Understanding Scientific Notation for Large Numbers

1. 7.3 Scientific Notation SRB pg. 8

2. Scientific Notation • Scientific Notation is a way to write large numbers as a power of 10. • The parts are: a number, a multiplication symbol, and a power of 10. • For example 4,000 can be written as 4 x 103

3. How to write a number in scientific notation: • The number of places in-between the decimal place and the last digit becomes the exponent for a power of ten. • Ex. 50,000,000 -> 107 • The digit furthest from the decimal is then added to the power of ten with a multiplication symbol • 50,000,000 -> 5 x 107 7 6 5 4 3 2 1

4. When you have multiple digits: • When there are more numbers then just zero, you count the places from the decimal place to the last number and that becomes your power of 10. • 24,000 -> 104 • The last place value becomes the whole number and any other digits are then added as decimals: • 24,000 -> 2.4 x 104 4, 3, 2,1

5. Extra Practice • 600 • 6 x 102 • 80,000,000,000 • 8 x 1010 • 523,000,000 • 5.23 x 108

6. Reverse Practice • 8 x 103 • 8,000 • 6.5 x 105 • 650,000 • 7.523 x 105 • 752,300