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Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 3CE
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i. DU 1Iot WOIK TOU Ilaru.) 11. Determine whether each of the following numbers is prime: а. 667 12. The numbers 2 and 3 are consecutive whole numbers, each of which is a prime. Is there another pair of consecutive whole numbers, each of which is a prime? If there is, find such a pair; if not, explain why. 13. Test each of these numbers for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, and 18. b. 289 с. 3501 d. 47 X 61 е. 4319 f. 293 a. 540 b. 150 с. 145 d. 369 е. 840 14. Which of these numbers are prime? For those not prime, give the prime factorization а. 29 X 23 b. 5992 с. 127 d. 121 e. 312 f. 1247 g. 3816 15. Here is an interesting conjecture that mathematicians are uncertain about even though it has been studied for more than 100 years: Every even number greater than 2 can be written as the sum of two primes (Goldbach's conjecture). Test the conjecture for the even numbers through 36. 16. Devise a way of checking whether or not a number is divisible by 24. Test your method on 36 and on 120. 17. Are every two different primes relatively prime? Explain. 18. Which pairs of numbers are relatively prime? а. 2, 5 b. 2, 4 с. 2, 6 i. 3,8 d. 2, 7 g. 8, 9 19. Give an example of two 3-digit no е. 2, 8 k. 121, 22 f. 2,9 1. 39, 169 h. 8, 12 j. 40, 42
Transcribed Image Text:i. DU 1Iot WOIK TOU Ilaru.) 11. Determine whether each of the following numbers is prime: а. 667 12. The numbers 2 and 3 are consecutive whole numbers, each of which is a prime. Is there another pair of consecutive whole numbers, each of which is a prime? If there is, find such a pair; if not, explain why. 13. Test each of these numbers for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, and 18. b. 289 с. 3501 d. 47 X 61 е. 4319 f. 293 a. 540 b. 150 с. 145 d. 369 е. 840 14. Which of these numbers are prime? For those not prime, give the prime factorization а. 29 X 23 b. 5992 с. 127 d. 121 e. 312 f. 1247 g. 3816 15. Here is an interesting conjecture that mathematicians are uncertain about even though it has been studied for more than 100 years: Every even number greater than 2 can be written as the sum of two primes (Goldbach's conjecture). Test the conjecture for the even numbers through 36. 16. Devise a way of checking whether or not a number is divisible by 24. Test your method on 36 and on 120. 17. Are every two different primes relatively prime? Explain. 18. Which pairs of numbers are relatively prime? а. 2, 5 b. 2, 4 с. 2, 6 i. 3,8 d. 2, 7 g. 8, 9 19. Give an example of two 3-digit no е. 2, 8 k. 121, 22 f. 2,9 1. 39, 169 h. 8, 12 j. 40, 42
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