Properties and Scientific Notation
Try changing these numbers from Scientific Notation to Standard Notation: 9.678 x 104 7.4521 x 10-3 8.513904567 x 107 4.09748 x 10-5 96780 .0074521 85139045.67 .0000409748
Convert these: 1.23 X 105 123,000 6.806 X 106 6,806,000
2.48 X 103 2,480 6.123 X 106 6,123,0 1.248 X 10-6 .000001248 6.123 X 10-5 .00006123 00
Try changing these numbers from Standard Notation to Scientific Notation: 9872432 .0000345 .08376 5673 9.872432 x 106 3.45 x 10-5 8.376 x 102 5.673 x 103
Using scientific notation, rewrite the following numbers. Now You Try Using scientific notation, rewrite the following numbers. 347,000. 3.47 X 105 902,000,000. 9.02 X 108 61,400. 6.14 X 104
Commutative Properties Changing the order of the numbers in addition or multiplication will not change the result. Commutative Property of Addition states: 2 + 3 = 3 + 2 or a + b = b + a. Commutative Property of Multiplication states: 4 • 5 = 5 • 4 or ab = ba.
Associative Properties Changing the grouping of the numbers in addition or multiplication will not change the result. Associative Property of Addition states: 3 + (4 + 5)= (3 + 4)+ 5 or a + (b + c)= (a + b)+ c Associative Property of Multiplication states: (2 • 3) • 4 = 2 • (3 • 4) or (ab)c = a(bc)
Distributive Property Multiplication distributes over addition.
Additive Identity Property There exists a unique number 0 such that zero preserves identities under addition. a + 0 = a and 0 + a = a In other words adding zero to a number does not change its value.
Multiplicative Identity Property There exists a unique number 1 such that the number 1 preserves identities under multiplication. a ∙ 1 = a and 1 ∙ a = a In other words multiplying a number by 1 does not change the value of the number.
Additive Inverse Property For each real number a there exists a unique real number –a such that their sum is zero. a + (-a) = 0 In other words opposites add to zero.
Multiplicative Inverse Property For each real number a there exists a unique real number such that their product is 1.