Ex. 1. Add into one sum the following integers and decimals. 16.625; 11.4; 20-7831; 12.125; 8.04; and 7-002. 16.625 11.4 20.7831 12.125 8.04 7.002 75.9751 the sum required. Ex. 2. Subtract 119.80764 from 234 98276. 234-98276 119.80764 115.17512 the remainder required. Ex. 3. Multiply 62.10372 by 16.732. 62.10372 16.732 12420744 18631116 43472604 .37262232 6210372 1039-11944304 = the product required. Observe that the number of figures in the product from the right hand, accounted as decimals, are equal to the number of decimals in the multiplier and multiplicand taken together. Ex. 4. Divide 39.375 by 9.25. 9.25) 39.375 (4.256 the quotient required. 3700 2375 5250 4625 Observe that the number of decimals in the divisor and quotient together, must be equal to the number in the dividend. 6250 5550 700 Note. The operation might be still continued, so as to reduce the quotient to a degree of greater exactitude, but in practice it is quite unnecessary, being even now reduced to a measure of greater nicety than is commonly required. Definitions of Arithmetical signs employed in the following calculations, which ought to be particularly attended to. = = sign of equality, and signifies equal to, as 3 added 4 = 7. to be cubed 3/ 42 to be squared 3+5x432 √/52-32=4 plus or more, as 5+ 3 = 8. minus or less, as 8-3=5. multiplied by, as 8 × 3 = 24. divided by, 244-6 or 26. that 2 is to 3 as 4 is to 6, &c. evolution, or the extr". of roots; thus, 648 and 3/64 4. involution, or the raising of powers; = thus, 4216, and 43 = 64. that, 3 plus 5, or 8 multiplied by 4=32. 5 squared, minus 3 squared, the square root of the remainder = 4. =2, 20 multiplied by 12, and divided by 30, the cube root of the quotient 2. BRITISH STANDARD MEASURES. 1. Measures of length. 12 inches 3 feet... 5 yards 40 poles.. =1 foot. =1 yard. 1 pole or rod. =1 furlong. 8 furlongs, 1760 yards, or 5280 feet...1 mile. 2. Measures of surface, or square measure. 144 square inches 9 square feet 304 square yards... 4 roods, or 4840 square yards 3. Measures of solidity, or cubic 1728 cubic inches 27 cubic feet =1 square foot. measure. 1 cubic foot. =1 cubic yard. 1 gill. = 1 pint 4 quarts, or 2774 cubic inches 2 gallons = 1 quart. =1 gallon. 4 pecks, or 2218.192 cubic inches...... 8 bushels 5 quarters.... BRITISH SPECIAL MEASURES. 1. Lineal measures for land. 7.92 inches 100 links, or 22 yards... 80 chains 69 121 miles....... 2. Square measures for land. 62.7264 square inches.. 10,000 square links... 10 square chains 3. Nautical measures. 6082.66 feet 3 miles 20 leagues... 360 degrees = 1 link. = 1 chain. =1 geog. degree. =1 square link. =1 nautical mile. = 1 league. the earth's cir- Miscellaneous special measures. 6 lineal feet 100 square feet 272 sq. feet, at 14 in. in thickness 600 square feet of inch boards... 40 cubic feet of round =1 fathom. 1 square of flooring. 1 rod of brick-work. 1 load. 50 cubic feet of hewn timber} = 1 ton or load. 40 cubic feet 120 deals... 120 nails. 1200 do. =1 ton of shipping. 1 hundred. 1 thousand. |
