5 Try changing these numbers from Standard Notation to Scientific Notation: .083765673x 1063.45 x 10-58.376 x 1025.673 x 103
6 Using scientific notation, rewrite the following numbers. Now You TryUsing scientific notation, rewrite the following numbers.347,000.3.47 X 105902,000,000.9.02 X 10861,400.6.14 X 104
7 Commutative Properties Changing the order of the numbers in addition or multiplication will not change the result.Commutative Property of Addition states: = or a + b = b + a.Commutative Property of Multiplication states: 4 • 5 = 5 • 4 or ab = ba.
8 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)+ cAssociative Property of Multiplication states: (2 • 3) • 4 = 2 • (3 • 4) or (ab)c = a(bc)
9 Distributive Property Multiplication distributes over addition.
10 Additive Identity Property There exists a unique number 0 such that zero preserves identities under addition.a + 0 = a and 0 + a = aIn other words adding zero to a number does not change its value.
11 Multiplicative Identity Property There exists a unique number 1 such that the number 1 preserves identities under multiplication.a ∙ 1 = a and 1 ∙ a = aIn other words multiplying a number by 1 does not change the value of the number.
12 Additive Inverse Property For each real number a there exists a unique real number –a such that their sum is zero.a + (-a) = 0In other words opposites add to zero.
13 Multiplicative Inverse Property For each real number a there exists a unique real number such that their product is 1.