Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix |
From inside the book
Results 1-5 of 20
Page 17
... divisible by 9 . For , take any number , as 78534 ; this number is , by the nature of decimal arithmetic , the same ... NUMBERS . 17 Singular property of the figure Prime numbers,
... divisible by 9 . For , take any number , as 78534 ; this number is , by the nature of decimal arithmetic , the same ... NUMBERS . 17 Singular property of the figure Prime numbers,
Page 18
... numbers , we discover that every third term , counting from 3 , is divisible by 3 ; every fifth term , counting from 5 , is divisible by 5 ; every seventh term , counting from 7 , is divisible by 7 , and so on . manner , placed a ...
... numbers , we discover that every third term , counting from 3 , is divisible by 3 ; every fifth term , counting from 5 , is divisible by 5 ; every seventh term , counting from 7 , is divisible by 7 , and so on . manner , placed a ...
Page 20
... digit . Any number which ends with 5 , is divisible by 5 ; hence it follows that all primes , except 2 and 5 , must end with one of the figures , 1 , 3 , 7 , or 9 . When it is required to determine whether a given number is a prime , we ...
... digit . Any number which ends with 5 , is divisible by 5 ; hence it follows that all primes , except 2 and 5 , must end with one of the figures , 1 , 3 , 7 , or 9 . When it is required to determine whether a given number is a prime , we ...
Page 21
... number when divided by an even number , must leave an odd number for remainder . Hence , any odd number divided by 6 , must give 1 , 3 or 5 , for a remainder ; if the remainder is 3 , the number must have been divisible by 3 , since the ...
... number when divided by an even number , must leave an odd number for remainder . Hence , any odd number divided by 6 , must give 1 , 3 or 5 , for a remainder ; if the remainder is 3 , the number must have been divisible by 3 , since the ...
Page 34
... number , does not alter the value of the fraction . IV . That , dividing the numerator of a fraction by any number ... divisible by 2 . 2. If any number terminate on the right with zero , or 5 , the whole will be divisible by 5 . 3. When ...
... number , does not alter the value of the fraction . IV . That , dividing the numerator of a fraction by any number ... divisible by 2 . 2. If any number terminate on the right with zero , or 5 , the whole will be divisible by 5 . 3. When ...
Other editions - View all
Common terms and phrases
acres added amount of $1 annuity approximative values arith arithmetical progression bushels canceling ciphers common denominator common difference composite number compound interest continued fraction cube root decimal figures denoted digits diminished discount dividend divisible by 9 equal EXAMPLES exponent feet following RULE fraction is equivalent gallons geometrical progression given principal gives greatest common measure half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less lowest terms method metical progression miles mixed number months multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain odd number Operation partial fraction perfect repetend pounds present worth prime factors prime number quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure rods Rule under Art shillings square root subtract third term Total branches trial divisor twice the product unit vulgar fraction whole number yards
Popular passages
Page 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 311 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 24 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 134 - ... apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and...
Page 39 - 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 134 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 212 - Hence, when we have giveh the first term, the common difference, and the number of terms, to find the last term, we have this RULE.
Page 325 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Page 11 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.