Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

REDUCTION DESCENDING.

[ocr errors][ocr errors]

245. 1. How many farthings are there in 2 pence? In 5 pence? In 7 pence? In 8 pence? In 6 pence?

2. How many pence are there in 2 shillings? In 5 shillings? In 7 shillings? In 8 shillings? In 6 shillings?

3. How many pence are there in 5s.? In 5s. and 3d. ? In 7s. 4d.? In 4s. 5d.? In 6s. 8d.?

4. How many farthings are there in 5d.? In 6d. 3 far.? In 5 d.? In 6.d.? In 8 d.? In 91d.? In 10 d. ?

5. How many shillings are there in £2 5s.? In £3 5s. ?

246. Reduction of a denominate number is the process of changing it from one denomination to another without altering its value.

247. Reduction Descending is the process of changing a denominate number to an equivalent number of a lower denomination.

[ocr errors][ocr errors]

WRITTEN EXERCISES.

PROCESS.

[ocr errors][ocr errors][ocr errors][ocr errors]

1. How many farthings are there in £3 5s. 6 d.?

ANALYSIS.—Since in 1 pound £3 5s. 6 d.

there are 20 shillings, in 3 pounds

there are 3 times 20 shillings, or 60 20

shillings; and 60 shillings + 5 shil65 s. £3 5s.

lings = 65 shillings. 12

Since in 1 shilling there are 12 786d. £3 5s. 6d. pence, in 65 shillings there are 65

times 12 pence, or 780 4

and

pence;

780 pence + 6 pence=786 pence. 31 47 far. = £3 5s. 63 d.

Since in 1 penny there are 4 far

things, in 786 pence there are 3144 farthings; and 3144 farthings + 3 farthings = 3147 farthings.

Hence in £3 5s. 6 d. there are 3147 farthings.

PROCESS.

2. How many pence are there in £2 10s. 6d. ?
3. How many shillings are there in £13 5s. ?
4. How many farthings are there in £4 6s. 5d. ?
5. How many pence are there in £j?

ANALYSIS.-Since in 1 pound

there are 20 shillings, in of a ·£= of 20 s. = 60 s.

pound there are of 20 shil. el s. = 60 of 12d. = 740d.

lings, or hoe of a shilling. 129d. =1024 d.

Since in 1 shilling there are

12 pence, in o of a shilling there are 6 of 12 pence, or 740 pence; and ??o pence=1024d.

Therefore in £} there are 1029d.
RULE.-

Multiply the number of the highest denomination given, by the number of units of the next lower denomination which is equal to one of the next higher, and to the product add the number given of this lower denomination.

Proceed in like manner with this and each successive result thus obtained, until the number is reduced to the denomination required.

6. How many pence are there in £j?
7. How many pence are there in £j?
8. How many farthings are there in s.?
9. How many pence are there in £?
10. How many shillings are there in £5 6s. ? How many
farthings?

11. Reduce 12s. 5d. 2 far. to farthings.
12. How many pence are there in £7 9s. 5d. ?
13. Reduce 17s. 6 d. to farthings.

14. What is the value of £j in units of lower denomina-
tions?
15. Find the number of farthings in £5 13s. 3d.
16. Reduce £35 6s. 8d. to pence.
17. Reduce £45 3s. 9 d. to farthings.
18. Reduce £29 18s. 5d. to farthings.

[ocr errors]

REDUCTION ASCENDING.

218. 1. How many pence are there in 12 farthings? In 16 farthings? In 20 farthings?

2. How many shillings are there in 24 pence? In 60 pence? 84 pence? 96 pence?

3. How many pounds are there in 40 shillings? In 60 shillings? In 120 shillings?

4. How many pounds sterling must be paid for 10 pairs of boots at 6 shillings a pair?

5. At 5 shillings each how many pounds sterling must be paid for 16 hats? For 20 hats?

6. Sold 8 pairs of skates at 5 shillings a pair. How many pounds sterling did I receive for them?

Reduction Ascending is the process of changing a denominate number to an equivalent number of a higher denomination.

