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**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 *