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7. 10 tens
2 tens =

tens, or * units; then 100—20=*. 8. 7 tens 5 tens * tens, or

* units; then 70—50 =*. 9. 8 tens — 4 tens =* tens, or * units; then 80 — 40 =*. 10. 10 tens 5 tens

tens, or * units; then 100—50=*. 11. 10 tens -3 tens — 4 tens, * tens * units; then 100 - 30 - 40 =*

12. 6 tens - 3 tens 2 tens,=* tens * units; then 60 - 30 - 20 =* 13. 8 tens - 3 tens - 3 tens,

* tens * units; then 80 - 30 – 30=*.

14. 9 tens — 2 tens - 2 tens,=* tens * units; then 90 - 20 - 20 =*.

15. 10 tens — 5 tens - 4 tens, =* tens * units; then 100 - 50 – 40

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E. 1. 30 + 50 ? Solution, 30 + 50=3 tens + 5 tens = 8 tens, or 80. Ans.

2. 40 + 50? 30 + 70? 40 + 20? 60 + 10?
3. 20 + 70 ? 50 + 20+ 20? 30+20 + 10 + 10 ?

4. 10+20+ 30 + 30 ? 20 + 40 + 20+ 10? 30 + 20 + 10+20+20 ?

5. 30 + 30 + 20 ? 10+20+50 + 20 ? 10 +30 + 60 ? 6. 10 + 10 + 80? 10+60 + 20? 20+20+20+30 ?

Note. The solutions in the above examples, and also in the following, should be omitted as soon as the pupil has become so familiar with the operation as to answer the questions promptly, when the results simply of the successive combinations should be given ; as in the following example. 20 + 20 + 20 + 30? 20, 40, 60, 90, Ans. F. 1. 90 - 60 ? Solution, 90 - 60 = 9 tens

6 tens = 3 tens, or 30. Ans. 2. 80 - 50 ? 60 — 30 ? 90 - 20 ? 50

10

- 20 ? 3. 70 — 40 — 20 ? 100 — 30— 10? 20+40 +40 – 60 ?

50+40 - 30 - 40 +60 ? 80 - 30+ 10+40-70 ? 5. 100 — 10— 10-30+20 — 50 - 10? 10+ 10+ 10 +40 + 10— 40 - 20 — 10?

6. 90 — 60 + 20 — 10+60 — 20 ? 30 +30 +- 30 -- 40 - 40 + 30+30 +30 - 40 ?

7. 30 + 40 — 20 + 50 - 70 - 20 ? 80 - 40 — 20 + 70 + 10 - 30 ? 8. 100 - 20-20-20-20 ? 90-20-20-20-20 ?

9. 30 + 30 + 30 + 10 — 40 — 40 + 30? 50 + 40 – 30 - 20 — 10 + 20 ?

10. 70 — 20 + 40 — 60 — 20 + 70? 50 + 30 — 10 – 60 + 50 + 20 ?

G. 1. Mr. Phillips expended 40 dollars on an acre of potatoes, 30 dollars on one acre of corn, and 20 dollars on a half acre of corn. How much did he expend on all ? How much more on the corn than on the potatoes ? How much more on the potatoes than on the one acre of corn ?

2. A bushel of potatoes weighs 40 pounds, a bushel of wheat weighs 60 pounds. What is the weight of both ? How many more pounds of power would a person have to employ to lift a bushel of wheat, than to lift a bushel of potatoes ?

3. James carried a bushel of beans and a bushel of potatoes to Mrs. Goss. What was the weight of his load, allowing the weight of beans and wheat to be equal ?

4. A horse ate 10 pounds of hay from a truss weighing 60 pounds, and a yoke of oxen ate 30 pounds from the same truss. How many pounds were eaten? How many were left ?

5. Esquire Jones bought for his farm a plough-horse worth 50 dollars, a plough worth 10 dollars, and an ox cart worth 20 dollars. What was the value of all? How much more was the horse worth than the plough? Than the cart? Than the plough and cart together? He afterwards bought a carriagehorse for 100 dollars. How much more did he pay for it than for his plough-horse? How much more than for his ploughhorse, plough, and cart? He sold his plough-horse at a cattleshow for 60 dollars, and paid 40 dollars of what he received, for a yoke of steers, and the rest for a cow. How much did he pay for the cow? How much money did he gain upon his horse ?

