SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.

Scientific Notation A number is expressed in scientific notation when it is in the form a x 10 n where a is from 1 to 9 and n is an integer 23 X 10 5 is not in proper scientific notation. Why?

Soooo 137,000,000 can be rewritten as 1.37 X 10 8

Now You Try Using scientific notation, rewrite the following numbers. 347, X ,000, X , X 10 4

Try These 4,000 4 X X , X ,123, ,000, X 10 8

Your Turn Using Scientific Notation, rewrite the following numbers X X X 10 -5

More Examples 1) X ) X ) X ) X ) X 10 -4

Using your calculator Express 4.58 x 10 6 in decimal notation. 4,580,000 On the graphing calculator, scientific notation is done with the button x 10 6 is typed

Use a calculator to evaluate: 4.5 x x Type You must include parentheses if you don’t use those buttons!! (4.5 x 10 -5) (1.6 x 10 -2) Write in scientific notation x 10 -3

Use a calculator to evaluate: 7.2 x x 10 2 On the calculator, the answer is: 6.E -11 The answer in scientific notation is 6 x The answer in decimal notation is

Use a calculator to evaluate (0.0042)(330,000). On the calculator, the answer is 1386 The answer in decimal notation is The answer in scientific notation is x 10 3

Use a calculator to evaluate (3,600,000,000)(23). On the calculator, the answer is: 8.28 E +10 The answer in scientific notation is 8.28 x The answer in decimal notation is 82,800,000,000

Write in PROPER scientific notation. (Notice the number is not between 1 and 10) x x x 10 4 on calculator: x 10 2