## An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic |

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### Common terms and phrases

acres amount annex arithmetical progression balance barrels bushels called ciphers coin column compound contained copper cords cost cube root cubic feet cubic inches currency decimal fraction decimal point denominate number diameter discount divide dividend division equal equivalent fractions EXAMPLES expressed factors farthings Federal money foot gallon geometrical progression give gold grains greatest common divisor Hence hogsheads hundred improper fraction indorsement interest last term least common denominator least common multiple length lowest terms MEASURE method miles mills minuend mixed number months multiplicand Multiply number of days number of terms numerator and denominator obtain OPERATION payment pence pounds present worth quantities quotient rate per cent ratio rectangles Reduce remainder Repeat the Rule rods Septillions shilling tea side silver slabs sought square feet square root subtract subtrahend tens third term Thousands tiply trial divisor Troy Weight units vulgar fraction weight whole number yards

### Popular passages

Page 72 - Divide the greater number by the less, then the less number by the remainder ; thus continue to divide the last divisor by the last remainder, until there is no remainder. The last divisor will be the greatest common divisor. NOTE.

Page 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 111 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.

Page 107 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.

Page 137 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 237 - If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.

Page 236 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.

Page 288 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 288 - When the number of figures is odd, it is evident that the left-hand, or first period, will consist of but one figure. II. Find the greatest square in the first period, and place its root at the right of the number, in the form of a quotient in division, also place it at the left of the number.

Page 131 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet — 1 square yard (sq. yd.) 30^ square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.