# Math Study Cards

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The flashcards below were created by user relkins on FreezingBlue Flashcards.

1. Natural or Counting Numbers
1, 2, 3, 4...
2. Whole Numbers
0, 1, 2, 3,4...
3. Integers
-2, -1, 0, 1, 2, 3...
4. Rational Numbers
• Fractions
• Real numbers can be written as fractions:
• 5 = 5/1
• Thus all integers are rational numbers
• Terminating (.5) and repeating numbers (.333) decimals are rational numbers as they can be written as fractions
5. Irrational Numbers
• They cannot be written as a fraction
• i.e. Pi or the square root of 3
• Closure
• Commutative
• Associative
• Identity Element
7. Closure
Is when all answers fall into the original set:

(2 + 4 = 6) the set of even numbers is closed

(3 + 5 = 8) two odds equal even, thus it is open
8. Commutative
Means that the order does not make any difference:

a + b = b + a

Does not hold for subtraction
9. Associate
Means that the grouping does not make any difference:

(a + b) + c = a + (b + c)

Does not apply to subtraction
10. Identity Element
Any number added to zero equals the original number:

a + 0 = a
Is the opposite (negative) of the number

3 and -3
12. Properties (axioms) of multiplication
• Closure
• Commutative
• Associative
• Identity Element
• Multiplicative Inverse
• Distributive Property
13. Closure
Is when all answers fall into the original set:

2 x 4 = 8 (closed)

3 x 5 = 15 (closed)
14. Commutative
Means that the order does not matter:

a x b = b x a
15. Associative
Means that the grouping does not make any difference:

(a x b) x c = a x (b x c)

Does not hold for division
16. Identity Element
For multiplication is 1. Any number multiplied by 1 gives the original number.

a x 1 = a
17. Multiplicative Inverse
Is the reciprocal of the number. Any number multiplied by its reciprocal equals 1.

a x 1/a = 1; a and 1/a are multiplicative inverses or reciprocals (provide that a does not equal zero)
18. A Property of Two Operations: Distributive Property
Is the process of distributing the number on the outside of the parentheses to each term on the inside: a(b + c) = a(b) + a(c)

Note: You cannot use the distributive property with only one operation: a(bcd) does not equal a(b) x a(c) x a(d)

## Card Set Information

 Author: relkins ID: 301593 Filename: Math Study Cards Updated: 2015-04-27 01:18:17 Tags: Math Folders: Description: Math Show Answers:

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