[ocr errors][ocr errors][merged small]

WRITTEN EXERCISES.

PROCESS.

1. How many pounds sterling are there in 7254 pence?

ANALYSIS.—Since 12 pence are 12) 7 2 54

equal to 1 shilling, there must 20) 604...6

be as many shillings in 7254

pence as 12 pence are contained 30....4

times in that number. 12 pence 7 25 4d. -£30 4s. 6 d.

are contained in 7254 pence 604

times with a remainder of 6 pence, therefore 7254 pence are equal to 604s. 6d.

Since 20 shillings are equal to 1 pound, there must be as many pounds in 604 shillings as 20 shillings are contained times in that number. 20 shillings are contained in 604 shillings 30 times and a remainder of 4 shillings.

Therefore 7254 pence are equal to £30 4s. 6d.

[ocr errors]

2. How many shillings are there in 345 farthings?
3. How many pounds are there in 450 shillings?
4. How many pounds are there in 1586 pence?
5. Reduce 3864 farthings to pounds.
6. Reduce $d. to a fraction of a pound.

ANALYSIS.—Since 1 penny is

1 of a shilling, of a penny is 3d.= $of 1;s.=s.

equal to of ty of a shilling, or 845. = 84 of £zv==£1650 it of a shilling.

Since 1 shilling is zo of a pound, its of a shilling is equal to i of of a pound, or Test of a pound.

PROCESS.

[merged small][merged small][ocr errors][ocr errors]

RULE. - Divide the given number by the number of that denomination which is equal to a unit of the next higher denomiration.

Divide the quotient in like manner, and thus proceed until the required denomination is reached.

The last quotient and the several remainders will be the result sought.

7. Change of a shilling to a fraction of a pound.
8. Change of a farthing to a fraction of a shilling.
9. Change 384 pence to units of higher denominations.
10. Change 3146 shillings to pounds.

[ocr errors][ocr errors][ocr errors][merged small][ocr errors][merged small]

Reduce:
11. 3596d. to pounds.
12. 3846 far. to shillings.
13. 4856s. to pounds.
14. 5968 far. to pounds.
15. 3984d. to pounds.
16. 4685 far. to shillings.
17. 48567 far. to pounds.
18. £3 14s. 5d. to far.
19. 48596 far. to pounds.

Reduce:
20. £15 8s. to farthings.
21. £15 to dollars.
22. $456 to pounds.
23. $394.45 to pounds.
24. $37.50 to pounds.
25. £25 to dollars.
26. £15 10s. to farthings.
27. $973.30 to pounds.
28. $1216.625 to pounds.

ihat Ida

FRENCH MONEY.

249. In France the currency is decimal. The unit is the Franc.

TABLE.

=

[ocr errors][ocr errors][merged small]
[ocr errors]

10 Centimes (ct.) (pronounced son-teems] 1 Decime 10 Decimes [pronounced des-seems] =-1 Franc

Scale Decimal.

% and

The value of the franc, as determined by the Secretary of the Treasury, is $.193 in United States money.

120
31
3!

1. How many centimes are there in 1 franc? In 5 francs?
2. How many decimes are there in 1 franc? In 7 francs ?
3. How many centimes are there in 4 decimes ?
4. How many dollars are there in 10 francs? In 20 francs?
5. In 3684 centimes how

many

francs are there? 6. How many francs are there in $19.30? In $9.65? In $3.86?

[ocr errors][merged small]
[ocr errors][ocr errors]

250. Space is extension in any direction. It has three dimensions or measurements—length, breadth and thickness.

251. A Line is that which has only length.

Thus, the edge of any thing, or the distance between any two objects or places, is a line.

252. A Surface is that which has only length and breadth.

Thus, the floor, this page, or the outside of any thing, is a surface.

253. A Solid is that which has length, breadth and thickness.

Thus, a stone, an apple, a block, a book, etc., are solids.

« ΠροηγούμενηΣυνέχεια »