cm15 - gets smaller ◆ Change 2.99 x 10 8 ◆ Change 4.87...

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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 0.000000000000000000000000000911 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 = 6.02 x 10 23 0.000000000000000000000000000911 g = 9.11 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 3240000 use that as the power of 10 3.24 x 10 6
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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 0.00045 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
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Unformatted text preview: gets smaller ◆ Change 2.99 x 10 8 ◆ Change 4.87 x 10-3 Using your calculator ◆ EE and EXP button stand for x 10 to the ◆ 4.5 x 10-4 ◆ push 4.5 ◆ push either EXP or EE ◆ push 4 +/- or -4 ◆ see what your display says. 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 ◆ 10 6 x 10-4 ◆ When you divide you subtract exponents. 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 10 6 ) ◆ (6.8 x 10 -6 ) -(3.2 x 10-5 ) ◆ Remember- standard form starts with a number between 1 and 10 to start. PEMDAS ( 29 ( 29 ( 29 3 3 4 2.4 10 4.8 10 1.2 10-× × = × ( 29 ( 29 ( 29 3 4 3 4.8 10 1.2 10 2.4 10-× = × × PEMDAS ( 29 ( 29 ( 29 3 3 4 2.4 10 4.8 10 1.2 10-× × = × ( 29 ( 29 ( 29 3 4 3 4.8 10 1.2 10 2.4 10-× = × ×...
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This document was uploaded on 02/06/2011.

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cm15 - gets smaller ◆ Change 2.99 x 10 8 ◆ Change 4.87...

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