Exam Review (Math)
Terms
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- Associative property of multiplication of whole numbers
- For any whole numbers a,b,and c {axb)xc=ax(bxc)
- Closure property of Multiplication of Whole numbers
- Everything in the set is still in the set when multiplied. {1,0}
- Commutative property of multiplication
- From any whole number 2, 3 2x3=3x2
- Compliment of set
- The compliment of A is the set of all elements in the universla set that are not in A.
- Distributive property of multiplication over addition of whole numbers
- a,b,c a(b+c)=ab+ac
- Equal sets
- two sets, A and B, are equal if they have the wxact same elements. This is written A=B
- Equivalent set
- two sets, A and B, are equivalent if there is a one-to one correspondence between the sets A and B. This is written as A~B
- Identity Property of whole numbers
- there is a unique whole number 1 such tha tfor any whole number a, ax1=a=1xa
- Integers
- no fractions or decimals -3,-2,-1,0,1,2,3
- Intersection
- the intersection of set A and B is written A n B. It is the set of elements that are in both A and set B
- Irrational numbers
- numbers that are non-terminating, non-repeating decimals, they cannot be written as a fraction
- Natural
- 1,2,3
- One-to One Correspondence
- When each element of set A can be paired with an element of set B and each element of set B can be paired with an element of set A
- Proper Subset
- a set is a proper subset of another set if all the elements in the first set are also in the second set and the second set ha an element that the first set does not
- Rational numbers
- any number tha tcan be written as a fraction
- Real numbers
- any number that can be written as a decimal
- Subset
- A set is a subset of another set if all the elements in the first set are also in the second set
- Union
- The union of set A and B is written A u B. It is the set of elements that are in either set A or B
- Universal set
- (U) Contains all the possible objects being considered for sets
- Whole
- positive or zero 0,1,2,3
- Zero multiplication property of whole numbers
- for any whole number a, ax0=0=0xa