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**and really small numbers**

Scientific Notation Really large, and really small numbers

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**Why? Chemistry often deals with very large and very small numbers.**

There are 602,000,000,000,000,000,000,000 molecules of water in 18 mL one electron has a mass of g We need a shorter way of writing these numbers

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**Standard Exponential Form**

another name for scientific notation. consists of two parts a number between 1 and 10 multiplied by 10, raised to some power 602,000,000,000,000,000,000,000 = x 1023 g = x 10-28

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**Putting a number into scientific notation**

determine how many times you have to move the decimal place to make it into a number between 1 and 10 use that as the power of 10 3.24 x 106

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**What is the number is smaller?**

if you make the number bigger by moving the decimal point, make the exponent smaller and visa-versa 4.5 x 10-4

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**Getting back to original number**

Move the decimal point the same number of times as the exponent If the exponent gets bigger the number gets smaller Change 2.99 x 108 Change 4.87 x 10-3

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**Using your calculator EE and EXP button stand for x 10 to the**

push 4.5 push either EXP or EE push 4 +/- or -4 see what your display says.

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**Practice these problems**

(4.8 x 10 5 ) x (6.7 x 10-6) (6.8 x 10 -6) (3.2 x 10 4) Remember when you multiply you add exponents 106 x 10-4 When you divide you subtract exponents.

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**Adding and Subtracting**

You can’t add or subtract numbers until they are to the same power of ten. Your calculator does this automatically. (4.8 x 10 5 ) + (6.7 x 106) (6.8 x 10 -6) - (3.2 x 10-5) Remember- standard form starts with a number between 1 and 10 to start.

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PEMDAS

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PEMDAS

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To add numbers in scientific notation: 1) Add the constants 2) Keep the exponent the same Example: (2.1 x 10 5 ) + (3.2 x 10 5 ) = (2.1 + 3.2) x 10.

To add numbers in scientific notation: 1) Add the constants 2) Keep the exponent the same Example: (2.1 x 10 5 ) + (3.2 x 10 5 ) = (2.1 + 3.2) x 10.

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