Multiplying Numbers in Scientific Notation
Scientific Notation: Learn
How to multiply numbers in scientific notation:
- Multiply the base numbers
- Add the exponents of the tens
- Adjust the base number to have one digit before the decimal point by raising or lowering the exponent of the tens
For example, multiply 3.4x10^{7} by 6x10^{-2}:
- First, the base numbers are 3.4*6 = 20.4
- Then, adding the exponents makes 7 + (-2) = 5
- Finally, 20.4x10^{5} is not valid scientific notation because we can only have 1 digit left of the decimal. Moving the decimal 1 place to the left means increasing the exponent by 1. Our final answer is 2.04x10^{6}
Scientific Notation: Practice
Multiply.
00:00
x10^{} * x10^{} =
x10^{} |
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