A New Introduction to the Science of Algebra...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 63
... 4th 2x2x2x2x2 = 32 , is the 5th power of 2 . The number itself , with reference to its powers , is called the root ; thus , 2 is the 2d or square root of 4 , the 3d or cube root of 8 , the 4th root of 16 , & c . The degree of the power ...
... 4th 2x2x2x2x2 = 32 , is the 5th power of 2 . The number itself , with reference to its powers , is called the root ; thus , 2 is the 2d or square root of 4 , the 3d or cube root of 8 , the 4th root of 16 , & c . The degree of the power ...
Σελίδα 64
Silas Totten. Table of the first Nine Powers of Numbers . 1st . 2d . 3d . 4th . 5th . 6th . 7th . 8th . 9th . 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64 128 256 512 3 9 27 81 243 729 2187 6561 19683 4 16 64 256 1024 4096 16384 65536 262144 5 25 ...
Silas Totten. Table of the first Nine Powers of Numbers . 1st . 2d . 3d . 4th . 5th . 6th . 7th . 8th . 9th . 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64 128 256 512 3 9 27 81 243 729 2187 6561 19683 4 16 64 256 1024 4096 16384 65536 262144 5 25 ...
Σελίδα 65
... power . 42 = 16 26 = 64 is the 2d power of 4 . is the 6th power of 2 . 1328561 is the 4th power of 13 . ( 53. ) When two or more powers are multiplied together , their product is that power whose exponent is the sum of the exponents of ...
... power . 42 = 16 26 = 64 is the 2d power of 4 . is the 6th power of 2 . 1328561 is the 4th power of 13 . ( 53. ) When two or more powers are multiplied together , their product is that power whose exponent is the sum of the exponents of ...
Σελίδα 66
Silas Totten. 3. What is the 8th power of 4 ? 4x4x4x4x4x4x4x4 = 65536 ; or , 4 x 4 = 48 ; that is , 256 x 256 = 65536 ... 4th power of 0,05 ? 7. What is the 2d power of 899 ? 8. What is the 6th power of 26 ? 9. What is the 2d power of ...
Silas Totten. 3. What is the 8th power of 4 ? 4x4x4x4x4x4x4x4 = 65536 ; or , 4 x 4 = 48 ; that is , 256 x 256 = 65536 ... 4th power of 0,05 ? 7. What is the 2d power of 899 ? 8. What is the 6th power of 26 ? 9. What is the 2d power of ...
Σελίδα 80
... power what- ever , and the resulting numbers will be proportional , as will be seen from the following examples : -- The square , The cube , 4 : 3 = 129 . 169 144 ,: 81 . = 64 27 1728 729 . - The fourth power , 256 : 81 20736 : 6561 ...
... power what- ever , and the resulting numbers will be proportional , as will be seen from the following examples : -- The square , The cube , 4 : 3 = 129 . 169 144 ,: 81 . = 64 27 1728 729 . - The fourth power , 256 : 81 20736 : 6561 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x added algebraic quantity antecedents Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction dividend division dollars evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letters logarithms lowest terms mean terms multiplicand Multiply nator nth root number of terms obtain operation polynomial Prod quan quotient ratio remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity Va² vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 268 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Σελίδα 136 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Σελίδα 167 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.
Σελίδα 277 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.
Σελίδα 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Σελίδα 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 267 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.