1. Measurements and Units
Objectives:
The Properties of a Measurement
The Powerful Powers of Ten
The Digits: Not all of them are significant!
Units: How to navigate and stay sane

2. Measurements HOW WIDE IS THE TABLE?
MEASURE THE TABLE WIDTH AND WRITE IT DOWN. THE MEASUREMENT HAS TWO COMPONENTS:

3. Measurements HOW WIDE IS THE TABLE? NUMBER UNITS
TWO COMPONENTS: NUMBER AND UNIT. THEY BOTH MUST BE PRESENT OR THE MEASUREMENT IS USELESS. EXAMPLES: 7.0 M LONG TABLE; 3-IN WIDE BOX;

4. Measurements
POWERS OF TEN 10
100
1,000 1
0.1
0.01
0.001
10-7

5. Measurements POWERS OF TEN Q1. How many powers of Ten in 0.0001? 10 4
10-4
10 5
10-5

6. Measurements SCIENTIFIC NOTATION 326 ft 32.6 x 10 ft 3.26 x 100 ft

7. Measurements SCIENTIFIC NOTATION 326 ft 32.6 x 10 ft 3.26 x 100 ft 23
8,785
1,000,345
1.2
0.1389
0.089
0.0040
3.26 x 102 ft

8. Measurements SCIENTIFIC NOTATION 326 ft 32.6 x 10 ft 3.26 x 100 ft
Why would we want to use it?
Q2. How can we write 300 ft in scientific notation?
(a) 3.00 x 102 ft
(b) 3.0 x 102 ft
(c) 3 x 102 ft
(d) DON’T KNOW

9. Measurements SCIENTIFIC NOTATION 326 ft 32.6 x 10 ft 3.26 x 100 ft
Why would we want to use it?
Precision
Clarity

10. Measurements SIGNIFICANT DIGITS In decimal notation: 9500 2 3 4
SOME ZEROS DO NOT COUNT!
At the end of whole numbers (unless marked!)
9500 2 3 4

11. Measurements SIGNIFICANT DIGITS In decimal notation: 9500 2 3 4
SOME ZEROS DO NOT COUNT!
At the end of whole numbers (unless marked!)
9500 2 3 4
Between the decimal point and the first non-zero digit on the right 4

12. Measurements SIGNIFICANT DIGITS In decimal notation:
In scientific notation:
SOME ZEROS DO NOT COUNT!
ALL DIGITS
At the end of whole numbers (unless marked!)
9.5x103
9500 2 3 4
9.50x103
9.500x103
Between the decimal point and the first non-zero digit on the right 4

13. Measurements SIGNIFICANT DIGITS In decimal notation:
In scientific notation:
SOME ZEROS DO NOT COUNT!
ALL DIGITS
At the end of whole numbers (unless marked!)
9.5x103
9500 2 3 4
9.50x103
9.500x103
Between the decimal point and the first non-zero digit on the right 4
3.450x10-3

14. Measurements SIGNIFICANT DIGITS 23 2.3x101 8,785 8.785x103 1,000,345
1.20
1.2x100
1.389x10-2
0.089
8.9x10-2
0.0040
4.0x10-3
230
2.3x10-2
2.30x10-2

15. Measurements: Units LENGTH MASS TIME TEMPERATURE
TWO COMPONENTS: NUMBER AND UNIT. THEY BOTH MUST BE PRESENT OR THE MEASUREMENT IS USELESS. EXAMPLES: 7.0 M LONG TABLE; 3-IN WIDE BOX;

16. Measurements: Units PREFIXES SMALL BIG Centi (c) Kilo (K) Milli (m)
Mega (M)
Micro (μ)
Giga (G)
Nano (n)
Tera (T)
TWO COMPONENTS: NUMBER AND UNIT. THEY BOTH MUST BE PRESENT OR THE MEASUREMENT IS USELESS. EXAMPLES: 7.0 M LONG TABLE; 3-IN WIDE BOX;

17. Conversion of Units CONVERSION OF UNITS UNIT CONVERTER (Android)
UNITS (iPad)
TWO COMPONENTS: NUMBER AND UNIT. THEY BOTH MUST BE PRESENT OR THE MEASUREMENT IS USELESS. EXAMPLES: 7.0 M LONG TABLE; 3-IN WIDE BOX;

18. Conversion of Units CONVERSION OF UNITS 32 ft/s2 ? m/s2
2000 lbf (pound force)
? N (Newtons)
25.8 in
? mm (millimeter)
34 MWh (Megawatt-Hour)
? J (Joule)
0.3 Acre
? Yd2 (Square Yard)
$100
? GBP (British Pound)

19. Measurements: DIY P1. How many powers of ten?
(a) 10,000 (b) (c) 1
P2. Write each number in scientific notation
(a) (b) 434,234 (c)
P3. Write each number in decimal notation
(a) 8.30x103 (b) 2.21x10-2 (c) 5.5x10-4
P4. How many significant digits are there?
9.20x103 (b) (c) 5300
(d) 1,005 (e) x10-2

20. Units: DIY P1. Convert 65 mi/h into (a) km/s (b) ft/hr (c) in/s
P2. Convert 9.8 m/s2 into
(a) mi/hr2 (b) ft/s2 (c) in/s2
P3. How many significant digits are in the following measurements?
(a) 8.310x103 (b) 0.027x10-2 (c) 5.5x10-4
P4. What are the following in terms of base unit?
The palm of your hand is 25 cm
Your computer CPU speed is 2.0 GHz
My laptop has memory of 4.0 MB
The noise level is at 80 dB