Lesson goals demonstrate an knowledge of multiplication by powers of 10Demonstrate an understanding of division by strength of 10Learn exactly how to build a metric counter prefix chartLearn exactly how to convert in between metric devices of measure up


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In our critical lesson, us learned how to convert in between U.S. Customary systems of measurement. In this lesson, we will learn exactly how to convert in between metric units of measurement. Most human being in the U.S. Space not familiar with the metric system. This have the right to make metric conversion a bit complicated at first. Once the terminology is learned, the process becomes a bit simpler. Metric System straightforward Units weight (Mass) Volume length
gramlitermeter
In ours table above, we have the right to see the straightforward units for the metric system. These systems are: meter - supplied for lengthgram - provided for load (mass)liter - supplied for volume as soon as we occupational with U.S. Units, us are frequently converting in between different unit names. This units room chosen based on the dimension of what\"s being described. As an example, expect we had 14,000 pounds that rice. Us could more easily to speak we had 7 tons of rice since 2000 pounds=1 ton. As soon as we work with the metric system, things are a lot easier. Instead of having different unit names, prefixes are added to the prior of the an easy unit to range up or down. These prefixes are based on powers of 10: Metric Prefixes Prefix definition
kilo1000
hecto100
deka10
basic unit1
deci1/10 or 0.1
centi1/100 or 0.01
milli1/1000 or 0.001
We have the right to place a prefix in front of the straightforward unit to range up or down: 1 kilometer=1000 meters1 dekagram=10 grams1 centiliter=0.01 liters4 hectograms=400 grams hecto way 100, 4 hectograms tells united state we have 4 x 100 or 400 grams 9 centimeters=0.09 meter centi means 0.01, 9 centimeters tells united state we have 9 x 0.01 or 0.09 meter How deserve to we change 6000 grams (g) right into kilograms (kg)? us could collection up a unit fraction and carry out the multiplication: $$6000 \\textg\\cdot \\frac1 \\textkg1000 \\textg$$ our unwanted systems (g) will cancel and we deserve to simplify: $$\\requirecancel\\cancel60006 \\cancel\\textg\\cdot \\frac1 \\textkg\\cancel1000\\cancel\\textg=6 \\textkg$$ over there is an easier method to employ once working through the metric system. Recall from our lesson top top multiplying decimals that us can conveniently multiply a number by 10 or a strength of 10 by moving the decimal allude one ar to the ideal for each zero in the power of 10. Additionally, we learned in our splitting decimals class that we can quickly divide a number by 10 or a strength of 10 by relocating the decimal point one location to the left for each zero in the power of 10. In our instance above, us realize the partnership is such the for every 1000 grams we have 1 kilogram. So to adjust between the two, we have the right to divide 6000 by 1000 or relocate the decimal point in 6000. Three locations to the left (since there space 3 zeros in 1000): 6000. » 6. » 6 This tells us 6000 grams is equal to 6 kilograms.

Metric Prefix Chart

We have the right to use a prefix chart to make metric conversion very simple. As soon as we adjust between metric units, we are basically just multiplying or splitting by the ideal power of 10. Every time we move right top top the prefix chart we are dividing by 10 and also each time we relocate left we space multiplying by 10. The prefix chart enables us to complement the activity on the chart v the motion of the decimal point in the number. Let\"s look in ~ a sample prefix chart:
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generally we use \"King Henry passed away Unexpectedly Drinking chocolate Milk\" to remember the prefix chart: King » kiloHenry » hectoDied » dekaUnexpectedly » unit (gram, meter, liter)Drinking » deciChocolate » centiMilk » milli In our over example, we went from 6000 grams come kilograms. We would recognize kilo and our straightforward unit gram top top the prefix chart:
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because we are moving from the basic unit (gram) to kilogram, we will certainly be separating by 1000 or relocating 3 places left on our prefix chart:
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as soon as we match this activity in ours number 6000, we end up with 6. This is just how we quickly adjust between 6000 grams and 6 kilograms. Let\"s look at at part examples. Example 1: change 47 centimeters to hectometers. Let\"s look at our metric prefix chart:
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We can see that relocating from centi come hecto on ours prefix chart offers us a activity of 4 devices left. Us will match this motion with our number: 47. » 0.0047 47 centimeters=0.0047 hectometers. Example 2: adjust 3.905 dekaliters come deciliters. Let\"s look in ~ our metric prefix chart:
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We have the right to see that relocating from deka to deci on our prefix chart offers us a motion of 2 systems right. Us will complement this motion with our number: 3.905 » 390.5 3.905 dekaliters=390.5 deciliters instance 3: readjust 0.591 kilograms to centigrams.

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Let\"s look in ~ our metric prefix chart:
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We can see that moving from kilo come centi on our prefix chart offers us a movement of 5 devices right. Us will complement this motion with ours number: 0.591 » 59,100 0.591 kilograms=59,100 centigrams skills Check: