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use the information in the table to answer questions 1 - 5. | si prefix…

Question

use the information in the table to answer questions 1 - 5.

si prefixmeaning
hecto-hundred (100)
deka-ten (10)
deci-tenth (0.10)
centi-hundredth (0.01)
milli-thousandth (0.001)
  1. how many meters are in one kilometer?
  2. what part of a liter is one milliliter?
  3. how many grams are in two dekagrams?
  4. if one gram of water has a volume of one milliliter, what would the mass of one liter of water be in kilograms?
  5. what part of a meter is a decimeter?

circle the larger unit in each pair of units.

  1. millimeter, kilometer 2. decimeter, dekameter 3. hectogram, decigram
  2. centimeter, millimeter 5. hectogram, kilogram
  3. 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...

  1. olympic games involve an activity called the decathlon. how many events make up the decathlon?
  2. how many years make up a decade?
  3. how many years make up a century?
  4. what part of a second do you think a millisecond is?
  5. one cereal bar has a mass of 37 g. what is the mass of 6 cereal bars? more than or less than 1 kg?
  6. a dollar bill is 15.6 cm long. 200 dollar bills laid end to end, would cover what distance in meters?
  7. weather satellites orbit earth at an altitude of 1,400,000 meters. what is this altitude in kilometers?
  8. 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

  1. 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

  1. will a tablecloth that is 155 cm long cover a table that is 1.6 m long?

Explanation:

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.

Answer:

  1. 1000 meters
  2. $\frac{1}{1000}$
  3. 20 grams
  4. 1 kilogram
  5. $\frac{1}{10}$
  6. Circle kilometer, dekameter, hectogram, centimeter, kilogram
  7. f. 1, b. 2, g. 3, c. 4, d. 5, e. 6, a. 7
  8. 10 events
  9. 10 years
  10. 100 years
  11. $\frac{1}{1000}$
  12. 222 g, less than 1 kg
  13. 31.2 m
  14. 1400 kilometers
  15. a) liter, b) milliliter, c) liter, d) liter
  16. a) 5 mm, b) 5 m, c) 4500 km, d) 75 cm
  17. No