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Fifty-nine units ; fifty-nine thousand millionths.

18.

Eighteen units ; four hundred and sixty-three thousandths.
Nine units; eight hundred and forty-three millionths.

Twenty-two units ; eleven thousand and one hundredths of thousandths.

ne units ; ninety-nine hundredths of thousandths, Eighty-eight units; nine millionths. Four units ; eight hundred and eighty-eight thousandths.

METHOD OF PROVING ADDITION.

1. Commence at the top instead of the bottom of the several columns, and if the same answer is obtained, it may be considered as right.

2. Draw a line and cut off the upper figure of all the orders. Add the remainder which is not cut off. Then add the sum of this remainder to the figures cut off, and if the answer is the same as the first answer, it may be considered as right.

COMPOUND ADDITION. In order to understand the following sums, the pupil must commit to memory the tables inserted in the com. mencement of the book.

Sums for Mental Exercise. If a man has 2 lbs. 10 oz. of beef, and buys 6 lbs. 8 oz. more, how much has he in the whole ? First add the ounces. In 18 oz, how many pounds, and how many ounces over? Set down the ounces that are over, and add the pound to the other pounds, and what is the answer ?

A boy has 3 yards 2 quarters of cloth, and buys 2 yards and 3 quarters more, how much has he in the whole ?

One man buys 3 bushels and 2 pecks of grain, another buys 2 bushels and 3 pecks, how much do both together

buy?

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If you have 1 quart and 1 pint of milk, and buy 2 quarts and i pint more, how much will you have ?

One rope is 3 feet, 7 inches long; another is 4 feet, 6 inches ; how many feet are there in both together ?

If 2 weeks 4 days be added to 1 week 5 days, how many weeks will there be in all ?

If 6 pounds 9 oz. be added to 5 pounds 8 oz. how ma. ny pounds will there be in all ?

If 3 bushels 2 pecks be added to 4 bushels 3 pecks, how many bushels will there be ?

1f 7 yards 2 quarters be added to 8 yards 3 quarters, how many yards will there be ?

RULE FOR COMPOUND ADDITION. Place units of the same order in the same column. Find the sum of each order. Find how many units of the next higher order are contained in the sum, and carry them to that order. Set the remainder under the order added.

EXAMPLE.
£. S. d.
5 6 8
4 9 9
9 9,, 9,5

:

19,5,10 Let the pupil add thus : 5 pence added to 9 are 14, and 8 are 22 pence. This sum contains 1 of the order of shil. lings, to be carried to that order, and 10 to be written un. der the order added. One shilling carried to 9 makes 10, and 9 are 19, and 6 are 25 shillings. This sum con. tains 1 of the order of pounds, to be carried to that order, and 5 of the order of shillings, to be written under that or. der. I pound carried to 9 makes 10, and 4 are 14, and 5 are 19 pounds, which are written under that order.

Accustom the pupils to add in this manner; also require them to separate their orders in Compound Addition by double commas, as in the above sum.

What is the rule for compound addition ? Add the sums in the manner given above.

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26 19

Ans. 19 , 11 , 9

3 4 Those pupils who have not practised the rule of simple division, may omit the following exercise and begin at Addition of Vulgar Fractions.

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LAND, OR SQUARE MEASURE. acres. roods, rods.

sq. ft. sq. in. 478 3 31

13 142 816 2 17

16 26 49 1 27

3 66 63 3 34

14 84

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ADDITION OF VULGAR FRACTIONS.

Sums for Mental Exercise. If one boy has one half an orange, and another three halves, and another four halves, how many halves are there in all ?

If one third of a dollar, five thirds, and six thirds, be ad. ded together, how many are there in all ?

One man owns four twentieths of a building, another six twentieths, and anothér eight twentieths, how many twentieths do all own ?

Seven thirtieths, nine thirtieths, and six thirtieths, are how many ?.

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