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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

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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.

+

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addition

subtraction

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multiplication

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division

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proportion

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square root

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plus or more, as 5+3=8. minus or less, as 8-35. multiplied by, as 8 x 3 = 24. divided by, 24÷4-6 or 26. that 2 is to 3 as 4 is to 6, &c. evolution, or the extr". of roots; thus, 648 and 3/644. involution, or the raising of powers;

thus, 4216, and 43 64.

{that, 3 plus 5, or 8 multiplied

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.

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2 gallons

1 gill.

1 pint

= 1 quart.

1 gallon.

GRAIN, FRUITS, &c.

1 peck.

= 1 quarter. = 1 load.

4 pecks, or 2218.192 cubic inches...... 1 bushel.

8 bushels

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= 1 pennyweight. = 1 ounce

1 pound.

= 1 dram.

= 1 ounce.

1 pound. = 1 stone.

= 1 quarter.

= 1 cwt.

= 1 ton.

BRITISH SPECIAL MEASURES.

1. Lineal measures for land.

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= 1 link.

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yards

Square inches

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DECIMAL APPROXIMATIONS FOR FACILITATING CALCULATIONS IN MENSURATION.

Lineal feet multiplied by 00019 = miles.

وو

square feet.
acres.
=square feet.

cubic feet.

=

0002067

0004546

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cubic yards.

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cubic feet.

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