Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ...Ivison & Phinney, 1847 - 422 σελίδες |
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Σελίδα 90
... prime number . 7. One number is a measure of another , when the former is contained in the latter , any number of ... factors . 9. The aliquot parts of a number , are the parts by which it can be measured or divided without a remainder ...
... prime number . 7. One number is a measure of another , when the former is contained in the latter , any number of ... factors . 9. The aliquot parts of a number , are the parts by which it can be measured or divided without a remainder ...
Σελίδα 92
... factors , and thus the analysis may be continued , until all the factors are prime numbers . 20. The least divisor of every number is a prime number . For , every whole number is either prime , or composite ; ( Art . 160 , Def . 2 ...
... factors , and thus the analysis may be continued , until all the factors are prime numbers . 20. The least divisor of every number is a prime number . For , every whole number is either prime , or composite ; ( Art . 160 , Def . 2 ...
Σελίδα 93
... prime factors ; consequently , the least divisor.of every number must be a prime number . 21. Every prime number except 2 , if increased or diminished by 1 , is divisible by 4. See table of prime numbers , next page . 22. Every prime ...
... prime factors ; consequently , the least divisor.of every number must be a prime number . 21. Every prime number except 2 , if increased or diminished by 1 , is divisible by 4. See table of prime numbers , next page . 22. Every prime ...
Σελίδα 97
... prime factors . ( Art . 161. Prop . 19. ) Ex . 1. Resolve 210 into its prime factors . Operation . 2 ) 210 We first divide the given number by 2 , which is the least number that will divide it with- out a remainder , and which is also a ...
... prime factors . ( Art . 161. Prop . 19. ) Ex . 1. Resolve 210 into its prime factors . Operation . 2 ) 210 We first divide the given number by 2 , which is the least number that will divide it with- out a remainder , and which is also a ...
Σελίδα 98
... prime factors . Solution . — 4—2 × 2 ; and 6—2 × 3 . 3. Resolve 8 into its prime factors . Ans . 8 = 2 × 2 × 2 . Resolve the following composite numbers into their prime factors : 4. 9 . 22. 34 . 40. 57 . 58. 81 . 5. 10 . 23. 35 . 41 ...
... prime factors . Solution . — 4—2 × 2 ; and 6—2 × 3 . 3. Resolve 8 into its prime factors . Ans . 8 = 2 × 2 × 2 . Resolve the following composite numbers into their prime factors : 4. 9 . 22. 34 . 40. 57 . 58. 81 . 5. 10 . 23. 35 . 41 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres amount annexed answer required apiece Arithmetic avoirdupois bank discount barrels bbls bought bushels called cancel ciphers CIRCULATING DECIMALS common fraction composite number compound numbers cost cube decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple less number miles mills mixed number months multiplicand Multiply notation number of days odd number Operation partial product payable pence period pound present worth prime factors prime number principal quotient rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy weight units usury weight whole number wine measure yards
Δημοφιλή αποσπάσματα
Σελίδα 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 76 - Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Σελίδα 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Σελίδα 149 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Σελίδα 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 44 - PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be equal to the greater.
Σελίδα 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 369 - 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.