1. Quantitative Measurements
Numerical
Units
Examples: cm, 35° C,
2.5 g/cm3

2. Scientific Notation Used because of very small and very large numbers
M x 10n
M ≥ 1 and < 10
n is a whole number
5400 = 5.4 x 103
= 1.7 x 10-3

3. Rules Move decimal to left- exponent more positive
Move decimal to right- exponent more negative
Numbers greater then 10- exponent positive
Numbers less than 0- exponent negative

4. Addition/ Subtraction
Must make exponents the same
Add or subtract numbers & keep same exponent
6.7 x x 103
6.7 x 104
x 104
7.0 x 104

5. Multiplication Multiply numbers and add exponents
(2 x 102) (4 x 103) =
8 x 105

6. Division Divide numbers and subtract exponents (6 x 105) /(3 x 102) =

7. Practice 1. 0.000137 in scientific notation 1.37 x 10-4

8. Multiply (3.9 x 107) (1.2 x 102)=
4.7 x 109
Divide (8.4 x 10-3) / (4.7 x 104)=
1.8 x 10-7

9. Add
(2.3 x 102)+(1.9 x 101) +(1.7 x 103)
x 103
x 103
x 103
x 103

10. Subtract
(3.1 x 10-3) –(8.5 x 10-2)
0.31 x 10-2
x 10-2
x 10-2