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MISCELLANEOUS EXAMPLES IN ADDITION..

Ex. 1. Add together the following sums: 98764, 397652, 876, 459321, 21, 80, and 76942.

Ex. 2. Add 39764, 47652, 34291, 225, 48, 764871, and 10000 together.

Ex. 3. What is the sum of thirty-five thousand and four; five hun dred and forty thousand, three hundred and nine; four hundred and twenty-seven; fifty thousand nine hundred and eighty'; two millions and five; and seven hundred and seventy-seven?

Ex. 4. When will a child, born in 1806, be forty-nine years old? Ex. 5. How many days are there in the first eight months of the year, when it is not leap-year?

Ex. 6. How old is the world this year, 1808, supposing it was created 4004 years before the birth of Christ?

Ex. 7. A person at his death left 32877. to his widow; to his eldest son he bequeathed 5250l.; and to each of five other children he left a thousand pounds less than to the eldest son: he left also to a nephew 105., and the same sum to be divided among four distant relations; How much money did he leave behind.him?

Ex. 8. The lease of my house was granted me in the year 1793, ninety-nine years; when will it expire?

for:

Ex. 9. How many days will there be between January the first and.. November the 20th, 1808, being leap year, both days inclusive?:

Ex. 10. What do the following sums amount to, 1268+8612+10018275919+8+550099?*

Ex. 11. How many chapters are there in the several books of the New Testament?+

Ex. 12. How many chapters are there in the several books of the Old Testament?

Ex. 13. How many chapters are there in the Bible, which consists of the Old and New Testaments?

Ex. 14. In travelling from London to Bath in a post chaise, for how many iniles shall I have to pay? The distance from London to Hounslow is 10 miles, from Hounslow to Maidenhead is 16 miles, from Maidenhead to Reading 13 miles, from Reading to Speenhamland 16 miles, from Speenhamland to Marlborough is 19 miles, from Marlborough to Chippenham is 19 miles, and from Chippenham to Bath is 13 miles.

Ex. 15. How far is it from London to Harwich? To Romford are 11 miles, from thence to Ingatestone 12 miles, from Ingatestone to Chelmsford 6 miles, from Chelmsford to Colchester are 21 miles, and from Colchester to Harwich 20 miles.

Ex. 16. In travelling post to Margate I pay a shilling a mile: How many shillings shall I have paid at the end of the journey? The distance from London to Dartford is 15 miles; from thence to Rochester is 14 miles; from Rochester to Sittingbourne is 11 miles; from Sittingbourne to Canterbury is 15 miles, and from Canterbury to Margate is 17 miles.

NOTES.

*The pupil may now be taught that the character +, which is called plus, is used to denote Addition, and shews that the numbers between which it stands are to be added together: thus 9+3 shews that nine is to be added to three. Two lines placed thus, signify equal to, therefore when we write 9+3=12, it is the same thing as saying in words, nine added to three are equal to twelve. Again 5-12 +4+9-30; that is, 5 and 12 and 4 and 9 being added together, are: equal to 30..

The learner must refer to the table of contents of his Bible, to ena-ble him to answer this and the two following examples.

SUBTRACTION.

BY SUBTRACTION we find the difference between two numbers.*

Rule (1). Place the lesser number under the greater, so that units may stand under units, tens under tens, &c.; begin at the right hand, and take each figure in the_lower line from the figure above it, and set down the remainder.

(2). If the figure in the lower line be the greater, add ten to the upper one, and then take the lower one from the sum, set down the remainder and carry one to the next lower figure, with which proceed as before. †

(3). When the figure in the lower line is equal to that above it, the difference is nothing, for which a cypher must be set down. ‡

NOTES.

*This character, called minus, when placed between any two numbers, denotes that the smaller number is to be subtracted, or taken from the larger: thus 9 -5 shews that 5 is to be taken from the 9, and we say, 954; that is, 5 subtracted from 9 is equal to 4. Again,

21504-136957809.

+ This operation is commonly called borrowing, and as ten in the right-hand line is equal to only one in that which precedes it on the left, one is only carried to that line. The pupil may ask why the one is added to the lower line, instead of diminishing the upper line by the ●ne borrowed? The question is very proper: and he will see, if he try it, that either mode of operation produces the same result; but the usual method is thought to be the best in practice: thus, if I have to take 28 from 45, I say 9 from 5 I cannot, but 8 from 15 and there remain 7, I carry 1 to the 2, and say, 3 from 4 and there remains 1; the answer is 17. It will be the same if I sav 8 from 15 and there remains 7, and then making the 4 into 3, by taking from it the one I borrowed, I say 2 from 3 and there remains 1; the answer is still 17.

I See Table, p. 7, with explanation.

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PROOF. Add the remainder to the last line, and if the sum be equal

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MISCELLANEOUS EXAMPLES IN SUBTRACTION.

Ex. 1. The invention of gunpowder was discovered in the year 1302: How long is is it since to the present year, 1811?

2. What is the difference between thirty-five thousand three hundred and nine, and nine thousand and ninety-nine.

3. How much does seven hundred six thousand and four exceed fourteen thousand nine hundred and thirty seven?

4. How much does fifteen thousand and five want of twenty-three thousand?

5. The art of printing was discovered in the year one thousand four hundred forty-nine: How long is it since?

6. Coaches were first used in England in the year 1580: How many years is it since?

7. Needle making was introduced into England from India in the year 1545: How many years was that before the present king came to his throne, which was in 1760?-See the Book of Trades.

9. Required the answers of the three following sums: 18045- 9993 2059928; and 258764-49876. .

10. How many more chapters are there in the Old Testament than i in the New ?

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