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Use to Dimensional Analysis to Solve:

1. 2500 m = _____ km

2. 7.1 hr = _____ min

3. 460 µL = _____ L

4.83 kg = _____ g

Aug 27, 2018

#1
+391
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Problem 1: We have K H D B D C M(Kilo, Hecto, Deca, Basic, Deci, Centi, and Mili)

To get from meters to kilometers, we have to move the decimal point $$3$$ points to the left. This will give us $$2.5$$ km.

Problem 2: There are $$60$$ minutes in an hour, and there are $$7.1$$ hours, so we need to multiply $$60 \times 7.1 = 426$$ min.

Problem 3: To convert microliters to liters we have to move the decimal point $$6$$ times to the left. This gives us $$0.00046$$ L.

Problem 4: To convert kilograms to grams, we do the exact opposite of what we did in the first problem. We move the decimal point $$3$$ times to the right. This will give us $$4830$$ g.

- Daisy

Aug 27, 2018
#2
+102422
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Using dimensional analysis

1.  2500 m   x   1 km  / 1000m     [cancel  m ] =  [2500 * 1  /1000]km   =  2.5 km

2. 7.1 hr  x  60min / 1 hr   [cancel hr ] =  [7.1 * 60 / 1 ] min  = 426 min

3 . 460 microliters x  1 L  / 1000000 microliters   [ cancel microliters ] =

[ 460 * 1 / 1000000]  mkicroliters  = .00046  L

4.  4.83 kg  x   1000g / 1 kg   [ cancel kg] =  4.83 x 1000/1 =  4830  g

Aug 27, 2018