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3. From sixteen dollars and eight cents, deduct four thousand nine hundred and sixty-nine mills, and tell the balance. Ans. $11 11c. 1m.

4. Mary went shopping, and bought articles to the amount of twelve dollars and eight cents; she gave the storekeeper a twenty dollar note-what change did he give her, supposing him to be honest? Ans. $7.92cts.

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AVOIRDUPOIS WEIGHT.

1. T. cwt. qr. lb. oz. dr. Bought 37 11 3 17 12 13

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2.

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1. deg. M. fur. R. yd. ft. in. 2. M.

yd. ft. in.

From 216 62 6 28
Take 172 65 2

4 1 7.

31

1568 2 9

32

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3. The compiler of this book was born on the twentyfifth day of the eighth month (August) 1784-how old was he on the 11th day of August, 1829?

Y. M. D.

6 5 26*

1829 8 11

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As I cannot take 25 days from 11, I examine the month

* When years, months, and days, are connected together, to find the difference between two given dates; after placing the less under the larger, if the lower number of days be greater than the upper, add to the upper number as many days as are in the month of the lower number, then subtract and carry as in other cases: when the months in the lower number are the larger, add 12 to the upper number, subtract, and carry 1 to the years.

In 1752, Old Style was changed to New, except in Russia, where the Old Style is still in use. When one date is in the Old Style, and the other in the New, reduce the Old Style to the New, by adding 11 days to the given date, for any date prior (before) to 1800, o days for any time between 1800 and 1900.

in the lower number, and find it contains 31 days, I therefore add 31 to the 11, which make 42, and subtract 25 from (the sum) 42, which leaves 17, I set it down and carry 1 to the lower month, 8, making it 9; as I cannot subtract the lower number, 9, from the upper number, 8, I add 12 to it, which makes it 20, subtracting 9 from which leaves 11, I set it down, and carry 1 to the years, and find 44 the difference of years.

4. Admit a bond was given the 16th of the 9th month, 1820, and paid off the 10th of the 8th month, 1828-for what time must the interest be reckoned thereon?

Ans. 7Y. 10M. 24D. 5. Henry was born on the 20th of the 6th month, (June) 1789, and Charles on the 18th day of the 2d month, (February) 1828-what is the difference in their ages?

Ans. 38Y. 7M. 28D. 6. General Andrew Jackson was born on the 15th day of the 3d month, (March) 1767—what was his age on the 4th of March, 1830? Ans. 62Y. 11M. 20D.

7. America was discovered by Columbus, on the 12th of October, 1492, (Old Style) and the Independence of the United States declared on the 4th of July, 1776-required the time elapsed between those two events?

Ans. 283Y. 8M. 12D.

8. General George Washington was born on the 11th of February, 1732, (Old Style) and died December 14th, 1799 -how old was he when he died? Ans. 67Y. 9M. 21D.

9. If a ship sail from St. Petersburg, in Russia, on the 14th of the 9th month, 1820, and arrive at Philadelphia on the 13th of the 1st month, 182—what is the time of the passage? Ans. 3M. 17D.

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COMPOUND SUBTRACTION.

LAND OR SQUARE MEASURE.
A. R. P. yd. ft. in.
1. From 862 3 36
Take 471 1 38

P. ft. in.

27 7 138

2. 32 261

134

19 268

141

28.25 7 141

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LIQUID MEASURE.
1.

T. pi.hhd. gal.qt. pt.

From 87 1 1 54 0 1 2
Take 68 0 1 61 2 1 3

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COMPOUND MULTIPLICATION.

COMPOUND MULTIPLICATION teaches a short way of doing Compound Addition.

When the multiplier does not exceed 12.

RULE.

Place the multiplier under the lowest denomination of the multiplicand, then multiply, and find how many of the next higher denomination are contained in the product-set down the remainder, and carry the quotient to the product of the next higher denomination, and so proceed.

PROOF.

Double the multiplicand, and multiply it by half the multiplier.

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