1-3 - TeacherWeb

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1-3
Measurements
1-3 Metric
Metric
Measurements
Warm Up
Problem of the Day
Lesson Presentation
Course 2
1-3 Metric Measurements
Warm Up
Find each value.
1. 10 2
3. 100
Course 2
100
2
10,000
2. 10 4
4. 100
10,000
3
1,000,000
1-3 Metric Measurements
Problem of the Day
3
4
Which is larger, 100 or 100 ? How do
you know?
1004 is larger; the power of 100 is
greater.
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
Additional Example 1: Choosing the Appropriate
Metric Unit
Choose the most appropriate metric unit for
each measurement. Justify your answer.
A. The amount of water a runner drinks each
day
Liters—The amount of water a runner drinks each
day is similar to the amount of water in a large
water bottle.
B. The length of a boat
Meters—The length of a boat is similar to the
length of several doorways.
C. The mass of a car
Kilograms—The mass of a car is similar to the
mass of several hundred textbooks.
Course 2
1-3 Metric Measurements
Check it Out: Example 1
Choose the most appropriate metric unit for
each measurement. Justify your answer.
A. The amount of liquid in 10 teardrops
Milliliters—The amount of liquid in 10 teardrops
is similar to the amount of liquid in several
eyedroppers.
B. The mass of a pencil eraser
Grams—The mass of a pencil eraser is
similar to the mass of a few paperclips.
C. The length of 15 soccer fields
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
Additional Example 2A: Converting Metric Units
Convert the measure.
530 cL to liters
530 cL = (530 ÷ 100) L
= 5.3 L
Course 2
100 cL = 1L, so divide
by 100.
Move the decimal point
2 places left: 530.
1-3 Metric Measurements
Additional Example 2B: Converting Metric Units
Convert the measure.
1,070 g to milligrams
1,070 g = (1070  1000) mg
= 1,070,000 mg
Course 2
1 g = 1000 mg, so
multiply by 1000.
Move the decimal
point 3 places right:
1,070,000.
1-3 Metric Measurements
Check It Out: Example 2A
Convert the measure.
980 dm to meters
980 dm = (980 ÷ 10) m
= 98 m
Course 2
10 dm = 1m, so divide
by 10.
Move the decimal point
1 places left: 980.
1-3 Metric Measurements
Check It Out: Example 2B
Convert the measure.
580 g to centigrams
580 g = (580  100) cg
= 58,000 cg
Course 2
1 g = 100 cg, so
multiply by 100.
Move the decimal
point 2 places right:
58,000.
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
3 kg = (3  1,000) g
by 1,000.
Move the decimal point 3
= 3,000 g
places right: 3.000.
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
2.5 kg = (2.5 x 1,000) g
by 1,000.
Move the decimal point 3
= 2,500 g
places right: 2.500.
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 Quiz
Convert each measure.
1. 1,270 g to kilograms
1.27 kg
2. 890 cm to millimeters
8,900 mm
3. 750 mL to liter
0.75 L
4. 122 km to meters
122,000 m
5. 800 mg to grams
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
Course 2
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