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Here are some tips for Scientific Notation, which aligns with Florida state standards:

**Scientific Notation**

Examples of using scientific notation:

Which one do you think is easier to read, the number written out or the number written using scientific notation?

Original statement: Jupiter is 483400000 miles away from the sun. With scientific notation: Jupiter is 4.834 × 10 ^{8}miles away from the sun.Original statement: The radius of a chlorine atom is 0.00000000012 meters. With scientific notation: The radius of a chlorine atom is 1.2 × 10 ^{-10}meters.

For 4.834 × 10^{8}, 4.834 is called the **significant value** and 8 is called the **exponent**.

For 1.2 × 10^{-10}, 1.2 is called the significant value and -10 is called the exponent.

Significant values **must** be greater or equal to 1 and less than 10.

**Example 1:** Write numbers in normal notation

Convert from scientific notation into normal notation.

a. 8.49 × 10 ^{5}The exponent is 5 which means that we move the decimal point on the significant value to the right by 5 zeros.

8.49 × 10^{5}= 849000b. 6.023 × 10 ^{-4}The exponent is -4 which means that we move the decimal point on the significant value to the left by 4 zeros.

6.023 × 10^{-4}= 0.0006023

**Example 2:** Write numbers in scientific notation

Convert from normal notation into scientific notation. Use '*' for the multiplication sign.

a. 4646000000 Count how many decimal places you have to move so that you have a number between 1 and 10.

You have to move the decimal point 9 places to the left to get 4.646

So the significant value is 4.646 and the exponent is 9.

46460000000 = 4.646 * 10^{9}b. 0.0000003507 Count how many decimal places you have to move so that you have a number between 1 and 10.

You have to move the decimal point 7 places to the right to get 3.507

So the significant value is 3.507 and the exponent is -7.

0.0000003507 = 3.507 * 10^{-7}

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