Download Metric Conversions and Body Mass Index - Prof. Sheldon H. Dan and more Assignments Elementary Mathematics in PDF only on Docsity!
Name___________________
DSPM 0700 HOMEWORK (ASSIGNMENT 8, SECTIONS 4-1 AND 4-3)
Change to the following:
- 23 dkm = __________________ mm
To change from one metric unit to the other, use the “place value chart.”
kilo- k 1,
hecto- h 100
deka- dk 10
standard unit (no abbreviation) 1
deci- d 0.
centi- c 0.
milli- m 0.
Find the prefix of the unit you are changing from. Count the number of
places from the original unit to the new unit and note which direction to
move the decimal point (smaller to larger = move left; larger to smaller = move
right).
dkm to mm = 4 places right
23 dkm = 230,000 mm
- 2,847 g = __________________ kg
g to kg = 3 places left
2,847 g = 2.847 kg
- 15.4 dL = ___________________ dkL
dL to dkL = 2 places left
15.4 dL = 0.154 dkL
- 3,000,974 cg = ________________ kg
cg to kg = 5 places left
3,000,974 cg = 30.00974 kg
- 3,785 mL = ___________________ L
mL to L = 3 places left
3,785 mL = 3.785 L
Perform the following operations:
- 15 kg^ 400 g
For metric units, you can change from the smaller unit to the larger or
the larger unit to the smaller.
15 kg 400 g 15, 000 g 400 g
14, 600 g
15 kg 400 g 15 kg 0.4 kg
14.6 kg
- 4 km + 17 hm
4 km + 17 hm 40 hm 17 hm
57 hm
4 km 17 hm 4 km 1.7 km
5.7 km
- 4.5 km 3.
Multiplying a measure by a number results in a measure.
4.5 km 3.5 15.75 km
This is equivalent to “What is the total length of 3.5 measurements of 4.5 km
each?”
5 kg
20 g
Dividing a measure by a measure results in a number. You must change the units
to a common unit.
5, 000 g 5 kg
20 g
20 g
5 kg 5 kg
20 g
0.02 kg
The answer is 250 units, which is equivalent to “How many 20-g packages can be
made from 5 kg?”
- A drug warns that storage above 40 C should be avoided. What is 40 C on the
Fahrenheit scale?
F C
1
8
104 F
- 15 L = _______________ qt.
Use unity ratios to change from metric to U.S. measures or from U.S. to
metric measures. Use the unity ratio which has a 1 in the denominator.
15 L 1.0567 qt.
1 1 L
15.8505 or about 15.9 qt.
- 130 km = _______________ mi.
130 km 0.6214 mi.
(^1) 1 km
80.782 or about 80.8 mi.
- 175 lb. = _________________ kg
175 lb 0.4536 kg
1 1 lb
79.38 or about 79.4 kg
- 215 m = _________________ yd.
215 m 1.0936 yd.
(^1) 1 m
235.124 or about 235.1 yd.
- A basketball player is 6 ft. 6 in. tall. Change this to centimeters.
6 ft. 6 in. = 72 in. + 6 in.
= 78 in.
78 in. 2.54 cm
(^1) 1 in
198.12 or about 198.1 cm
- The formula for the body mass index is
2
w
BMI
h
where w = a person’s weight in pounds and h = a person’s height in inches. Find the
BMI of a person who is 6 ft. 7 in. tall and weighs 192 lb.
Change 6 ft. 7 in. to 79 in. and substitute into the formula:
2
2
2
(Do not round until the last possible moment)
w
BMI
h
The BMI is 22. (The BMI is reported as a whole number.)
