## 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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### Common terms and phrases

annexed barrels of flour bill Bought bushels called ciphers circumference column common denominator common difference common fraction composite number compound interest compound numbers containing cords cost cube root cubic feet currency decimal diameter discount divide the product dividend division dollars equal Examples for Practice farthings gallons given number given sum greatest common divisor Hence hogshead hundred improper fraction inches interest of $1 least common multiple leaves 12 leaves leaves leaves less miles mills minuend mixed number molasses months multiplicand Multiply Note number of terms obtain operation paid payment pence present worth prime factors principal purchase quantity quarts Questions quotient rate per cent ratio received Reduce remainder rule for finding shillings side simple numbers sold solid square feet square rods square root subtract subtrahend thousand thousandths tons Troy Weight United States money whole number 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.