663. Remove the decimal point in the divisor three places to the right, and make a corresponding change in the dividend, adding two ciphers.

To show where the decimal point originally belonged, it may be enclosed in a small circle, instead of being erased.

Ans. 15 100. 0013.) 1960300.

66

13

00

When the divisor is thus made a whole number, the decimal point in the quotient will be placed under (or over) the new decimal point in the dividend.

The sign (+) after the last figure of the quotient indicates that there is a remainder.

665. Divide, carrying out the quotient to 3 places of decimals:

=.369; that 219 ÷ 100 = 2.19; and that 6 ÷ 100 = .06.

369 thousandths

Cancel the ciphers in the divisor, and remove the decimal point in the dividend a corresponding number of places to the left, prefixing ciphers if necessary.

670. Give answers in whole numbers:

1. 8.75 9.999; or, 8.75 × 10 nearly.

2. 24.002.4999; or, 24 nearly, or

3. 25.125 x 11.834

7. 799.9 x .103

671. Give the cost, approximately, of:

1. 49 horses at $199 each. ($200 × 49.)

2. 199 yd. 2 ft. 11 in. of cloth at $2.50 per yard. 3. 3 lb. 15 oz. of butter at 25¢ per lb.

4. 398 coats at $12 each.

5. 7 bu. 3 pk. 7 qt. potatoes at $2 per bushel.

6. 798 base-balls at 25 cents each.

7. 19 gal. 3 qt. 1 pt. alcohol at $2.49 per gallon.

8. 995 lb. tea at 593 cents per pound.

9. 7 houses at $4,995 each.

10. 597 pounds of hay at 99 cents per 100 pounds.

672. Slate Problems.

1. Find the cost of 18,756 ft. of lumber at $30 per 1,000 ft. 2. A field is 14.25 rods long by 7.4 rods wide. What is its area in square rods?

3. A rod is 16.5 feet. How many rods are there in 231 feet.?

4. How many marks are there in $100? (A mark is equal to 23.8 cents.)

5. Add 3 and 4 tenths, 96 thousandths, 100 and 5 thousandths, 27 hundredths.

6. From 2,700 take 27 hundredths.

7. Multiply 8 and 4 tenths by 9 and 25 hundredths.

8. Divide 96 and 75 hundredths by 322 and 5 tenths.

9. A load of hay, at 75 cents per 100 pounds, cost $13.98. What was the weight of the hay?

10. The circumference of a circle is 3.1416 times the diameter. How many inches in circumference is a circle whose diameter is 20 inches?

11. Show by a diagram the number of pieces of wire yd. long that can be made from 4 yd. of wire.

12. Show by a diagram that three-fourths of one is equal to one-fourth of three.

13. If of a yd. of material will make an apron, how many half aprons can be made from a yard? Show by a diagram.

14. A boy paid 6 cents for three-eighths of a pie. What would be the cost of the whole pie at the same rate? Make a drawing.

15. Seven-eighths of an acre

of land is sold for $140. What is the price of an acre?

REVIEW.

676. In comparing two fractions, reduce both to a common denominator. Change denominate numbers to same denominate unit.

677. Oral Exercises.

1. What part of is? (What part of 7 is 3?)

2. is what part of?

3. What part of 21 is ?

4. 3 pt. is what part of a gallon? (3 pt. is what part of 8 pt.?)

5. What part of a gallon is 1 qt. 1 pt.?

6. Divide by . (Divide 10 fifteenths by 9 fifteenths.) 7. Divide by

8. How many sq. ft. in a rectangle 12 ft. long, 13 ft. wide? 9. of a day is how many hours and minutes?

10. 14 ounces is what part of 2 pounds?

11. ft. is what part of a yard?

12. A strip of tape 3 yards long is cut into four equal pieces. How many feet and inches in each piece?

13. At $30 per month, how much rent will I pay in 1 year, 8 months?

14. 2 months is what part of a year?

15. At of a dollar per lb., how much tea can I get for $1? 16. How many sq. yd. in a room 15 ft. long, 18 ft. wide?

17. A lot is 25 ft. by 100 ft. How many feet of fence will it take to enclose it?

18. 1 pk. 1 qt. is what part of a bushel?

19. 15 is what part of 4 dozen?

20. Reduce to lowest terms.