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Transcript of 1-3
Course 2
1-3 Metric Measurements1-3 Metric Measurements
Course 2
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation
Course 2
1-3 Metric Measurements
Warm UpFind each value.
1. 10 2. 10
3. 100 4. 100
100 10,000
10,000 1,000,000
2 4
2 3
Course 2
1-3 Metric Measurements
Problem of the Day
Which is larger, 100 or 100 ? How do you know?
1004 is larger; the power of 100 is greater.
3 4
Course 2
1-3 Metric Measurements
Learn to identify, convert, and compare metric units.
Course 2
1-3 Metric Measurements
Course 2
1-3 Metric Measurements
Choose the most appropriate metric unit for each measurement. Justify your answer.
A. The amount of water a runner drinks eachday
Meters—The length of a boat is similar to the length of several doorways.
Liters—The amount of water a runner drinks each day is similar to the amount of water in a large water bottle.
Kilograms—The mass of a car is similar to the mass of several hundred textbooks.
Additional Example 1: Choosing the Appropriate Metric Unit
C. The mass of a car
B. The length of a boat
Course 2
1-3 Metric Measurements
Choose the most appropriate metric unit for each measurement. Justify your answer.
A. The amount of liquid in 10 teardrops
B. The mass of a pencil eraser
C. The length of 15 soccer fields
Check it Out: Example 1
Grams—The mass of a pencil eraser is similar to the mass of a few paperclips.
Milliliters—The amount of liquid in 10 teardrops is similar to the amount of liquid in several eyedroppers.
Kilometers—The length of 15 soccer fields is similar to the length of 10 football fields.
Course 2
1-3 Metric Measurements
The prefixes of metric units correlate to place values in the base-10 number system. The table shows how metric units are based on powers of 10.
You can convert units within the metric system by multiplying or dividing powers of 10. To convert to a smaller unit, you must multiply. To convert to a larger unit, you must divide.
Course 2
1-3 Metric Measurements
Move the decimal point 2 places left: 530.
Convert the measure.
530 cL to liters
530 cL = (530 ÷ 100) L100 cL = 1L, so divide by 100.
= 5.3 L
Additional Example 2A: Converting Metric Units
Course 2
1-3 Metric Measurements
Additional Example 2B: Converting Metric Units
1,070 g = (1070 1000) mg1 g = 1000 mg, so multiply by 1000.
= 1,070,000 mgMove the decimal point 3 places right: 1,070,000.
Convert the measure.
1,070 g to milligrams
Course 2
1-3 Metric Measurements
Check It Out: Example 2A
980 dm = (980 ÷ 10) m10 dm = 1m, so divide by 10.
= 98 m Move the decimal point 1 places left: 980.
Convert the measure.
980 dm to meters
Course 2
1-3 Metric Measurements
Check It Out: Example 2B
580 g = (580 100) cg1 g = 100 cg, so multiply by 100.
= 58,000 cgMove the decimal point 2 places right: 58,000.
Convert the measure.
580 g to centigrams
Course 2
1-3 Metric Measurements
Additional Example 3: Using Unit Conversions t to Make Comparisons
Elizabeth purchases one pumpkin that weighs 3 kg and another that weighs 2,150 g. Which pumpkin weighs more? Use estimation to explain why your answer makes sense.
You can convert the mass of Elizabeth’s pumpkin to grams.
1 kg = 1000 g, so multiply by 1,000.
3 kg = (3 1,000) g
Move the decimal point 3 places right: 3.000.
= 3,000 g
2,150 g is about 2 kg. Since 2 kg < 3 kg, Elizabeth’s 3 kg pumpkin weighs more.
Course 2
1-3 Metric Measurements
Check It Out: Additional Example 3
Tyesha purchases a bag of potatoes that weighs 2.5 kg and another bag that weighs 3,850 g. Which bag weighs more? Use estimation to explain why your answer makes sense.You can convert the mass of Tyesha’s bag to grams.
1 kg = 1000 g, so multiply by 1,000.
2.5 kg = (2.5 x 1,000) g
Move the decimal point 3 places right: 2.500.
= 2,500 g
3,850 g is about 4 kg. Since 4 kg > 2.5 kg, Tyesha’s 3,850 g bag weighs more.
Course 2
1-3 Metric Measurements
Lesson QuizConvert each measure.
1. 1,270 g to kilograms
2. 890 cm to millimeters
3. 750 mL to liter
4. 122 km to meters
5. 800 mg to grams
1.27 kg
8,900 mm
0.75 L
122,000 m
0.8 g
6. Rosa walks 1.5 km to the library. Meghan walks 2,200 m to the library. Who walks farther? Use estimation to explain why your answer makes sense. Meghan walks farther. 2,200 m = 2.2 km