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Scientific Notation Review

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Last updated about 4 years ago
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The following problems are homework problems.

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To convert a number from scientific notation to standard notation, first, we have to notice the exponent of 10 in scientific notation.

If the exponent of 10 is positive, we have to move the decimal point to the right.

If the exponent of 10 is negative, we have to move the decimal point to the left.

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If there is no decimal point in the number

Ex. 205852

1. Place a decimal point at the end of the number

2. Move the decimal point to the right of the first digit.

3. Count how many "hops" it takes to move to the right of the first digit. That is your exponent.

4. Because you moved the decimal to the left, the exponent will be positive

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If there is a decimal point in the number and the first digit is 0

Ex. 0.00008035

1. Move the decimal point to the right of the first non-zero digit.

3. Count how many "hops" it takes to move to the right of the first non-zero digit. That is your exponent.

4. Because you moved the decimal to the right, the exponent will be negative.

5. Remove any zeros to the left of the first non-zero digit.

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