.
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Rational Numbers
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Rational numbers are numbers that can be written as a fraction a/b with a and b being integers and b≠0. Rational numbers either terminate or end with a repeating decimal. Example- 1.5 or 2 1/3 = 2.33.
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Irrational Numbers
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Irrational numbers are numbers that cannot be written as a fraction a/b with a and b being integers and b≠0. Irrational numbers do not terminate and do not end with a repeating decimal. Example- pi (3.14...), and the square root of 2 & 3.
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Real Numbers
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Rational + irrational numbers.
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Prime Numbers
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Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc. These numbers have only two factors (1 and the number itself).
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Composite Numbers
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Composite numbers have three or more factors. Examples: 4, factors are 1, 2, 4, 12.
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Equivalency
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Equal in value. Examples- 1/2=5/10 or .5 etc.
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Scientific Notation
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Used to express very large or very small numbers, usually in science. Positive exponent= large number, Negative exponent = small number.
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Identity Property
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This property does not change the value (identity) of a number. Addition- a+0=0+a. Multiplication- times positive 1, a x 1 = 1 x a = a.
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Inverse for Addition
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The opposite of a number. The inverse property for addition is adding the opposite of a number to result in zero: a + -a = 0. -a and a are additive inverses.
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Inverse for Multiplication
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The inverse property for multiplication is multiplying by the reciprocal to result in 1. (3/2)(2/3)=1, (-5)(-1/5)=1 since -5 = -5/1. So, -5 & -(1/5) are reciprocals. This is a(1/a)=(1/a)(a).
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Distributive Property
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Process of distributing the number on the outside of the () to each term on the inside. Combines addition and multiplication. States that a(b+c)=ab+ac, and that (b+c)a=ba+ca. You cannot use it with only 1 operation. 3(4x5x6) does not equal 3(4) x 3(5) x 3(6).
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Improper Fraction
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When N > D.
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