## Introduction to The National Arithmetic: On the Inductive System : Combining the Analytic and Synthetic Methods in which the Principles of the Science are Fully Explained and Illustrated : Designed for Common Schools and Academies |

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acres added addition amount answer barrel bill Bought bushels called cent ciphers circle column common common denominator common divisor compound containing cords cost cube cubic decimal denominator diameter difference discount Divide dividend division divisor dollars equal EXAMPLES FOR PRACTICE expressed extremes factors feet figure five flour four fraction gain gallons Give given Hence hundred inches interest land leaves length less loss measure method miles mills mixed number months Multiply nine NOTE obtain OPERATION paid payment period pounds prime principal proof proportion purchase quantity QUESTIONS quotient ratio reason received Reduce remainder rods rule rule for finding sell seven share shillings side simple sold solid square square root subtract tens third thousand tons units weight whole number wide worth write yards

### Popular passages

Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 145 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 155 - Multiplication is the process of taking one number as many times as there are units in another.

Page 132 - RULE. — Divide the given number by any prime number, greater than 1, that will divide it, and the quotient, if a composite number, in the same manner; and continue dividing until a prime number is obtained for a quotient. The several divisors and the last quotient will be the prime factors required.

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.

Page 285 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.

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 86 - Weight is used in mixing medicines. TABLE. 20 Grains (gr.) make 1 Scruple, sc. or B 3 Scruples " 1 Dram, dr. or 3 8 Drams

Page 231 - Boston $1000, $250 of which is to be paid in 4 months, $350 in 8 months, and the remainder in 12 months ; what is the average time for the payment of the whole sum"?

Page 231 - Multiply each payment by the time before it is due, then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.