Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

160

9

144

sq. rd.

sq. ft.

sq. in.

2. What is the sum of 37 A. 159 P. 25

sq.
rd. 8

sq.

ft. 126 sq. in., 20 A. 110 P. 30 sq. rd. 8 sq. ft. 131 sq. in., 345 Process.

A. 111 P. 16 sq. rd. 7 301

sq. ft. 99 sq. in ? A. P. 37 159 25 8 126

Explanation. 20 110 30 8 131 345 111 16 7 99

1 sq. yd. = 41 sq. ft.

72 sq. in. 404 62

7 68

Adding 4 sq. ft. and 72 를 4(1) 72

sq. in., we have a result 404 62 13 2 140 free from fractions.

1 sq. ft.

12(1)

3. Find the sum of the following:

(1.)
rd. yd. ft. in.
140 5 2 7
225 0 3 9
402 4 0 10

Suggestion : Reduce the 1 yd. occurring in the result to feet and inches. (2.)

(3.)
mi.

rd. yd. ft. in. A. P. sq. yd. sq. ft. sq. in.
5 251 4 2 9 112 80 21 5 0
5 184 4 0 6 108 75

16 4 0
8 256 5 1 7 93 57 12 0 0
7 159 4 0 8 115

18 28

0 0

lb.

(4.)

(5.) cwt. lb.

OZ.

OZ.

15 14 15 12 24 13

pwt. 9 17 8 16 6 3 10

0 3 16 0 14

gr. 11 23 18 19 5 0

T. 4 9 14

6 38 12 49 4 44 9 20 5 12 9 65

9 12 11 10 8 6

21
7

6. 6 mi. 80 rd. 3 yd. 2 ft. 1 in., 4 mi. 75 rd. 1 yd.

2 ft. 7 in., 5 mi. 170 rd. 2 yd. 1 ft. 8 in. 4. Find the value of mi. + 13}rd.

[blocks in formation]

Explanation.
5 yd. 1 ft. 6 in. = 161 ft. = 1 rd. 279 rd. + 1 rd. = 280 rd.

140

5. Find the value of:

1. mi. + .46 rd. + 3rd. 2. .007 sq. yd. + .04sq. ft. + .0008 sq. in. 3. £5 + 3.75s. + .975d. 4. .2965 T. +.8725 cwt. +.3725 cwt. +.1625 lb. 5. f lb. + 3} oz. + 5} pwt. 6. yr. + 5% wk. + 12 hr. 7. mi. + frd. + gyd. 8. 11° + 1 + 36". 9. £5 + 7 of 55s. 10. g wk. + á hr. + 1 min. 11. A. + sq. rd. + f sq. yd. 12. 274 cwt. + 267 lb. + 14 oz. [112 lb.=1 cwt.] 13. if hhd. + 36 gal. 3 qt. 14 pt. + } gal. + 2 qt.

i pt. + 1.75 pt. 14. $ of £13 + f of 4 of f of £2 128. + 4 of 9d.

25 6. Add 4 of f of a guinea to .4 of .375 of £1, and express the sum as the decimal of a crown (5s.).

7. Express .05735 mi. + 46.25 yd. as the decimal of 7 fur.

8. What is the value of 1.1375 fathoms + .875 yd. + 2.965 ft. + 9.75 in. in feet.

SUBTRACTION OF DENOMINATE NUMBERS.

EXERCISES.

1. From 2 mi. 116 rd. 4 yd. O ft. 4 in. take 1 mi. 120 rd. 2 yd. 1 ft. 8 in.

Process.

Explanation. mi. rd. yd. ft. in. Units of the same denomination must stand 2 116 4 0 4

in the same column. Since we cannot sub1 120 2 1 8

tract 8 in. from 4 in., we add to the 0 ft. one

of the 4 yds.; 1 yd. 3 ft.; now having 3 316 1 1 8

ft., instead of 0 ft., we add to the 4 in. one of the 3 ft. ; 1 ft. 12 in. ; 12 in. + 4 in. 16 in.; 16 in. 8 in. 8 in. Proceeding to the feet, we say, “1 ft. from 2 ft. leaves 1 ft.” Proceeding to the yards, we say, “2 yd. from 3 yd. leaves 1 yd.” One of the 2 mi. added to 116 rd. gives us 320 + 116 436; 436 rd. 120 rd. 316 rd.

