Introduction to the National Arithmetic ...R.S. Davis, 1851 |
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Page 6
... Root , Application of the Square Root , Extraction of the Cube Root , Application of the Cube Root ,. SECTION XL . · 263 264 · 268 • • 273 277 ARITHMETICAL PROGRESSION , 279 SECTION XXII . PERCENTAGE , 196 Annuities at Simple Interest ...
... Root , Application of the Square Root , Extraction of the Cube Root , Application of the Cube Root ,. SECTION XL . · 263 264 · 268 • • 273 277 ARITHMETICAL PROGRESSION , 279 SECTION XXII . PERCENTAGE , 196 Annuities at Simple Interest ...
Page 261
... root , a certain number of times continually by itself . The number denoting the power is called the index or expo- nent of the power , and is a small figure placed at the right of the root . Thus , the second power of 6 is written 62 ...
... root , a certain number of times continually by itself . The number denoting the power is called the index or expo- nent of the power , and is a small figure placed at the right of the root . Thus , the second power of 6 is written 62 ...
Page 263
... root of a given power or number , and is therefore the reverse of Involution . A 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 a given power or number , and is therefore the reverse of Involution . A 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 ...
Page 264
... 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 ex- pressed thus , 25 or 25 . NOTE . The index 2 over - is usually omitted , when ...
... 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 ex- pressed thus , 25 or 25 . NOTE . The index 2 over - is usually omitted , when ...
Page 265
... 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 super- ficial contents of which are 400 square feet , as seen in Fig . 1 . 20 feet ...
... 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 super- ficial contents of which are 400 square feet , as seen in Fig . 1 . 20 feet ...
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Introduction to the National Arithmetic, on the Inductive System Benjamin Greenleaf Limited preview - 2023 |
Common terms and phrases
20 per cent annuity answer barrels of flour Bought bushels called cancel ciphers circumference common denominator common difference common divisor compound interest compound numbers containing cords cost cube root cubic feet diameter discount dividend dollars equal EXAMPLES FOR PRACTICE factors farthings find the interest gain gallons Give the reason given number given sum greatest common divisor hogshead hundred improper fraction inches interest of $1 last term least common least common multiple less lower denomination lowest terms miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth principal proportion quantity QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding sell shillings simple fraction sold square feet square rods square root subtract subtrahend thousand thousandths tons United States money vulgar fraction weight whole number write yards
Popular passages
Page 209 - Compute the interest on the principal sum, from the time when the interest commenced, to the first time when a payment was made, which exceeds, either alone, or in conjunction with the preceding payments, if any, the interest at that time due ; add that interest to the principal, and from...
Page 8 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 277 - SPHERE is a solid bounded by one continued convex surface, every part of which is equally distant from a point within, called the centre.
Page 280 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 211 - 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...
Page 279 - ... 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 138 - Mnltiple of two or more numbers is a number that can be divided by each of them without a remainder; thus 12 is a common multiple of 3 and 4.
Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 211 - ... compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year : add it to the sum paid, and deduct that sum from the principal and interest added as above...
Page 306 - To find the solidity, or volume, of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity or volume.