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# Class Note for MATH 2303 at UH

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This 8 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 16 views.

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Date Created: 02/06/15

Math 2303 Exponents and Scienti c Notation We use exponents as a shorthand for multiplication 53 555 In this example the Sis referred to as the base and the 3 is called the exponent Generally speaking l 777717 b bbbbb n factors of b Example 1 Evaluate each A 23 1 111 5 CI llUUEIEIEIEIEI 1 Beware of negative signs and parentheses Example 2 Evaluate each A32 33 13732 143 quot39 gq L t D 1 u C 732 am nzamm am n 11 quota 0 a 0 a 1a 0 1 am a 0 m a Example 3 Evaluate each A 4345 3 LP 5 6 XXX39K39K x o D i 1 lquot 39 1 2 x E 2 a 274 4 L 7 7 L 10 G 78 539 73xyz u 8 l l L p 1 0 quoti 4 3 1 5 i 35 39l I 3 25 51 1X u 11gt3v3 i 15quot Scienti c Notation O en scientists need to work with numbers that are very large or very small Examples are 93000000 and 00000000008 All those zeros make these numbers hard to work with so scientists developed scienti c notation 93000000 93107 00000000008 80 10 Here are the rules 1 Move the decimal point so that you have a number that is bigger than or equal to 1 and smaller than or equal to 10 2 Did you need to move the decimal point to the left or to the right to accomplish step 1 3 If you moved the decimal point to the left you ll multiply by a POSITIVE power of 10 If you moved the decimal point to the right you ll multiply by a NEGATIVE power of 10 4 Multiply your number from step 1 by the power of 10 noted in step 3 Example 4 Write each using scienti c notation A 23000000 1 g 101 3 B 15687500000000 LSW lb W C 00000000045 39 D 0000275 2 11 3 gt9 39D To Write using decimal notation here are the rules 1 Look at the power to Which 10 is raised 2 If it s positive you ll move the decimal point to the right the same number of places You may have to add zeros 3 If it s negative you ll move the decimal point to the left the same number of places You may have to add zeros Example 5 WIite each using decimal notation A 34104 39 O 003 u B 21107 11 030300 J C 51289105 5 Y1 0 D 1186510 8 O ODDDDD mu You can compute using scienti c notation u 3 Example Compute1410625104 Z l 1 gt 9H0 10 W W Lquot g 0 5 15 f 1 0 1 1 0 f D fly at H gw g N u n V wr II V Z CSP 5 Skm 1x mwgrd m pd

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