6. Mr. Tyler had in his farm 10 acres of wheat, 10 of rye, 10 of corn, and 50 of pasturage. How many acres had he in all? How many more acres of pasturage had he than of wheat, rye, and corn? He exchanged his wheat-field for 20 acres of woodland. How many acres had he then in his farm? What was the difference between the number of acres in his piece of woodland, and the number of those in his rye and corn fields taken together ? 40 acres of his pasturage, and 10 of his wood

ens.

land, were enclosed by a stone wall, and the rest of his land by cedar fences. How many acres were fenced with cedar? He kept 10 cows in one pasture, and 20 in another, and 10 calves in a third. Beside these, he had, reckoning his horses, oxen, pigs and sheep, 20 quadrupeds,* and he had 30 hens, and 60 chick

How many quadrupeds had he? How many bipeds ? + How many more bipeds than quadrupeds ?

7. Mr. Smith had in his orchard 30 apple-trees, 40 peachtrees, 20 plum-trees, and 10 pear-trees. How many trees had he in all ? During a severe winter, 20 of his peach-trees and 10 of his plum-trees were destroyed. How many trees had he left? The next fall he sold 60 bushels of peaches, and 30 of pears, at a dollar a bushel. What did he receive for the whole ? He gathered 40 barrels of baldwins, 10 of Roxbury russets, 30 of greenings, and 20 of pippins. How many barrels of apples did he gather? He reserved 3 barrels of baldwins, 1 of russets, 3 of greenings, and 3 of pippins; the rest he sold. How many did he reserve? How

many

did he sell? 8. Mr. Wilson went a journey of 100 miles in a carriage. The first day be rode 30 miles, and the second day 40. How many more miles had he to ride ? On his return "he rode 40 miles the first day. How much further had he to ride ? He met 50 carriages on his outward journey, and 40 on his return. How many did he meet in going and returning ? How many more in going than in returning ?

9. A farmer, who owned 90 sheep, kept 40 in one pasture, 30 in another, and the rest in another.

did he keep in the last pasture ? He drove 10 sheep from the second pasture into the first, and the rest of those in the second pasture he drove into the third. How many were there in the first pasture? In the third ? How many more were there in the first pasture than in the third ? If he should now drive into the second pasture 30 sheep from the first pasture, and 20 from the third, how many would there be in each pasture ?

10. Sarah found 20 walnuts under one tree, and 30 under another, wbile Lydia found 30 under one tree, and 20 under another. How many did each find ? did both ? Sarah gave 20 nuts to Jane, and Lydia gave her 10. How many did both give her? How

many had each left? How many did the three girls together have? Sarah gave 10 nuts to Fanny, Lydia gave 20, and Jane gave 10. How many did all give her? How many did each have left? How many nuts did the four girls together have ?

* A quadruped is an animal having four feet.
† A biped is an animal having two feet.

How many

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SECTION II. A. 1. 2 tens + 1 unit 20 + 1, or TWENTY-ONE,

written 21. 2. 2 tens + 2 units = 20 + 2, or TWENTY-TWO,

written 22. 3. 2 tens +- 3 units = 20 + 3, or TWENTY-THREE, written 23. 4. 2 tens + 4 units = 20 + 4, or TWENTY-FOUR, written 24. 5. 2 tens + 5 units 20 + 5, or TWENTY-FIVE, written 25. 6. 2 tens + 6 units = 20 + 6, or TWENTY-SIX, written 26. 7. 2 tens + 7 units 20 + 7, or TWENTY-SEVEN, written 27. 8. 2 tens + 8 units = 20 + 8, or TWENTY-EIGHT, written 28. 9. 2 tens + 9 units 20 + 9, or TWENTY-NINE, written 29. 10. 3 tens + 1 unit 30 + 1, or THIRTY-ONE,

