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10. Nine billion nineteen thousand nineteen, and nineteen hundredths.

11. Twenty-seven, and nine hundred twenty-seven thousandths.

12. Forty-nine trillion, and one trillionth.

13. Twenty-one, and one ten thousandth.

14. Eighty-seven thousand, and eighty-seven millionths. 15. Ninety-nine thousand ninety-nine, and nine thousand nine billionths.

16. Seventeen, and one hundred seventeen ten thousandths. 17. Thirty-three, and thirty-three hundredths.

18. Forty-seven thousand, and twenty-nine ten millionths. 19. Fifteen, and four thousand seven hundred thousandths. 20. Eleven thousand, and eleven hundredths.

21. Seventeen, and eighty-one quatrillionths.

22. Nine, and fifty-seven trillionths.

23. Sixty-nine thousand, and three hundred forty-nine thousandths.

Let the following numbers be written in words.

[blocks in formation]

1. Add 23.61 and 161.5 and 2.6789 and 61.111 and 27.0076 and 116.71 and 6151.7671 together.

[blocks in formation]

RULE. Write the numbers under each other according to their value, add as in whole numbers, and point off from the right hand as many places for decimals as there are in that number which contains the greatest number of decimals.

2. Add together the following numbers: 81.61356, 6716.31 413.1678956, 35.14671, 3.1671, 314.6. Ans. 7564.0052656. 3. What is the sum of the following numbers: 1121.6116, 61.87, 46.67, 165.13, 676.167895 ? Ans. 2071.449495. 4. Add 7.61, 637.1, 6516.14, 67.1234, 6.1234, together.

Ans. 7234.0968.

5. Add 21.611, 6888.32, 3.6167, together.

Ans. 6913.5477.

6. Add seventy-three and twenty-nine hundredths, eightyseven and forty-seven thousandths, three thousand and five and one hundred six ten thousandths, twenty-eight and three hundredths, twenty-nine thousand and five thousandths, together. Ans. 32193.3826.

7. Add two hundred nine thousand and forty-six millionths, ninety-eight thousand two hundred seven and fifteen ten thousandths, fifteen and eight hundredths, and forty-nine ten thousandths, together. Ans. 307222.086446.

8. What is the sum of twenty-three million ten, one thousand and five hundred thousandths, twenty-seven and nineteen millionths, seven and five tenths? Ans. 23001044.500069.

9. Add the following numbers: fifty-nine and fifty-nine thousandths, twenty-five thousand and twenty-five ten thousandths, five and five millionths, two hundred five and five hundredths. Ans. 25269.111505.

10. What is the sum of the following numbers: twenty-five and seven millionths, one hundred forty-five and six hundred forty-three thousandths, one hundred seventy-five and eightynine hundredths, seventeen and three hundred forty-eight hundred thousandths? Ans. 363.536487.

SECTION XXIV.

SUBTRACTION OF DECIMALS.

RULE. — Let the numbers be so written, that_the_separatrix of the btrahend be directly under that of the minuend, subtract as in whole

numbers, and point off as many places for decimals as there are in that number which contains the greatest number of decimals.

[blocks in formation]

Ans. .001.

8. From 96.71 take 96.709.

9. Take twenty-seven and twenty-eight ninety-seven and seven tenths.

thousandths from Ans. 70.672.

10. Take one hundred fifteen and seven hundredths from three hundred fifteen and twenty-seven ten thousandths.

Ans. 199.9327.

11. From twenty-nine million four thousand and five take twenty-nine thousand and three hundred forty-nine thousand two hundred, and twenty-four hundred thousandths.

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11. Multiply 76.81 by 3.2.

OPERATION.

76.81

12. Multiply .1234 by .0046.

OPERATION.

RULE.

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3.2

15362

23043

245.792

.1234

.0046

7404

4936

.00056764

- Multiply as in whole numbers, and point off as many figures for decimals in the product as there are decimals in the multiplicand and multiplier; but, if there should not be so many figures in the product as there are decimals in the multiplicand and multiplier, supply the defect by prefixing ciphers. See Example 12th.

13. Multiply 61.76 by .0071. 14. Multiply .0716 by 1.326. 15. Multiply .61001 by .061. 16. Multiply 71.61 by 365. 17. Multiply .1234 by 1234. 18. Multiply 6.711 by 6543. 19. Multiply .0009 by .0009.1

Ans. .438496. Ans. .0949416.

Ans. .03721061.

Ans. 26137.65.

Ans. 152.2756.

Ans. 43910.073.

Ans. .00000081.

20. Multiply forty-nine thousand by forty-nine thousandths.

Ans. 2401.

21. What is the product of one thousand and twenty-five, multiplied by three hundred and twenty-seven ten thousandths? Ans. 33.5175. 22. What is the product of seventy-eight million two hundred five thousand and two, multiplied by fifty-three hundredths? Ans. 41448651.06. 23. Multiply one hundred and fifty-three thousandths by one hundred twenty-nine millionths. Ans. .000019737. 24. What is the product of fifteen thousand, multiplied by fifteen thousandths? Ans. 225. 25. What will 26.7 yards of cloth cost, at $5.75 a yard ? Ans. $153.52,5. 26. What will 14.75 bushels of wheat cost, at $1.25 a bushel?

27. What will 375.6 pounds of sugar pound?

Ans. $18.43,75. cost, at $0.125 per

Ans. $46.95. cost, at $5.625 a Ans. $149.51,21.

28. What will 26.58 cords of wood cord? 29. What will 28.75 tons of potash cost, at $125.78 per Ans. $3616.17,5.

ton?

30. What will 369 gallons of molasses cost, at $0.375 a gallon? Ans. $138.37,5.

31. What will 97.48cwt. of hay cost, at $1.125 per cwt.? Ans. $109.66,5.

32. What will 63.5 bushels of corn be worth, at $0.78 per

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180x1000-9000

8. Divide 1738 by 13.

OPERATION BY VULGAR FRACTIONS.

1728×19=13280-1728-144-144

[Ans.

RULE. - Divide as in whole numbers, and point off as many deci mals in the quotient as the number of decimals in the dividend exceed those of the divisor; but if the number of those in the divisor exceed that of the dividend, supply the defect by annexing ciphers to the dividend. And if the number of decimals in the quotient and divisor together are not equal to the number in the dividend, supply the defect by prefixing ciphers to the quotient.

9. Divide 780.516 by 2. 43. 10. Divide 7.25406 by 9.57. 11. Divide .21318 by .38. 12. Divide 7.2091365 by .5201. 13. Divide 56.8554756 by .0759.

Ans. 321.2.

Ans. .758.

Ans. .561.

Ans. 13.861+.
Ans. 749.084.

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