Section 5.1
1. When writing numbers using scientific notation, numbers greater than 1 have positive exponents and
numbers less than 1 have negative exponents.
2. Change the following into scientific notation:
a) 8,475,000 8.475 x 10
6
b) 0.0000754 c) 1,000 d) 0.35724
7.54 x 10-5
1 x 10
3
3.5724 x 10
-1
3. Complete the following table:
English Unit
Length
Volume
Yard, inch, or foot
Quart
Metric Unit
Meter
Liter
Mass Pound Kilogram
4. How many millimeters are in 50 cm? 500 mm
5. Which is larger, a liter or a quart? Liter
SECTION 5.2 REVIEW QUESTIONS
1. Why are all measurements uncertain?
All measurements are limited by their measurement device. Since the devices are never fully certain, the measurements made with the devices can never be fully certain.
2. What are the 3 types of zeros in a number? Which type is always significant? Which type is never significant? Which type is sometimes significant?
1. Leading zeros - never count
0.0025 2 significant figures
2. Captive zeros - always count
1.008 4 significant figures
3. Trailing zeros - count only if the number is written with a decimal point
100 1 significant figure
100. 3 significant figures
120.0 4 significant figures

3. In the following numbers, mark each significant zero with an arrow. (significant zeros are underlined) e) 50.0 a) 0.003042 b) 1.4030 f) 10.47020 c) 1000 d) 0.060 g) 250.
4. How many significant figures are in each number below?
a) 0.003042 4 e) 50.0 3 b) 1.4030 5 f) 10.47020 7 c) 1000 1 g) 250. 3 d) 0.060 2
5. Perform the following calculations and round the answer to the correct number of significant digits a) 3.2 + 4.17 + 1.243 b) 1.3478 - 0.02
8.6
1.33 c) 4.6 x 3.435 d) (4.2 x 10 -5 ) x 3.74 / 6.783
16
2.3 x 10
-5 e) 50 - 0.00473 50
SECTION 5.3 REVIEW QUESTIONS
1. What is an equivalence statement? How many conversion factors can be created from 1 equivalence statement?
An equivalence statement is an expression that relates two different units. 2 conversion factors can be made from 1 equivalence statement.
2. Complete the following conversions. Show all work and conversion factors.
a) 37 cm x ________________ = 15 in
b) 4.2 qt. x ________________ = 4.0 L
c) 2.2 kg x ________________ = 4.9 lbs.

d) 3.5 mi x ________________ = 5600 m
3. You run a 100-yd dash in 9.8 seconds. What is your speed in miles per hour?
100 yd 60 s 60 min 1mi. =21 mi
9.8 s 1 min 1 hr 1760 yd hr
4. Convert the following temperatures: a) 30.

C to

F 86

F b) 72

F to K 295 K c) 14 K to
 d) 342 K to
C -259

F 156


C
F
5. A certain liquid has a density of 0.79 g/mL. What volume of this liquid has a mass of 15.0 g? 19 ml