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

8. From 1 hhd. 38 gal. 3 qt. 2 pt. take 60 gal. 2 qt. 1 gi.

1 9. From 8 lb. take 1 lb. 13 23 20. 10. From 5 T. take 10 lb. 8 oz. 11. From z oz. take } pwt.

[ocr errors]
[ocr errors]

21 gr.

Process.

Explanation. i oz. = 7 pwt. 12 gr.

Reduce the fractions to lower denom

inations and then subtract. pwt.

6 pwt. 15 gr. 12. From 2} oz. take } pwt. 13. From 1 da. take s min. 14. From 4 hhd. take , qt. 15. From 1 wk, take .9 da. 16. From pk. take .0625 bu. 17. From .625 Troy lb. take 4.25 Troy oz. 18. From 11 sq. rd. take sq. yd. 19. From 45 sq. yd. take 45 sq. in. 20. From 360° take 1 of a quadrant.

21. Find the lapse of time between July 4, 1890, and August 15, 1898. Process.

Explanation. 1898 8 15 July is the 7th month and Aug. the 8th month

of the calendar. 1890 7 4

8 1 11

22. Between Jan. 9, 1842, and Mar. 4, 1898. Process.

Explanation. 1898 3 4 January is the 1st month and March the 3d 1842 1 9

month of the calendar. 1 month 30 days in most

computations. 56 1 25

[ocr errors]

23. Between Mar. 2, 1857, and July 4, 1866. 24. Between Jan. 5, 1844, and Mar. 16, 1862. 25. Between May 3, 1804, and Dec. 16, 1871.

26. The Spanish-American war began April 21, 1898, and ended Aug. 12, 1898. Find the difference of the dates.

27. The American civil war began April 11, 1861, and ended April 9, 1865. How long did it continue ?

[ocr errors]

28. The Revolution commenced April 19, 1775, and closed Jan. 20, 1783. How long did the war last?

29. Columbus discovered America Oct. 11, 1492. How long ago did that event occur?

30. A note dated Aug. 10., 1882, was paid Nov. 11, 1887. . llow long did it run unpaid ?

MULTIPLICATION OF DENOMINATE NUMBERS.

EXERCISES.

27 gi.

1. Multiply 5 gal. 3 qt. 1 pt. 3 gi. by 9. Process.

Explanation. gal. qt. pt. gi. 9 times 3 gi.

6 pt. 3 gi. We reserve 5 3 1 3 the 6 pt. to add to the next product. 9 times 1 pt.

9

9 pt. ; 9 pt. + 6 pt. reserved

and 1 pt. We reserve the 7 qt. 9 times 3 qt. 53 2 1 3 27 qt. 27 qt. + 7 qt. reserved

8 gal. and 2 qt. We reserve the 8 gal. 9 times 5 gal. 45 gal. ; 45 gal. + 8 gal. reserved

53 gal.

15 pt.

7 qt.

34 qt.

2. Multiply 18 lb. 9 oz. 4 pwt. 16 gr. by 11. 3. Multiply 2 T. 2 cwt. 46 lb. 7 oz. by 8. 4. Multiply 9 mi. 3 fur. 20 rd. 3 yd. 2 ft. by 6. 5. Multiply 6 yr. 5 mo. 15 da. 18 hr. by 12. 6. Multiply 26 cd. 3 cd. ft. 12 cu. in. by 18. 7. Multiply £9 17s. 6d. 1 far. by 28. 8. Multiply 5 T. 8 cwt. 64 lb. 8 oz. by 37. 9. Multiply 7 mi. 4 fur. 15 rd. 3 yd. 2 ft. 8 in. by 48. 10. Multiply 5 lb. 7 oz. 15 pwt. 19 gr. by 75. 11. Multiply 21 lb. 93 23 19 16 gr. by 25. 12. Multiply 9 A. 3 R. 22 P. 6 sq. yd. 5 sq. ft. by 10. 13. Multiply 25° 37' 51" by 16. 14. Multiply £10 18s. 7d. 2 far. by 29. 15. Multiply 8 mi. 120 rd. 4 yd. by 26.

« ΠροηγούμενηΣυνέχεια »