Operations on real numbers

May 29th, 2015
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1.Closure property of addition •States that when we add real numbers to other real numbers the result is also real.•A+B=C 2. Associative property of addition • States that for all real numbers a, b, and c, their sum is always the same,

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Operations on real numbers:1. Closure property of additionStates that when we add real numbers to other real numbers the result is also real.A+B=C2. Associative property of additionStates that for all real numbers a, b, and c, their sum is always the same, regardless of their grouping.(a + b) + c = a + (b + c)3. Commutative property of additionThe property of addition that allows two or more addends to be added in any order without changing the sum;a + b = b + a4. Identity property of additionStates that the sum of zero and any number or variable is the number or variable itself.x + 0 = x5. Distributive property of multiplication over additionStates that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.4 (2 + 3) = 4 2 + 4 36. Closure property of multiplicationStates that the product of any two real numbers equals another real number.4 7 = 287. Associative property of multiplicationstates that for all real numbers a, b, and c, their product is always the same, regardless of their grouping:(a . b) . c = a . (b . c)8. Commutative property of multiplicationStates that changing the order of factors does not change the producta b = b a.9. Identity property of multiplicationSays that a number does not change when that number is multiplied by 1.a 1 = a10. Reflexive property of equalitySays that anything is equal to itselfA = A11. Symmetry property o

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