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states that a number equals itself: That is, a=a
Reflexive Property
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States tha if a=b, then b=a
symmetric Property
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states that if a=b and b=c, then a =c.
transitive property
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states that if a=b, then we may substitute b for a in any expression containing a.
Principle of substitution
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states the the order in which addition or multiplication takes place does not affect the final result.
Commutative property
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states The way we add or multiply three real numbers does not affect the final result. Expressions such as 2+3+4 and 3*4*5 present no ammbiguity, even though addition and multiplication are performed on one pair of numbers at a time.
Associative Properties.
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What Property is this?
Distributive Property
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What property is this?
- Identity Properties
- We call the 0 the addtitive identity and the 1 the multiplicative identity.
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the real numbers 0 and 1 have unique properties called ?
Identity properties
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For each real number a, there is a real number -a, called
additive inverse of a
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What property is this?
Additive INverse property
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Finding an Additive inverse
the use of the term 'negative" can be dangerous instead use minus
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for each nonzero real number a, there is a real number 1/a, called the
Multiplicative inverse
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What property is this?
Multiplicative inverse property
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The multiplicate inverse 1/a of a nonxzero real number a is also referred to as the ?
Reciprocal
*the number 0 has no reciprocal.
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Finding a reciprocal.
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a-b, also read "a less b" or "a minus b," is defined as?
Difference
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if b is a nonzero real number,
"a divided by b" or "the ratio of a to b" is defined as?
Quotient
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Working with differences and quotients
what are the division properties for a nonzero number a.?
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What property is this?
Zero-Product Property
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