41. 9)543

42. 9)853 43. 9)458

45. 9)178

44. 9)788

46. 9)9,176 47. 9)9,278 48. 9)9,173

49. 9)9,521 50. 9)9,716 51. 6)5,346 52. 7)4,807

306. Divide:

1. 87 by 10.

PROCESS

Division

=

EXPLANATION. 87 8 tens +7 ones. 810 10 is contained in 8 tens +7 ones 8 10)87 times with 7 as a remainder or 87.

A short method of dividing a number by 10 (when the dividend does not end with a 0) is to separate the tens from the ones by a vertical line and divide.

PROCESS

73

100)73 00

EXPLANATION.-7,300-73 hundreds.

1 hundred is contained in 73 hundreds 73 times.

73 is the quotient.

A short method of dividing by 100 a number that

ends with two O's is to cancel the two 0's at the right of the divisor and the dividend, and divide.

Canceling a cipher at the right of a number divides the number by what?

Canceling two ciphers at the right of a number divides the number by what?

7. 800)89,700 8. 900)54,600 9. 600)93,310

10. 700)33,970 11. 800)828,240 12. 900)565,830

13. 700)739,256 14. 800)309,491 15. 900)267,662

16. 600)726,751 17. 500)155,671 18. 900)900,918

Oral Exercises

309. Divide by 10 and 100:

1. 500 1,300 7,500 8,000

8,000 1,200 10,000

2. )$ 1,100 $9,900 $900 $2,500 $3,700 $5,600

3. )1,000 ft. 100 ft. 2,000 lb. 2,500 lb. 5,000 mi.

Divide by 20 and 200.

4. )2,200

4,800

6,400

5,000 3,600

5. )3,200 2,600 bu. 2,800 pt. 1,200 in. 1,800 min.

16. 800)13,600 17. 700)1,800 18. 900)72,900

19. Divisor 400, dividend 306,000, quotient? 20. Divisor 300, dividend 405,000, quotient?

21. Divisor 700, dividend 500,600, quotient? 22. Divisor 900, dividend 873,000, quotient? 23. Divisor 600, dividend 675,341, quotient? 24. Divisor 700, dividend 3,807,560, quotient? 25. Divisor 800, dividend 4,539,670, quotient? 26. Divisor 900, dividend 7,536,420, quotient? 27. Divisor 900, dividend 7,436,420, quotient?

Review Problems

311. 1. If 20 lb. of sugar cost $1, what is the cost of 1 lb. ?

2. If 30 bu. of wheat weigh 1830 lb., what is the weight of 1 bu. ?

3. A farmer pays $120 for 30 sheep. How much did he pay for each sheep?

4. If a bushel of wheat sells at 97, what is the selling price of 70 bu.?

5. A merchant buys 90 bu. of beans for $270. What is the price per bushel?

6. If 700 bu. of clover seed cost $1400, what is the cost of 1 bu?

7. A plumber earned $200 in 50 da. How much did he earn per day?

8. One bin in a granary contains 300 bu. of grain. How many bins will be required to hold 2,400 bu.?

9. A fruit dealer has 450 bu. of apples. He packs the apples in baskets holding 20 qt. each. How many baskets will he require?

10. A plot of ground 500 ft. wide is cut up into 20 building lots of equal width. How wide is each lot?

11. A superintendent divides 1,640 pupils into 40 classes, each class containing the same number of pupils. How many pupils in each class?

12. A baker uses 30 bbl. of flour in a week. In how many weeks will he use 1,560 bbl. ?

13. An express agent delivers 1,000 packages a day. Each wagon delivers 50 packages a day. How many wagons has he?

14. A family spends $420 in 40 wk. much is spent in 1 wk. at the same rate?

How

15. The monthly rent receipts from an apartment house are $2,400. If there are 60 apartments, what is the average monthly rent for each apartment?

Multipliers of Two Digits

312. Multiply:

1. 23 by 13.

23 Multiplicand

PROCESS

13 Multiplier = 1 ten+ 3 ones

69=23 multiplied by 3 units (first partial product) 23023 multiplied by 1 ten (second partial product) 299-23 multiplied by 1 ten, 3 ones (product)