QUESTION IMAGE
Question
use the information in the table to answer questions 1 - 5.
| si prefix | meaning |
|---|---|
| hecto- | hundred (100) |
| deka- | ten (10) |
| deci- | tenth (0.10) |
| centi- | hundredth (0.01) |
| milli- | thousandth (0.001) |
- how many meters are in one kilometer?
- what part of a liter is one milliliter?
- how many grams are in two dekagrams?
- if one gram of water has a volume of one milliliter, what would the mass of one liter of water be in kilograms?
- what part of a meter is a decimeter?
circle the larger unit in each pair of units.
- millimeter, kilometer 2. decimeter, dekameter 3. hectogram, decigram
- centimeter, millimeter 5. hectogram, kilogram
- in si, the unit of length is a meter. arrange the following units of measurement in the correct order from smallest to largest. write the number 1 (smallest) through 7 (largest) in the spaces provided.
a. kilometer b. centimeter c. meter d. decameter
e. hectometer f. millimeter g. decimeter
use si prefixes to answer the following questions...
- olympic games involve an activity called the decathlon. how many events make up the decathlon?
- how many years make up a decade?
- how many years make up a century?
- what part of a second do you think a millisecond is?
- one cereal bar has a mass of 37 g. what is the mass of 6 cereal bars? more than or less than 1 kg?
- a dollar bill is 15.6 cm long. 200 dollar bills laid end to end, would cover what distance in meters?
- weather satellites orbit earth at an altitude of 1,400,000 meters. what is this altitude in kilometers?
- which unit would you use to measure the capacity? write milliliter or liter.
a) a bucket b) a thimble c) a water storage tank d) a carton of juice
- circle the more reasonable measure:
a) length of an ant 5mm or 5cm
b) length of an automobile 5 m or 50 m
c) distance from ny to la 450 km or 4,500 km
d) height of a dining table 75 mm or 75 cm
- will a tablecloth that is 155 cm long cover a table that is 1.6 m long?
Step1: Recall SI - prefix conversion
From the table, kilo - means 1000. So 1 kilometer = 1000 meters.
Step2: Determine part of a liter for milliliter
Milli - means one - thousandth (0.001). So 1 milliliter is $\frac{1}{1000}$ of a liter.
Step3: Convert dekagrams to grams
Deka - means 10. So 1 dekagram = 10 grams, and 2 dekagrams = 2×10 = 20 grams.
Step4: Calculate mass of 1 liter of water
1 liter = 1000 milliliters. If 1 gram of water has a volume of 1 milliliter, then the mass of 1 liter of water is 1000 grams. Since 1 kilogram = 1000 grams, the mass of 1 liter of water is 1 kilogram.
Step5: Find part of a meter for decimeter
Deci - means one - tenth (0.1). So 1 decimeter is $\frac{1}{10}$ of a meter.
Step6: Circle larger unit
- For millimeter and kilometer, kilometer is larger.
- For decimeter and dekameter, dekameter is larger.
- For hectogram and decigram, hectogram is larger.
- For centimeter and millimeter, centimeter is larger.
- For hectogram and kilogram, kilogram is larger.
Step7: Arrange length units
f. millimeter (1), b. centimeter (2), g. decimeter (3), c. meter (4), d. decameter (5), e. hectometer (6), a. kilometer (7)
Step8: Decathlon events
Deka - means 10. So the decathlon has 10 events.
Step9: Years in a decade
Deka - means 10. So a decade has 10 years.
Step10: Years in a century
Centi - means 100. So a century has 100 years.
Step11: Part of a second for millisecond
Milli - means one - thousandth (0.001). So 1 millisecond is $\frac{1}{1000}$ of a second.
Step12: Mass of 6 cereal bars
One cereal bar has a mass of 37 g. The mass of 6 cereal bars is 37×6 = 222 g. Since 1 kg = 1000 g, 222 g is less than 1 kg.
Step13: Distance of 200 dollar - bills
A dollar bill is 15.6 cm long. 200 dollar bills laid end - to - end have a length of 15.6×200 = 3120 cm. Since 1 m = 100 cm, 3120 cm = 3120÷100 = 31.2 m.
Step14: Convert satellite altitude
1 kilometer = 1000 meters. So 1400000 meters = 1400000÷1000 = 1400 kilometers.
Step15: Choose capacity units
a) a bucket: liter
b) a thimble: milliliter
c) a water storage tank: liter
d) a carton of juice: liter
Step16: Choose reasonable measure
a) length of an ant: 5 mm
b) length of an automobile: 5 m
c) distance from NY to LA: 4500 km
d) height of a dining table: 75 cm
Step17: Compare tablecloth and table length
1.6 m = 1.6×100 = 160 cm. Since 155 cm < 160 cm, the 155 - cm long tablecloth will not cover the 1.6 - m long table.
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- 1000 meters
- $\frac{1}{1000}$
- 20 grams
- 1 kilogram
- $\frac{1}{10}$
- Circle kilometer, dekameter, hectogram, centimeter, kilogram
- f. 1, b. 2, g. 3, c. 4, d. 5, e. 6, a. 7
- 10 events
- 10 years
- 100 years
- $\frac{1}{1000}$
- 222 g, less than 1 kg
- 31.2 m
- 1400 kilometers
- a) liter, b) milliliter, c) liter, d) liter
- a) 5 mm, b) 5 m, c) 4500 km, d) 75 cm
- No