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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Page 6
... Square Root , Application of the Square Root , Extraction of the Cube Root , Application of the Cube Root , 272 . 276 281 • 285 212 Table , 214 SECTION XXXIX . SECTION XXIII . ARITHMETICAL PROGRESSION , 287 DISCOUNT , 216 Annuities at ...
... Square Root , Application of the Square Root , Extraction of the Cube Root , Application of the Cube Root , 272 . 276 281 • 285 212 Table , 214 SECTION XXXIX . SECTION XXIII . ARITHMETICAL PROGRESSION , 287 DISCOUNT , 216 Annuities at ...
Page 271
... root of any power is a number which , being multiplied into itself a certain number of times , produces the given power . Thus 4 is the second or square root of 16 , because 4 × 4 : 16 ; and 3 is the third or cube root of 27 , because 3 ...
... root of any power is a number which , being multiplied into itself a certain number of times , produces the given power . Thus 4 is the second or square root of 16 , because 4 × 4 : 16 ; and 3 is the third or cube root of 27 , because 3 ...
Page 272
... root over it , or by a fractional index or exponent . The third or cube root of 27 is expressed thus , 27 , or 27 ; and the second or square root of 25 is expressed thus , 25 , or 251 . NOTE . The index 2 over is usually ... Square Root,
... root over it , or by a fractional index or exponent . The third or cube root of 27 is expressed thus , 27 , or 27 ; and the second or square root of 25 is expressed thus , 25 , or 251 . NOTE . The index 2 over is usually ... Square Root,
Page 273
... root is 2 , which we write in the quotient . As this 2 is in the place of tens , its value is 20 , and represents the side of a square , the area or superficial contents of which are 400 square feet , as seen in Fig . 1 ... SQUARE ROOT .
... root is 2 , which we write in the quotient . As this 2 is in the place of tens , its value is 20 , and represents the side of a square , the area or superficial contents of which are 400 square feet , as seen in Fig . 1 ... SQUARE ROOT .
Page 274
... square of the sum of two numbers is equal to the squares of the numbers , plus twice their product . Thus , 25 being equal to 20 + 5 , its square is equal to the squares of 20 and of 5 , plus twice the ... SQUARE ROOT . [ SECT . XXXvin .
... square of the sum of two numbers is equal to the squares of the numbers , plus twice their product . Thus , 25 being equal to 20 + 5 , its square is equal to the squares of 20 and of 5 , plus twice the ... SQUARE ROOT . [ SECT . XXXvin .
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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 find the interest gallons Give the reason given number given sum greatest common divisor Hence hogshead hundred improper fraction inches interest of $1 least common multiple leaves less miles mills minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth prime factors prime number 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 root subtract subtrahend tens thousand thousandths tons Troy Weight United States money whole number write yards
Popular passages
Page 158 - RULE. — Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 296 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.
Page 187 - 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 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 287 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.
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 138 - The least common multiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.
Page 251 - What is the first rule for finding the cost, when the selling price and the gain or loss per cent. are given * The second rule 1 6.
Page 142 - Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction.
Page 274 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.