Math
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PRESENTATION OUTLINE
Closure
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Addition
- if you add real numbers the answer is also real numbers.
Ex.:
40+78=118
30+29=59
(The sum of each examples are Real numbers)
Multiplication
- when we multiply real numbers with other real number the result is real numbers.
Ex.:
--5(8) = --40
4(--9) = --36
(The product of each examples are Real numbers)
COMMUTATIVE PROPERTY
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Addition
-order of the addends does not change the sum.
Ex.:
15+14= 14+15 =29
--13 --8 = --8 --13 = --21
Multiplication
-order of the factors does not change the product.
Ex.:
3(--3) = --3(3) = --9
8(5) = 5(8) = 45
ASSOCIATIVE PROPERTY
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Addition
-grouping of addends but does not change the sum.
Ex.:
57+(34+5) = (57+34)+5
(23+34)+5 = 23+(34+5)
Multiplication
-grouping of factors but does not change the product.
Ex.:
(--5)[(3)(--4)] = [(--5)3](--4)
(6)[3(12)] = [(6)3] (12)
Multiplication over Addition
Multiplication is sadi to be distributive over addition.
Ex.:
12(6+7) = 12(6) + 12(7)
= 72 + 84
= 156
(7)(12) +(7)(7) = (7)(12+7)
=(7) (19)
= 133
IDENTITY PROPERTY
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Addition
Zero(0) is the additive identity element. The sum of any real number is still the number itself.
Ex.:
213+0 = 213
3425 +0= 3425
Multiplication
-One(1) is the multiplicative identity element. The product of any real number is still the number itself.
Ex.:
231x1= 231
3412x1= 3412
INVERSE PROPERTY
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Addition
- if the sum of two real numbers is 0, the real number are said to be additive inverses or opposites.
Ex.:
13+(--13)= 0
231+(--231)=0
Multiplication
-product of any number and its multiplicative inverse is 1.
Ex.:
1/2 (2/1) = 1
3/4 (4/3) =1
ZERO PROPERTY
Photo by Jerzy Durczak (a.k.a." jurek d.")
