Math  /  Numbers & Operations

QuestionIMPORTANT NOTICE! STOP
We have used the same prefixes for length, volume, and weight. The prefix kilo- means 1,000. A kilometer =1,000=1,000 meters. A kiloliter =1,000=1,000 liters. A kilogram =1,000=1,000 grams . The prefix centi-means 1100\frac{1}{100} or 0.01 . A centimeter =1100=\frac{1}{100} of a meter, or 100 centimeters =1=1 meter. The prefix milli-means 11,000\frac{1}{1,000} or 0.001 . A millimeter =11,000=\frac{1}{1,000} of a meter, or 1,000 millimeters =1=1 meter. 1,000 milliliters = 1 liter 1,000 milligrams =1=1 gram
Using the information about prefixes from the box above, write the correct unit of measure on each line. In the first column, write the word; in the second column, write the abbreviation. (1) 5 liters =500=500 \qquad (6) 3,000 g=33,000 \mathrm{~g}=3 \qquad (2) 6 grams =6,000=6,000 \qquad (7) 4 L=4,0004 \mathrm{~L}=4,000 \qquad (3) 2 meters =200=200 \qquad (8) 9 m=9,0009 \mathrm{~m}=9,000 \qquad (4) 2,000 meters =2=2 \qquad (9) 3,000 L=33,000 \mathrm{~L}=3 \qquad (5) 7 meters =7,000=7,000 \qquad (10) 8 m=8008 \mathrm{~m}=800 \qquad When changing from a larger unit of measure to a smaller unit of measure, the prefix tells us if we should multiply by 100 or 1,000 . Fill in the blanks with the correct measurement. (11) 7 kilometers = \qquad meters (12) 5 meters = \qquad centimeters (13) 13 grams = \qquad milligrams (14) 4 kiloliters = \qquad liters (15) 28 meters = \qquad millimeters (20) 56 g=56 \mathrm{~g}= \qquad cm (16) 9 m=9 \mathrm{~m}= \qquad (17) 75 L=75 \mathrm{~L}= \qquad mL (18) 3 kg=3 \mathrm{~kg}= \qquad g (19) 2 g=2 \mathrm{~g}= \qquad mg

Studdy Solution

STEP 1

1. The prefixes kilo-, centi-, and milli- are used to convert between units of measure.
2. Kilo- means 1,000 times the base unit.
3. Centi- means 1100\frac{1}{100} of the base unit.
4. Milli- means 11,000\frac{1}{1,000} of the base unit.

STEP 2

1. Convert larger units to smaller units using the given prefixes.
2. Fill in the blanks with the correct measurement units and their abbreviations.

STEP 3

Convert 5 liters to milliliters.
Since 1 liter = 1,000 milliliters, then: 5 liters=5×1,000 milliliters=5,000 milliliters 5 \text{ liters} = 5 \times 1,000 \text{ milliliters} = 5,000 \text{ milliliters}

STEP 4

Convert 6 grams to milligrams.
Since 1 gram = 1,000 milligrams, then: 6 grams=6×1,000 milligrams=6,000 milligrams 6 \text{ grams} = 6 \times 1,000 \text{ milligrams} = 6,000 \text{ milligrams}

STEP 5

Convert 2 meters to centimeters.
Since 1 meter = 100 centimeters, then: 2 meters=2×100 centimeters=200 centimeters 2 \text{ meters} = 2 \times 100 \text{ centimeters} = 200 \text{ centimeters}

STEP 6

Convert 2,000 meters to kilometers.
Since 1 kilometer = 1,000 meters, then: 2,000 meters=2,0001,000 kilometers=2 kilometers 2,000 \text{ meters} = \frac{2,000}{1,000} \text{ kilometers} = 2 \text{ kilometers}

STEP 7

Convert 7 meters to millimeters.
Since 1 meter = 1,000 millimeters, then: 7 meters=7×1,000 millimeters=7,000 millimeters 7 \text{ meters} = 7 \times 1,000 \text{ millimeters} = 7,000 \text{ millimeters}