written 31. 11. 3 tens + 7 units 30 + 7, or THIRTY-SEVEN, written 37. 12. 4 tens + 7 units 40 + 7, or FORTY-SEVEN,

written 47. 13. 6 tens +8 units = 60 + 8, or sixTY-EIGHT,

written 68. 14. 7 tens + 3 units 70 + 3, or SEVENTY-THREE, written 73. 15. 8 tens + 9 units 80 + 9, or EIGHTY-NINE,

written 89. 16. 5 tens + 6 units 50 + 6, or FIFTY-SIX,

written 56. 17. 9 tens +5 units = 90 + 5, or NINETY-FIVE, written 95.

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B. 1. What do we call 70 + 8? 30 + 7? 90 + 9? 2. 50 +1? 40 +9? 80 +6? 70 +3? 60 +7? 3. 30 +7? 50 + 9? 20 + 5? 60 + 2? 70 +7? 4. What do we call 5 tens and 8 units ? 5. 6 tens and 3 units ? 8 tens and 4 units ? 6. 9 tens and 9 units ? 3 tens and 9 units ? 7. 7 tens and 1 unit? 6 tens and 7 units ? 8. 8 tens and 7 units ? 9 tens and 4 units ? 9. 3 tens and 3 units? 5 tens and 0 units ? 10. How will each of the above values be represented by figures ?

C. 1. What number will be represented by 7 written in the tens' and 5 in the units' place ?

2. By 6 in the tens' and 4 in the units' ? 3. By 8 in the tens' and 9 in the units' ?

4. By 5 in the tens' and 7 in the units'? 5. By 9 in the tens' and 0 in the units'? 6. By 8 in the tens' and 3 in the units' ? 7. By 0 in the tens' and 9 in the units'? 8. By 8 in the tens' and 8 in the units'? 9. By 5 in the tens' and 0 in the units' ? 10. How

many

tens and units in 64 ? 11. In 73 ? in 85 ? in 97 ? in 60 ? in 15 ? 12. In 03 ? in 07 ? in 82 ? in SO ? in 30 ? 13. In 09 ? in 05 ? in 50 ? in 04 ? in 40 ? 14. In 24 ? in 42 ? in 75 ? in 57 ? in 49 ? 15. In 94 ? in 83 ? in 67 ? in 76 ? in 99 ?

D. 1. 4+2+2? 40 + 20 + 20 ? 14 + 2 + 2?
2. 24 + 2 + 2? 34 + 2 + 2? 64 + 2 + 2?
3. 94 + 2 + 2? 4+ 22 + 2? 4+ 52 + 2?
4. 4 + 72 + 2? 4+2 +92? 4+2 + 42 ?
5. 2+5+2? 20 + 50 + 20 ? 12 + 5 + 2?
6. 22 +5+ 2? 92+5+2? 2 + 35 + 2?
7. 2 + 65 + 2? 2+5 + 72 ? 2 + 5 + 12 ?
8. 3+ 4+ 3? 30 + 40 + 30 ? 13+4+3?

9. 23 +4+3+3 +4+3+3+4+3 + 3 + 4 +3+3+4+3+3 +4+3?

10. 2+ 3+5+2 +3 + 5+ 30 +2 + 3 + 5 + 2 +3+5+ 10 + 2 + 3 + 5?

11. 4+5+1+4 +5 +1+4+5+1+4+5+ 1+ 50 +4+5+ 1?

12. 2+5+3+20+2+5+3+2 +5 +3 + 2 + 5 + 3 + 2 +5 +3 + 2?

13. 3 +4+3 + 2 +5+3+3+4+3+2+5+ 3 + 40 + 3+ 4+3 + 2 + 5?

14. 2+3+3+2+4+6 +5+5+7+3+2+ 1+3+1+2+1+3+7+4+2 ?

15. 23+2+5+4+4+2+7+3+2+1 +5+ 2+1+9+ 10 + 2 +7?

E. 1. 9

- 3

4 ?

-3-4? 90 --- 30 -- 40 ? 19

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