101. A piece of ground containing 1.565 A. was divided into 4 lots. How much ground was there in each lot?

102. A piece of property was sold for $1565.76. It belonged in equal shares to 3 sisters. How much did each receive? 103. 4.9 mi. of graded road were built in Mercer County this year. Mr. Ames had a contract for of the distance. Find the distance Mr. Ames built.

104. Four boys raised 1032.64 bu. of corn in one season. What was the average for each boy?

In Exs. 105-109, find results to mills.

105. It cost $18.56 to produce 124 bu. of corn. Find the average cost per bushel.

106. A crop of 6000 lb. of onions was raised at a cost of $24.45. Find the average cost per pound.

107. It cost $4.63 to raise 1077 lb. of tomatoes. What was the average cost per pound?

108. If 294 qt. of vegetables were canned at a cost of $13.65, what was the cost per quart?

109. When 207 bu. of potatoes were raised at a cost of $44.20, what was the cost per bushel?

How to change common fractions to decimals.

1. Change

Oral Work

to tenths and express the result as a decimal.

Thus, } = %, or .2.

2. Change to tenths; to hundredths.

3. Change to hundredths.

4. Change to thousandths.

14. Change to a decimal.

Since a fraction may be regarded as an expression of division (p. 321), § = 3 ÷ 4. Annex zeros and divide as above.

The result is .75.

814

23. Change to a decimal.

9)4.000

.444

9)4.000

.444+.

In changing to a decimal it is evident that the divisor is not contained in the dividend without a remainder. The quotient may be indicated with a fraction, or a + sign may take the place of the fraction to show an undivided remainder.

A common fraction is changed to an equivalent decimal by placing a decimal point after ones' place in the numerator and dividing by the denominator.

1. Observe your foot ruler.

Notice that it is first divided into inches; then into inches; then into inches, inches, and inches. These are all the divisions of the inch that are used in ordinary business.

2. Measure the lengths and the widths of your various books to the nearest eighth of an inch.

3. Measure various objects in the schoolroom and express their lengths and widths in feet and fractions of a foot.

4. Observe the yardstick. Notice that it is divided in the same manner as the foot ruler. How many feet equal 1 yard? 1 foot is what part of a yard? 2 feet are what part of 1 yard?

5. How many feet equal a rod? Measure a rod on the blackboard with a yardstick. How many rods equal a mile?

6. Measure the length and the width of a playground in yards. Determine the length and the width of the playground in rods in two different ways.

8. Secure a board 1 rd. in length and divide it into feet and fractions of a foot. With this board, measure 20 rd. from the schoolhouse and set a post.

NOTE. Pace off certain distances until you gain accuracy in estimat ing the length of your own steps. Secure a 50-foot tapeline and measure or estimate the distance you live from the schoolhouse.

In the city measure certain city blocks in both yards and rods. Estimate by distance between the hands — 1 ft., 1 yd., ≥ yd., 1 in.

9. Estimate the length of a vacant lot in feet; then measure the length and compare the result with your estimate.

=

10. Show that 320 rd. 5280 ft.; that 1760 yd. = 5280 ft. 11. Then estimate by pacing the number of feet in a

street.

12. Paul steps 2 ft. 3 in. at a step. How many feet does he travel in 240 steps?

13. Mary steps 2 ft. 2 in. at a step. How far does she live from the schoolhouse if she paces the distance in 596 steps?

14. How many feet of fence are required for a garden in the form of an oblong 26 yd. long and 12 yd. wide?

How

15. James lives 180 rd. from the schoolhouse. many feet does he travel in going to and coming from school?

16. If the walk to the mineral spring ismi., how many trips each day must I make to equal 4 mi.?