8.4 Scientific Notation

Goals: Use scientific notation to represent numbers. Multiply and divide numbers in scientific notation.

Eligible Content:A1.1.1.3.1

7-4 Scientific NotationVocabularyDecimal Form regular numbers.Examples: 75,000,0000.0045230

Scientific Notation a shorter way to write really big or really small numbers.Examples:6.02 x 1059.2 x 10-5Scientific NotationAlways looks like:

c can be any number from 1 to 10, but it cannot be 10.

1 c < 10

n can be any integer (positive or negative whole number).If n is positive, the number is larger than 1. (big numbers)If n is negative, the number is smaller than 1. (small numbers)

ExamplesWrite each number in scientific notation.

24,000,00036,4000.000350.0024,502,000,0002.4 x 1073.64 x 1043.5 x 10-42 x 10-34.502 x 109ExamplesWrite each number in decimal form.

5.2 x 1043.1 x 10-56.24 x 1029.1 x 10-952,0000.0000316240.0000000091

Multiplying Numbers in Scientific Notation

ADD exponents

MULTIPLYnumbers

Dividing Numbersin Scientific Notation

SUBTRACT exponents

DIVIDE numbers

Examples

PracticeWorksheet 8.4 Practice BEVENS ONLY

HomeworkPages 417-418 #20-25, 28-33, 36-41