Scientific Notation

1. IWBAT write, evaluate, and calculate numbers with scientific notation. Scientific Notation

2. What is scientific notation? • Scientific notation provides a way to write numbers using powers of ten. • Written as a product of 2 factors. • The first factor is a number greater than or equal to one BUT less than ten. • The second factor is a power of 10. • 7,500,000,000,000 = 7.5 x 10 **Scientific Notation lets you know the size of a number without having to count the digits!

3. About 4,200,000 people visit the Statue of Liberty every year. Write this number in scientific notation. • 4,200,000 • 4.2 • 4.2 x 10 ⁶ • Move the decimal point to get a decimal greater than 1 but less than 10. • Drop the zeros after the 2. • You moved the decimal point 6 places. The number is large. Use 6 as the exponent of 10.

4. Write each number in scientific notation. • 54,500,000 • 723,000 • 602,000,000,000

5. Write 0.000079 in scientific notation. • 0.000079 • 7.9 • 7.9 x 10⁻⁵ • Move the decimal point to get a decimal greater than 1 but less than 10. • Drop the zeros before the 7. • You moved the decimal point 5 places. The number is small. Use -5 as the exponent of 10.

6. Write each number in scientific notation. • 0.00021 • 0.00000005 • 0.0000000000803

7. Write each number in standard notation. • 8.9 x 10⁵ • 8.9000 • Write zeros while moving the decimal point. • 890,000 • Rewrite in scientific notation. • 2.71 x 10⁻⁶ • 000002.71 • Write zeros while moving the decimal point. • 0.00000271 • Rewrite in scientific notation.

8. Write each number in standard notation. • 3.21 x 10⁷ • 5.9 x 10⁻⁸ • 1.006 x 10