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LONG COLUMNS.

Practise upon the following examples, until the numbers of each can be added correctly and rapidly, by naming results only.

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REVIEW. What is a unit? (1.) What is Quantity? (10.) What are Numbers? (11.) What are Figures? (16.) What is Notation? (32.) What is Numeration? (36.) What is Addition? (39.) What is the result in Addition called? (40.) Recite the Rule for Addition. (42.)

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43. 1. If John should have 6 trouts and his brother 4, how many more will John have than his brother?

2. Six trouts less 4 trouts are how many?

3. Six less 4 are how many?

4. Four and how many are six?

44. Subtraction is the process of finding the difference between two numbers of the same kind.

The DIFFERENCE, or REMAINDER, is the number left after the subtraction is performed.

Thus,

The difference between 8 apples and 6 apples is 2 apples.

The SUBTRAHEND is the number subtracted.

The MINUEND is the number subtracted from.

The DIFFERENCE between two numbers is such a number as added to the smaller will equal the larger.

What is Subtraction? The Difference? The Subtrahend? The Minuend? The Difference between two Numbers?

45. The Sign of Subtraction is a short horizontal line, and is called minus. Thus,

6

-4, which is read six minus four, denotes that 4 is to be subtracted from 6.

853, denotes that 8 minus 5 is equal to 3, or that 8 less 5 is equal to 3.

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What is the Sign of Subtraction? Recite the column 1 from 1. 2 from 2. 3 from 3. 4 from 4. 5 from 5. 6 from 6. 7 from 7. 8 from 8. 9 from 9. 10 from 10.

EXERCISES ON THE TABLES.

1. 2 from 6 how many?
2. 1 from 8 how many?
3. 3 from 7 how many?
4. 8 from 10 how many?
5. 6 from 11
6. 9 from 15
7. 3 from 11 how many
8. 7 from 10 how many ?

how many?
how many?

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32. 9.

33. 13

4

how many?

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how many?

6

9. 3 from 8 how many? 10. 7 from 11 how many? 11. 6 from 12 how many? 12. 5 from 13 how many? 13. 9 from 13 how many? 14. 2 from 11 how many? 15. 7 from 12 how many? 16. 8 from 16 how many?

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34. 16

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8

38. 14 8= how many?

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39. 11 1= how many?

how many? 40. 16 7= how many?

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41. 19-10 36. 18- 9 how many? 42. 20-10

43. How many does 6 from 13 leave?

6 from 43? 6 from 73? 6 from 93?

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44. How many does 5 from 12 leave? 5 from 32?

5 from 22? 5 from 42? 5 from 72?

REVIEW. - What is the sign of Subtraction called? (45.) Sign of Addition? (40.)

45. How many does 7 from 11 leave? 7 from 21? 7 from 41? 7 from 64? 7 from 84?

46. How many does 8 from 16 leave? 8 from 36? 8 from 76? 8 from 96? 8 from 15? 8 from 55?

47. How many does 9 from 17 leave? 9 from 27? 9 from 37? 9 from 67? 9 from 67? 9 from 88?

48. How many does 3 from 10 leave? 3 from 40? 3 from 60? 3 from 70? 3 from 90?

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1. Mary had 8 books, and gave to her sister 3 of them; how many books had she left?

SOLUTION.

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- She had left the difference between 8 books

and 3 books, which is 5 books.

2. If a boy has 13 marbles, and gives away 7 of them, how many has he left?

3. Bought a watch for 10 dollars and sold it for 17; how much was gained?

4. From a brood of 15 chickens the hawks have taken

6; how many remain?

5. If I go a-shopping with 18 cents, and spend 8 cents, how much have I left?

6. Sold goods for 21 dollars, which was five dollars more than they cost me; what did they cost me?

7. Bought a cow for 31 dollars, and paid down 9 dollars; how much was then owed?

8. Andrew has 4 cents, and wishes to buy a knife worth 42 cents; how many more cents does he need?

9. How many cents less than 42 cents are 4 cents?

REVIEW. What are Numbers? (11.) Figures? '16.) How many are used? (16.)

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