## 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 3.4x107 by 6x10-2:

• First, the base numbers are 3.4*6 = 20.4
• Then, adding the exponents makes 7 + (-2) = 5
• Finally, 20.4x105 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 2.04x106

### Scientific Notation: Practice

#### Multiply.

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x10 * x10 =

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