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 16 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., į 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 is mi., how many trips each day must I make to equal 4 mi.?

1. This oblong represents a room 30 ft. ft. long, drawn on a scale of 40 ft. to 1 in. length of the room, 40 ft., is represented by 1 in. on the drawing and the width. of the room, 30 ft., is represented by 30ft. in. on the drawing. Represent the same room on a scale of 10 ft. to 1 in.; of 20 ft. to 1 in.

wide and 40

That is, the

40ft. SCALE 40 ft. to 1 in.

2. Mary lives 50 rd. from school. Draw a line to represent this distance, on a scale of 10 rd. to 1 in.

1 in.

a.

b.

C.

d.

e.

3. The following lines are drawn on a scale of 10 ft. to Measure the lines and find the distances represented.

4. An oblong measures 3 in. by 4 in. If the scale is 10 ft. to 1 in., what is its width and its length?

On the scale indicated by the heading, find what lengths or distances are represented by the following.

23. Mary lives 15 mi. from Newark, and Susan lives 10 mi. from the same city. Draw a diagram or graph to represent these distances on a scale of 5 mi. to 1 in.

24. Henry, Frank, Martha, and Julia received the following averages for the school term: 96, 84, 90, 78. Represent their averages by lines in which 1 in. stands for 24.

25. Four boys put in the school savings bank, in one year, the following amounts: John, $48; Henry, $40; Edward, $60; and Paul, $50. Represent their savings by lines in which 1 in. stands for $24.

26. Find the scale of the map of the United States in the geography you are using, and test it by actual measurement to see whether it is correct; also the map of your state.

27. Measure your school ground and draw a map of the surface on a suitable scale.

28. Draw, on a suitable scale, a map of your schoolroom floor, also a map of a blackboard.

29. Mr. Ronald's farm is 40 rd. by 80 rd. face on a scale of 20 rd. to 1 in.

Show the sur

30. The scale is frequently in fractions of an inch or of a foot. Draw a line, on a scale of 20 mi. toin., to show a distance of 3200 mi., which is about as far as from New York to San Francisco.

31. Mr. and Mrs. Jones and their three children, Mary, Martha, and Jane, are respectively 50, 40, 20, 15, and 10 yr. of age. Draw a graph to show a comparison of their ages, on a suitable scale.