Use Scientific Notation Section 8-4 Use Scientific Notation

Scientific Notation ● A number is written in scientific notation when it is of the form c X 10n where 1 ≤ c < 10 and n is an integer. Number Standard Form Scientific Notation Two million 2,000,000 2 X 106 Five Thousandths 0.005 5 X 10-3

Example 1 Write in scientific notation: a. 54, 900,000 = b. 0.0000478 = 5.49 x 107 4.78 x 10-5

Example 2 a. 1.875 X 109 = b. 5.76 X 10-4 = Write in standard form: =1 875 000 000 5.76 =0.000576

Example 3 Order numbers from least to greatest: 7.86 X 108 ; 306,000,000 ; 106,000 Write in standard from and compare numbers 786,000,000 ; 306,000,000 ; 106,000 3 2 1 Write in back in ORIGINAL FORM! 106,000 ; 306,000,000 ; 7.86 X 108;

Example 4 Evaluate the expression. Write your answer in scientific notation: (8.5 X 102)(1.7 X 106) = 2. (1.5 X 10-3 )2 (8.5 * 1.7) X 102+6 14.45 X 108 1.445 X 109 = 1.52 X 10-3•2 2.25 X 10-6

Example 4 cont Evaluate the expression. Write your answer in scientific notation: 3. 1.2 X 104 = 1.6 X 10-3 (1.2 ÷ 1.6) X 104-(-3) 0.75 X 107 7.5 X 106

Homework Section 8-4 Page 515 - 516 6 – 9, 13, 19, 24, 30, 33, 40, 42, 47