STEP 8

Convert 3,000 grams to kilograms.
Since 1 kilogram = 1,000 grams, then: 3,000 grams=3,0001,000 kilograms=3 kilograms 3,000 \text{ grams} = \frac{3,000}{1,000} \text{ kilograms} = 3 \text{ kilograms}

STEP 9

Convert 4 liters to milliliters.
Since 1 liter = 1,000 milliliters, then: 4 liters=4×1,000 milliliters=4,000 milliliters 4 \text{ liters} = 4 \times 1,000 \text{ milliliters} = 4,000 \text{ milliliters}

STEP 10

Convert 9 meters to millimeters.
Since 1 meter = 1,000 millimeters, then: 9 meters=9×1,000 millimeters=9,000 millimeters 9 \text{ meters} = 9 \times 1,000 \text{ millimeters} = 9,000 \text{ millimeters}

STEP 11

Convert 3,000 liters to kiloliters.
Since 1 kiloliter = 1,000 liters, then: 3,000 liters=3,0001,000 kiloliters=3 kiloliters 3,000 \text{ liters} = \frac{3,000}{1,000} \text{ kiloliters} = 3 \text{ kiloliters}

STEP 12

Convert 8 meters to centimeters.
Since 1 meter = 100 centimeters, then: 8 meters=8×100 centimeters=800 centimeters 8 \text{ meters} = 8 \times 100 \text{ centimeters} = 800 \text{ centimeters}

STEP 13

Convert 7 kilometers to meters.
Since 1 kilometer = 1,000 meters, then: 7 kilometers=7×1,000 meters=7,000 meters 7 \text{ kilometers} = 7 \times 1,000 \text{ meters} = 7,000 \text{ meters}

STEP 14

Convert 5 meters to centimeters.
Since 1 meter = 100 centimeters, then: 5 meters=5×100 centimeters=500 centimeters 5 \text{ meters} = 5 \times 100 \text{ centimeters} = 500 \text{ centimeters}

STEP 15

Convert 13 grams to milligrams.
Since 1 gram = 1,000 milligrams, then: 13 grams=13×1,000 milligrams=13,000 milligrams 13 \text{ grams} = 13 \times 1,000 \text{ milligrams} = 13,000 \text{ milligrams}

STEP 16

Convert 4 kiloliters to liters.
Since 1 kiloliter = 1,000 liters, then: 4 kiloliters=4×1,000 liters=4,000 liters 4 \text{ kiloliters} = 4 \times 1,000 \text{ liters} = 4,000 \text{ liters}

STEP 17

Convert 28 meters to millimeters.
Since 1 meter = 1,000 millimeters, then: 28 meters=28×1,000 millimeters=28,000 millimeters 28 \text{ meters} = 28 \times 1,000 \text{ millimeters} = 28,000 \text{ millimeters}

STEP 18

Convert 56 grams to milligrams.
Since 1 gram = 1,000 milligrams, then: 56 grams=56×1,000 milligrams=56,000 milligrams 56 \text{ grams} = 56 \times 1,000 \text{ milligrams} = 56,000 \text{ milligrams}

STEP 19

Convert 9 meters to centimeters.
Since 1 meter = 100 centimeters, then: 9 meters=9×100 centimeters=900 centimeters 9 \text{ meters} = 9 \times 100 \text{ centimeters} = 900 \text{ centimeters}

STEP 20

Convert 75 liters to milliliters.
Since 1 liter = 1,000 milliliters, then: 75 liters=75×1,000 milliliters=75,000 milliliters 75 \text{ liters} = 75 \times 1,000 \text{ milliliters} = 75,000 \text{ milliliters}

STEP 21

Convert 3 kilograms to grams.
Since 1 kilogram = 1,000 grams, then: 3 kilograms=3×1,000 grams=3,000 grams 3 \text{ kilograms} = 3 \times 1,000 \text{ grams} = 3,000 \text{ grams}

STEP 22

Convert 2 grams to milligrams.
Since 1 gram = 1,000 milligrams, then: 2 grams=2×1,000 milligrams=2,000 milligrams 2 \text{ grams} = 2 \times 1,000 \text{ milligrams} = 2,000 \text{ milligrams}

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