Scientific Notation for Large Numbers
Scientific Notation is a method to express large numbers as powers of 10. Learn how to convert numbers into this format by determining the exponent and correctly placing the decimal. Practice examples included.
Scientific Notation for Large Numbers
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Presentation Transcript
7.3 Scientific Notation SRB pg. 8
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
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
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
Extra Practice • 600 • 6 x 102 • 80,000,000,000 • 8 x 1010 • 523,000,000 • 5.23 x 108
Reverse Practice • 8 x 103 • 8,000 • 6.5 x 105 • 650,000 • 7.523 x 105 • 752,300