1. Scientific Notation Notes
September
Scientific Notation Notes

2. Count all the stars in this picture, be as accurate as you can.

3. Scientific Notation
Scientific Notation- is a way to write a number multiplied by a power of ten.
Makes numbers easier to work with

4. Scientific Notation RULE:
#’s that are greater than 1 have a POSITIVE exponent
EXAMPLE 300,000,000
3.0 x = 300,000,000
it must be a number between 1 and 10
this is always there ( x 10 )
this is the number of places the decimal point is moved.

5. Scientific Notation
#’s that are less than 1 (0.blah) have a NEGATIVE exponent
EXAMPLE .0027
2.7 x 10 –3 =
number between 1 and 10
always there
the number of places the decimal point is moved.

6. Positive EXAMPLE 3.0 x 10 8 = 300,000,000 10 is always there
number between 1 and 10
10 is always there
the number of places the decimal point is moved.
If the starting number is positive (10 8), move the decimal to the right.
If the starting number is greater then 10 (3000,000,000), move the decimal to the left.

7. Negative EXAMPLE 2.7 x 10 –3 = 0.0027 10 always there
number between 1 and 10
10 always there
the number of places the decimal point is moved.
If the starting number is negative (10 -3), move the decimal to the left.
If the starting number is less then one (.0027), move the decimal to the right.

8. Write in scientific notation
Step by step
5,000,000,000
Write in scientific notation

9. add decimal point if It is not already there
Step by Step
5,000,000,000.0
add decimal point if It is not already there

10. Step by Step
5,000,000,000.0
Your answer needs to be a number between 1-9. In this example, the answer should be 5.

11. Step by Step
5,000,000,000.0
Count the number of places the decimal will need to be moved to get that whole number.

12. Step by Step
5, , 0 0 0,

13. Step by Step
You moved it 9 places

14. Step by step 5.
Remove the extra zeros

15. Write down the X symbol and the 10 because they are always there.
Step by step
5.0 x 10
Write down the X symbol and the 10 because they are always there.

16. Step by Step
5.0 X 10 9
Write the exponent behind the10. This number should be the number of places you moved the decimal point.

17. Step 1. multiply numbers before the X sign. Step 2. add the exponents.
Multiplication –
Step 1. multiply numbers before the X sign.
Step 2. add the exponents.
Step 3. Simplify to a number between 1-10
For Example:
(4 x 102) x (4 x 102) =
=16x104
=1.6 x10 5

18. Step 1. divide the numbers before the x sign
Division –
Step 1. divide the numbers before the x sign
Step 2. subtract exponents
Step 3. Simplify to a number between 1-10
For example:
(4 x 102) / (4x103) =
=1 x 10-1
(4 x 103) / (4x102) =
=1 x 101

19. Addition/Subtraction- exponents must be the same.
Scientific Notation
Addition/Subtraction- exponents must be the same.
If exponents aren’t same, change the numbers before the x sign to do the math.
If exponents are same, do math, keep exponent same.

20. Addition/Subtraction- exponents must be the same.
Scientific Notation
Addition/Subtraction- exponents must be the same.
If exponents aren’t same, change the numbers before the x sign to do the math.
If exponents are same, do math, keep exponent same.