THE METRIC SYSTEM. The Metric System is a decimal system of ineasures and weights used in France and many other countries. It corresponds to our decimal system and is likely to become general, as the benefits of a general system are obvious. The units of this system are the Metre, the Are (pronounced air), the Litre (pronounced leetur), the Gram, and the Stere (pronounced Stare). The unit holds a central position as in abstract numbers, and the orders to the left increase by tens, and are designated by the prefixes deca, hecto, kilo, and myria, whilst the decimals to the right diminish by tenths, hundredths, etc., and are designated by the prefixes deci, centi, and milli. The unit of length is the Metre from which the name of the system is derived, and its length is too oo ooo of an arc of 90 degrees or ļ the circumference of the earth, and equals 39.37079 inches. 66 66 10 metres 1 decametre 393.7079 10 decametres 1 hectometre 3937.079 10 hectometres 1 kil'ometre 39370.79 10 kilometres 1 myr'iametre = 393707.9 The kilometre is the unit for expressing long distances. The unit of Surface is the are, which is a square decametre, or a square whose side is 10 metres. The hectare is the unit of measure for land. The unit of capacity is the Litre, which is equivalent to a cube whose edge is to of a metre, and is a little more than a quart liquid measure. The unit of Liquid Measure is the Litre, and the hectolitre of Dry Measure. In the measurement of wood, the kilolitre or cubic metre is the unit, and is called the Stere; it equals.2759 of a cord, and 10 steres = 1 dec'astere = 2.759 cords. WEIGHTS. = = 10 mwigrams 1 centigram. 1 Gram = nearly 154 gr. 10 Grams 1 decagram. 1 tonneau. The kilogram is the unit in general dealings, but in very large quantities the tonneau is used. We numerate the several denominations as we do abstract numbers, regarding but the one name, as Metre, Are, Litre, and Gram, or by the unit applied to the particular case, and all computations are the same as abstract numbers or U. S. money. TEST EXAMPLES 1. The sum of two numbers is 504, and one of the numbers is 253; what is the other number? Ans. 251. 3. The sum of two numbers is 753, and the one is 51 more than the other; what are the numbers ? Ans. 351 and 402. 3. The product of two numbers is 255, and one of the numbers is 17; what is the other number ? Ans. 15. 4. The product of three factors is 3276; two of the factors are 12 and 21 ; what is the other factor ? Ans. 13. by 12? 5. The divisor is 14, the quotient 35, and the remainder 5; what is the dividend ? Ans. 495. 6. What is the quotient of 65 bu. 1 pk. 3 qt. divided Ans. 5 bu. 1 pk. 64 qt. 7. In 7960 farthings, how many pounds ? Ans. £8. 8. In £9 10s. 8d. 3 far., how many farthings? . Ans. 9155 far. 9. Multiply 3 years 7 months and 20 days by 5. Ans. 18 y. 2 m. 10 d. 10. To what term in division does the numerator of a fraction correspond ? the denominater ? the fraction itself? 11. In the multiplication of decimals, how does the number of decimals in the product compare with that of the factors ? 12. What is the quotient of divided by 3? Ans. Bet 13. What is the product of a fraction multiplied by its denominator? Give an example. 14. In the division of decimals, how does the number of decimals in the dividend compare to that of the divisor and quotient ? 15. What do you do when the divisor has more decimals than the dividend ? 16. When there is a remainder in the division of decimals, can you form a common fraction with it and the divisor, as in the division of integers ? 17. When the dividend and divisor ha the same number of decimals, how may they be regarded ? 18. How do you reduce an integral number to a fraction of any given denominator ? a 19. How do you reduce a fraction to its lowest terms ? 20. How do you reduce fractions to the least common denominator ? 21. Reduce 1, $, 1, $ and to the least common denominator, and then find their sum. Ans. Com. Den., 60; sum, 317. 22. What is the difference between 4 and 3 ? Ans. 23. Multiply by and explain the process. Ans. š. 24. Divide the same and explain the process. Ans. 8. 25. Is it necessary that fractions have a common denominator in order to add or subtract them? Is it necessary in order to multiply them? To divide them ? 26. How many seconds in a year of 365 days ? Ans. 31536000 sec. 27. How many seconds in the circumference of a circle ? Ans. 1296000". 28. Is there any difference in the number of seconds in a large or a small circle ? 29. The length of the front building of a house is 54 feet and the width 36 ft., the length of the wing is 48 ft. and the width 18 ft.; what is the greatest leugth of boards with which to weatherboard it without cutting Ans. 6 feet. 30. Put .375 in the form of a common fraction, and reduce it to its lowest terms. 31. Is any even number a prime number? 32. What is the shortest method of dividing by a fraction ? 33. What is the shortest method of multiplying a number of fractions ? a any of them? Ans. |