IXL | Multiply numbers written in scientific notation

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question

Multiply.

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key idea

A number written in scientific notation has two factors multiplied together. The first factor must be at least 1 and less than 10, and the second factor must be a power of 10.

The associative property of multiplication says that you can group the factors in any way without changing the result.

solution

Multiply.

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Associative property of multiplication

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Associative property of multiplication

Multiply

The number is not in scientific notation, because the first factor must be at least 1 and less than 10. Rewrite the number in scientific notation.

Look at the first factor, 20. Move the decimal point to the left until the first factor is between 1 and 10. Keep track of how many places you move the decimal point.

You made the first factor smaller by moving the decimal point 1 place to the left, so add 1 to the exponent.

The answer is

Looking for more? Try these:

Lesson: Multiplying and dividing numbers in scientific notation

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Teacher tools

Work it out

Not feeling ready yet? These can help:

C.9Multiply powers: integer bases

D.1Convert between standard and scientific notation

D.3Multiply decimals

Lesson: Multiplying and dividing numbers in scientific notation

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