Q37:
If an automobile averaged 22.5 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline did the automobile average? (1 mile = 1.6 kilometers and 1 gallon = 3.8 liters, both rounded to the nearest tenth.)
A. 3.7
B. 9.5
C. 31.4
D. 53.4
E. 136.8
Note: As you can see this problem is very easy but I got confused about this rounding to nearest 10th or 100th. If someone can explain me that, I would really be grateful to him.
Thanks in anticipation
Rounding off
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22.5 miles per gallon
when you convert the values in kilometers and litres
22.5* 1.6/3.8= 22.5/(something a little more than 2)= something a little less than 11.25
answer B
when you convert the values in kilometers and litres
22.5* 1.6/3.8= 22.5/(something a little more than 2)= something a little less than 11.25
answer B
The powers of two are bloody impolite!!
Try this problem this way. The moment I looked at 22.5, I multiplied it by 2. I got 45. I multiplied it by another 2 just to get a multiple of 10 on top.
So the question became,
(90/4) * (1.6 / 3.8 )
= (90/4) * (16 / 38)
Canceling 4 and 16,
= 90 * 4 / 38.
Approximately cancel 38 as, 10 times 4. Then you are left with 90 / 10.
Approx. answer is 9 something. 9.5 in this case.
So the question became,
(90/4) * (1.6 / 3.8 )
= (90/4) * (16 / 38)
Canceling 4 and 16,
= 90 * 4 / 38.
Approximately cancel 38 as, 10 times 4. Then you are left with 90 / 10.
Approx. answer is 9 something. 9.5 in this case.
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22.5 miles is 22.5 x 1.6 = 36 km.ILULA08 wrote:Q37:
If an automobile averaged 22.5 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline did the automobile average? (1 mile = 1.6 kilometers and 1 gallon = 3.8 liters, both rounded to the nearest tenth.)
A. 3.7
B. 9.5
C. 31.4
D. 53.4
E. 136.8
1 gallon is 3.8 liters.
So the approximate rate, in km/liter, is 36/3.8 = 9.473.
Answer: B
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