## A Complete Arithmetic |

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### Common terms and phrases

acres altitude amount annexing Avoirdupois barrels board foot bought bushels cents ciphers compound interest compound number contains cube root cubic diameter discount divide dividend divisible dollars equal EXAMPLES FOR PRACTICE EXPLANATION.—1 expressed feet figures Find the cost Find the difference Find the interest Find the sum frustum gain gallons geometrical progression given fraction given number gold greatest common divisor Hence the following hundred Illustrate improper fractions inches integer invested least common multiple merchant miles minuend mixed number months multiplicand multiply number of units Observe paid payment PEOB places pounds premium prime factors prime numbers PROB PROP quotient ratio Reduce remainder required number root second step sell shown side simple interest slant height sold SOLUTION.—Since square subtract surface tens third Troy weight wheat whole worth write

### Popular passages

Page 96 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.

Page 369 - How many bricks, 8 inches long, 4 inches wide, and 2 inches thick, will it take to build a wall 40 feet long, 20 feet high, and 2 feet thick ? Ans.

Page 338 - The first term is 2, the last term 512, and the ratio 3 ; what is the sum of all the terms ? Ans. 767. 2. The first term is 4, the last term is 262144, and the ratio is 4 ; what is the sum of the series ? Ans.

Page 49 - The sign of multiplication is X , and is read times or multiplied by.

Page 208 - To divide by 10, 100, 1000, etc., it is necessary only to move the decimal point in the dividend as many places to the left as there are ciphers in the divisor.

Page 208 - To multiply by 10, 100, 1000, etc., it is necessary only to move the decimal point in the multiplicand as many places to the right, annexing ciphers, if necessary, as there are ciphers in the multiplier.

Page 270 - FIVE HUNDRED DOLLARS, value received, and charge the same to the account of EB SMITH & Co.

Page 223 - 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 251 - RULE. Divide the given interest by the interest of $1 for the given time at the given rate. EXAMPLES FOR PRACTICE.

Page 345 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.