1. Practice: a) 27.68 cm –14.369 cm = b) 6.54 m x 0.37 m =
c) m2 ¸ m =

2. Practice:
Raw Math Value
Sig. Fig. Value
a) cm – cm =  13.31
b) 6.54 m x 0.37 m =  2.4
c) 40.8 m2 ¸ m =  8.08

3. Warm-Up Convert 97.0 miles to km. Convert 86 µL to ML.
Convert 980 fluid ounces to kL. (Hint: there are 29.6 mL in 1 fl. oz)

4. 1. Convert 97.0 miles to km.
97.0 mi km =  mi km

5. 2. Convert 86 µL to ML.
86.0 µL 10-6 ML = µL ML

6. 3. Convert 980 fluid ounces to kL.
980 floz mL kL = kL fl oz mL

7. Monday, August 27th or Tuesday, Aug 28th, 2018
Scientific Notation
Monday, August 27th or Tuesday, Aug 28th, 2018

8. Scientific Notation
Scientific notation is way of writing numbers that are too big or too small to be conveniently written in decimal form
Think about our last worksheet, measurements and conversions. Wasn’t it exhausting writing all those zeroes? Didn’t some of you lose points because you forgot a zero?

9. Rules for Scientific Notation
To be in proper scientific notation the number must be written with
* a number between 1 and 10
* and multiplied by a power of ten
23 X is not in proper scientific notation. Why?

10. 1. Move the decimal to the right of the first non-zero number.
To write a number in scientific notation:
1. Move the decimal to the right of the first non-zero number.
2. Count how many places the decimal had to be moved.

11. To write a number in scientific notation:
3. If the you started with was small, the exponent is negative.
4. If the you started with was big, the exponent is positive.

12. 60,000 = 6 x 104
98,000,000 = 9.8 x 107
8657 = x 103
250 =
36,700 =
99,000,000,000 =
BIG Examples!
10 x 10 x 10 x 10 x 10 x 10 (1 with 6 zeroes) (“move the decimal point 6 over”).

13. 10 x 10 x 10 x 10 x 10 x 10 (1 with 6 zeroes) (“move the decimal point 6 over”).

14. Convert each from scientific notation into standard/long form or vice versa
4, X X ,000, x 105
Try These

15. Convert each from scientific notation into standard/long form or vice versa
4x x
Answers

16. 0.02 = 2 x = 6.5 x = 7.08 x = = =
small Examples!
10 x 10 x 10 x 10 x 10 x 10 (1 with 6 zeroes) (“move the decimal point 6 over”).

17. Why does a Negative Exponent give us a small number?
10000 = 10 x 10 x 10 x 10 = 104
= 10 x 10 x 10 = 103
= 10 x 10 = 102
= 101
= 100
Do you see a pattern?

18. Convert each from scientific notation into standard/long form or vice versa
X x 10-6
Try These

19. Convert each from scientific notation into standard/long form or vice versa
8.73x x x
Answers

20. Convert each from scientific notation into standard/long form or vice versa
10, x x ,000, x x x ,000,000,

21. ANSWERS
1.0003x
x108 1x
1x x10-3

22. Sample Problem: Multiply (3.2 x 10-3) (2.1 x 105)
Multiplication
When multiplying numbers written in scientific notation…..multiply the first factors and add the exponents.
Sample Problem: Multiply (3.2 x 10-3) (2.1 x 105)
Solution: Multiply 3.2 x Add the exponents
Answer: 6.7 x 102

23. Sample Problem: Divide (6.4 x 106) by (1.7 x 102)
Division
Divide the numerator by the denominator. Subtract the exponent in the denominator from the exponent in the numerator.
Sample Problem: Divide (6.4 x 106) by (1.7 x 102)
Solution: Divide 6.4 by 1.7. Subtract the exponents 6 - 2
Answer: 3.8 x 104