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Scientific Notation Chemistry

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**Scientific Notation Expresses numbers as a multiple of two factors:**

A number between 1- 10 10 raised to a power or exponent 6.23 x 10 23

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Scientific Notation When numbers larger than 1 are expressed in scientific notation, the exponent is positive. 2.0 x 10 3 = 2000 When numbers smaller than 1 are expressed in scientific notation, the exponent is negative. 2.0 x = 0.002

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**Scientific Notation Moving the decimal.**

The exponent just tells you how many times you had to move the decimal. Positive exponent, we move to the left. Negative exponent, we move to the right.

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Practice Express the following in scientific notation: 700m 38 000m m m

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Answers 7 x 10 2 3.8 x 10 4 4.5 x 10 6 6.85 x 10 11

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Practice Express the following in scientific notation: kg kg kg kg

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Answers 5.4 x10 -3 6 x 10 -6 7.6 x 10 -8 8 x

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**Adding and Subtracting Scientific Notation**

Chemistry A

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**We just add 7.35 and 2.43, don’t worry about adding the exponents.**

Adding & Subtracting When we add or subtract with these numbers the first thing we must do is make sure the exponents are the same for both number. 7.35 x x10 2 We just add 7.35 and 2.43, don’t worry about adding the exponents. = 9.78 x10 2

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Adding & Subtracting Must make exponents the same before you continue to add or subtract. 5.40 x x 10 2 We must move the decimal to make them the same. The decimals must be aligned 5.40 x 10 3 x 10 3 6.00 x 10 3

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**If the exponents are not the same then we must make them match each other.**

We will match it to the first number if and only if the first number is between 1-10. 2.50 x x10 3 6.50 x 10 3 = .650 x10 4 2.50 x x10 4 3.15 x 10 4

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**Practice 5 x 10 -5 + 2 x10 -5 7 x 10 -5 4 x 10 -12 + 1 x10 -12**

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Subtracting Is basically the same thing, except we’re subtracting instead of adding. We still have to make sure that the exponents are the same.

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9 x x10 2 2 x 10 2 7 x x10 8 3 x10 8 4.39 x 10 5 – 2.8 x10 4 4.11 x 10 5 5.36 x – 7.40 x10 -2 4.62 x 10 -1

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**Multiplying & Dividing**

We multiply or divide the coefficients (decimal numbers) and add or subtract the exponents. 3.0 x x 2.0 x 10 2 = (3.0 x 2.0) x 10 (4+2) = 6.0 x 10 6

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