(c) Estimate the quotient 43.91 ÷ 11.3 by rounding
to whole numbers.
(d) Compute the quotient 43.91 ÷ 11.3, without
rounding divisor or dividend, by hand, rounding the quotient to two decimal places.
Move the decimal in the divisor just far enough to the
right to make it an integer. (One place, here.)
Move the decimal in the dividend the same number of
places . Perform long division as usual. The decimal
in the quotient is placed directly above the new
decimal in the dividend. Continue until the digit after
the place where we are to round is obtained.
Rounding, we get
2. (a) A machine runs for 5 hr 52 min, then runs 4 hr 45
How much total time did the machine run? Answer with a sentence. (1 hr = 60 min)
5 hr 52 min + 4 hr 45 min = 9 hr 97 min = 9 hr + 60 min + 37 min = 10 hr 37 min
The machine ran for a total of 10 hr 37 min.
(b) There was 6 lb 10 oz of flour left in a bag. Of this
flour, 2 lb 12 oz is used
for a recipe. How much flour is now left in the bag? (1 lb = 16 oz)
6 lb 10 oz − (2 lb 12 oz) = 5 lb 26 oz − 2 lb − 12 oz = 3 lb 14 oz
(b) the median Arrange lowest to highest. 44, 50,
55, 57, 75, 82, 90, 95.
The number of data is even. Find the mean of the middle two numbers in size.
(c) the range
10. (a) Check the proportion
, and state if it is true or false. The
the extremes should equal the product of the means. 2.4 × 4.5 = 3.6 × 3.2,
10.8 = 11.52 is false. The proportion is false .
(b) Solve the proportion
11. If we can drive 550 miles on 20 gallons of gas, how
far can we drive on
16 gallons of gas? Set up and solve a proportion to solve the problem. Answer
with a sentence.
Plan: Let the distance
be X Miles
We can drive 440 miles on 16 gallons of gas.
12. Brand A gasoline cost $48 for 16 gallons. Brand B
gasoline cost $42 for 15 gallons.
Brand C gasoline cost $52 for 18 gallons. Compare unit ratios and decide which
best buy, if the brands are equal in quality. Answer with a sentence.
Plan: Fewer dollars per
gallon is better. Brand A:
Brand B: , Brand C: .
2.8 < 2.89 < 3
(Be sure to keep enough decimal places when rounding to see the differences .)
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