## Introduction to the National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods |

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acres added addition amount annex answer barrel bill Bought bushels called cents ciphers cloth column common common divisor compound containing cords cost cube cubic decimal denominator diameter difference discount Divide dividend division divisor dollars English equal EXAMPLES FOR PRACTICE expressed factors feet figure five flour four fraction gain gallons given gives grains greatest Hence hogshead hundred inches interest John kind land least length less MEASURE method miles mills months multiplicand Multiply nine Note obtain OPERATION paid payment pence period piece pounds prime principal proof purchase quantity quarts quotient ratio reason received reduce remainder rods root rule seven shillings side simple sold solid square subtract tens third thousand tons true units weight whole number worth write yards

### Popular passages

Page 158 - Now, to obtain | of £, we simply multiply the numerators together for a new numerator, and the denominators together for a new denominator (Art.

Page 46 - The Dividend is the number to be divided. The Divisor is the number by which we divide.

Page 145 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.

Page 136 - The Greatest Common Divisor of two or more numbers is the greatest number that will divide each of them without a remainder. Thus 6 is the greatest common divisor of 12, 18, and 24.

Page 69 - The units or denominations of United States money increase from right to left, and decrease from left to right, in the same manner as do the units of the several orders in simple numbers ; and may, therefore, be added, subtracted, multiplied, and divided in like manner as simple numbers.

Page 283 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.

Page 209 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. 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 ail the payments are absorbed; provided the time between one payment and another be one year or more.

Page 143 - Multiply the whole number by the denominator of the fraction, and to the product add the numerator, and place the sum over the given denominator. NOTE. — To reduce a whole number to a fraction of the same value, having a given denominator, we multiply the whole number by...

Page 275 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

Page 189 - 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.