This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1872. Not illustrated. Excerpt: ... 14. How many boxes of soda, each weighing 24 pounds, at 12 cents a pound, would be required to pay for 8 sacks of rice, each containing 84 pounds, at 9 cents per pound? Ans. 21 boxes. Note. Cancellation may be applied to Fractions, Proportion and various other Rules of Arithmetic. It teaches no new principks, but simply serves to shorten the mechanical operations in working examples. PBOPEKTIES AND RELATIONS OF NUMBEKS. Article 79. One number is said to be a Divisor or Measure of another when the former is contained in the latter without a remainder. Thus, 6 is a divisor of 12; 5 is a divisor of 15. Name a divisor of 21; of 30; of 42; of 45; of 72; of 84. An Even number can be divided by 2 without a remainder; 2, 4, 6, etc. are even. An Odd number cannot be divided by 2 without a remainder; thus 1, 3, 5, 7, etc. are odd numbers. Give all the even numbers up to 40. Give all the oda numbers to 43. Akt. 80. All numbers are either prime or composite. A Prime number is one that can be divided only by itself and 1. Thus, 2, 3, 5, 7 and 11 are prime numbers. A Composite number is one that can be divided by some whole number besides itself and 1. Thus, 12 is a composite number, because it can be divided by 2, 3, 4 and 6. Mention all the prime numbers up to 43. Give all th« wmpotite numbers up to 50. All prime numbers are odd, with the exception of the number 2, which is even. Art. 81. A prime factor of a number is a prime number that will exactly divide it; thus, 3 is a prime factor of 15; 7 is a, prime factor of 21. Give a prime factor of 9; of 15; of 18; of 21; of 25; of 30; of 35. Art. 82. To resolve a number into its prime factors is to find what prime numbers multiplied together will produce the given number. Thus, the prime factors of 30 are 2, 3 and 5 for ea...
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