RULE.

Add as in whole numbers, and from the fum or difference, cut of fo many places for decimals, as are equal to the greatest number of decimal places in any of the given numbers.

(7) Let 3746+137.5+1.3+7+375 +1.85+.0735285 +87395. 4+8. 7386429+127+5. 275 be added together. Anfr. 88053.5508714.

SUBSTRACTION of DECIMALS:

RULE.

AVING first fet down the greater of the two

HAN

numbers given (whether it be a whole number, mixed number, or a decimal) fet down the lefs under it, according to the directions given in Addition, then fubftract as in whole numbers, imagining all the vacant places filled with cyphers,

(6) 684.-9.3275 =674.6725

(7) 1081.761-10.000121071.76083

(8) 761.3109-18.9112 = 742.8997

(9) Let 375.5 be diminished, or made lefs by .9763 7387 and fhew their difference. Anfr. 374.52362 613.

Mul

W

gers.

Multiplication of Decimals.

CASE I.

HEN both factors are finite decimals, whether they be pure, or joined with inte

RULE.

Multiply them as if they were all whole numbers, and from the product (towards the right hand) cut off fo many places for deeimal parts in the product, as there are in both the multiplier and multiplicand counted together. But if it fo happens, that there are not fo many places in the product, fupply the defect by prefixing cyphers.

Two decimal fractions being given to referve in their product a number of places.

RULE.

Set the units place of the multiplier directly under that figure of the decimal part of the mu tiplicand, whofe place you would referve in the product, and invert the order of all its other places, that is write the decimals on the left hand, and the integers, if any, on the right.

Then in multiplying, always begin at that figure of the multiplicand, which stands over the figure of cach particular product directly underneath one another, due regard being had to the increase, which would arife out of the two next figures to the right hand of that figure in the multiplicand, which you then begin with: carry one from 5 to 15, two from 15 to 25, three from 25 to 35, &c. and the fum of thefe lines will give the product.

(1) Let 73.8429753 be multiplied into 4.628754, referving only 5 places of decimal parts in the pro

(2) Let 843 7527 be multiplied into 2634.875 referving only the integers in the product. Anfr. 7285699. or 7285699.0951125.

(3) Multiply 34.672158 by 36.8345 fo as to have only four decimal places in the product. Anfr. 14:69.2065.

(4) Multiply 3.141592 by 52.7438 fo as to have only four decimal places in the product. Anfr. 165.6995.

DIVISION of DECIMALS.

N any of the following cafes in divifion, if the dividend be greater than the divifor, the quotient will be either a whole, or a mixt number; but when the dividend is lefs than the divifor, the quotient must neceffarily be a fraction: for a lefs 1.um

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