Use to Dimensional Analysis to Solve:
1. 2500 m = _____ km
2. 7.1 hr = _____ min
3. 460 µL = _____ L
4.83 kg = _____ g
+397 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
+128407 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
