7-4 Scientific Notation Goals: Use scientific notation to represent numbers. Multiply and divide numbers in scientific notation. Eligible Content: A1.1.1.3.1

Vocabulary Decimal Form – regular numbers. Examples: 75,000,000 0.0045 230 Scientific Notation – a shorter way to write really big or really small numbers. 6.02 x 105 9.2 x 10-5

Scientific Notation Always 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)

Examples Write each number in scientific notation. 2.4 x 107 24,000,000 36,400 0.00035 0.002 4,502,000,000 2.4 x 107 3.64 x 104 3.5 x 10-4 2 x 10-3 4.502 x 109

Examples Write each number in decimal form. 5.2 x 104 52,000 0.000031 624 0.0000000091

Express 458,000,000 in scientific notation. B. 4.58 × 107 C. 4.58 × 108 D. 4.58 × 10–8

Express 0.0000452 in scientific notation. B. 4.52 × 10–4 C. 4.52 × 105 D. 4.52 × 10–5

Express 3.16 × 10–2 in standard notation. B. 0.00316 C. 3.1600 D. 316

Express 7.61 × 103 in standard notation. B. 0.000761 C. 761 D. 7610

Practice Worksheet – “7-2 Scientific Notation” #1-8

Multiplying Numbers in Scientific Notation ADD exponents

Dividing Numbers in Scientific Notation DIVIDE numbers SUBTRACT exponents

Examples

Evaluate (8 × 105)(2.1 × 10–3). Express the result in both scientific notation and standard form.

Evaluate Express the result in both scientific notation and standard form.

Practice Worksheet – “7-2 Scientific Notation” #9-14

Homework Pages 417-418 #20-25, 28-33, 36-41