Ch Test this ??? Homework
Get papers, sit down, get out homework and quietly work on bellringer 1.) 2^4 + 3^3 – 4^2 = 2.) t.t.t.t.4.4.x.x.x.s.s.s.s =
Ch 2-8 Scientific Notation
Scientific Notation The first factor is greater than or equal to 1, but less than 10 and the second factor is a power of 10. A short-hand way of writing large numbers without writing all of the zeros.
A number written using digits and place value . Standard Form A number written using digits and place value .
Tell whether or not the following numbers are in scientific notation. a.) .45 * 103 b.) 7.15 * 10-5 c.) 56 * 102 Yes because 7.15 is greater than or equal to 1 but less than 10 No because 56 is greater than 10 No because .45 is less than 1
The Distance From the Sun to the Earth 93,000,000
Step 1 93,000,000 = 9.3000000 Move decimal left Leave only one number in front of decimal (so the number is greater than or equal to 1 and less than 10) 93,000,000 = 9.3000000
Step 2 Write number without zeros 93,000,000 = 9.3
Step 3 7 93,000,000 = 9.3 x 10 Count how many places you moved decimal Make that your power of ten 93,000,000 = 9.3 x 10 7
The power of ten is 7 because the decimal moved 7 places. 7 93,000,000 = 9.3 x 10 7
93,000,000 --- Standard Form 9.3 x 107 --- Scientific Notation
Practice Problem -----> -----> -----> -----> Write in scientific notation. Decide the power of ten. 98,500,000 = 9.85 x 10? 64,100,000,000 = 6.41 x 10? 279,000,000 = 2.79 x 10? 4,200,000 = 4.2 x 10? 7 -----> 10 -----> 8 -----> -----> 6
Express 0.0000000902 in scientific notation. Where would the decimal go to make the number be between 1 and 10? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative. 9.02 x 10-8
More Practice Problems On these, decide where the decimal will be moved. 7.34 0.0000000734 = ______ x 10-8 0.000000000087 = ______x 10-11 0.0000000009 = _____ x 10-10 8.7 9
Complete Practice Problems Write in scientific notation. 0.0005170 7,200,000 802,000,000,000 1) 5.17 x 10-4 2) 7.2 x 106 3) 8.02 x 1011
Scientific Notation to Standard Form Move the decimal to the right 3.4 x 105 in scientific notation 3.40000 --- move the decimal to the right if exponent is positive ---> 340,000 in standard form
Scientific Notation to Standard Form Move the decimal to the left 3.4 x 10-5 in scientific notation 3.40000 --- move the decimal to the left if exponent is positive ---> 0.000034 in standard form
Move the decimal to the right or left? Write in Standard Form Move the decimal to the right or left? 6.27 x 10-6 9.01 x 104 0.000006270 90,100
Homework Pg 94 6-34 skip 26 evens only Answers only no work to show
Bellringer: Pg 42 of notes problem number 10 sit down get out homeworks put notes in order pages 27-44 quietly work on bellringer Bellringer: Pg 42 of notes problem number 10
Even More Practice Below is a list of links to games and activities all having to do with scientific notation. http://www.aaamath.com/dec71i-dec2sci.html http://janus.astro.umd.edu/cgi-bin/astro/scinote.pl http://www.sciencejoywagon.com/physicszone/lesson/00genral/dectosci.htm