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# Chapter 4.3 a

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### Chapter 4.3 a

1. 1. Agenda Tuesday, Nov. 9 homework 2 p. 193 #2 - 20, 25 - 28 Do Now Write using exponents 1. 3 * x * y * x 3x2 y 2. a * b * a * b * b * -2 -2a2 b3 3. Evaluate: 4x2 + 3 for x = -5 4(-5)2 + 3 4 * 25 + 3 100 + 3 = 103 Correct homework 4-3 Prime Factorization & Greatest Common Factor Daily Scribe -
2. 2. p. 182 22. 111 is divisible by 3 because 1 + 1 + 1 =3 23. 131 - none 24. 288 is divisible by 2, 3 & 9 because it ends in 8, 2 + 8 + 8 = 18 which is divisible by 3 and 9. 25. 300 is divisible by 2, 3, 5, 10 because it ends in 0 and 3 + 0 + 0 = 3 26. 52 is divisible by 2 because the number ends in 2. 27. 891 is divisible by 3 and 9 because 8 + 9 + 1 = 18 which is divisible by 3 and 9. 28. 4,805 is divisible by 5 because it ends in 5. 29. 437,684 is divisible by 2 because it ends in 4. 30. a. and b. ~ 66 and 4,710 c. An integer is divisible by six if it is an even number and the sum of its digits is divisible by 3.
3. 3. p. 188 3. -7a2 b 4. 52 a2 or 25a2 5. 95 6. (-5)4 8. 43 = 64 9. 26 = 64 10. (-4)3 = -64 11. -43 = -64 16. -32 + 5*23 = 31 17. 2(9 - 4)2 = 50 18. 25 - (3 * 2)2 = -11 19. 2 * (-2)4 + 101 = 42 20. 3a2 - 2 3(5)2 - 2 = 73 21. c3 + 4 (-6)3 + 4 = -212 22. -4y2 + y3 -4(3)2 + 33 = -9 23. 2m2 + n 2(-3)2 + 4 = 22 36. 8 - x3 8 - (-2)3 = 16 37. 3(2m + 5)2 3(2(2) + 5)2 = 243 38. 4(2y - 3)2 4(2(5) - 3)2 196 39. y2 + 2y + 5 (-6)2 + 2(-6) + 5 29
4. 4. A Prime number can only be divided evenly by itself AND one. One is not a prime because it can ONLY be divided evenly by one.
5. 5. Are these number Prime or Composite?
6. 6. Prime factorization - a composite number written as the product of it's prime factors Divide by prime numbers beginning with 2. 182 93 3 Gather the primes and put in exponential form. 2*3*3 2*32
7. 7. How Do You Find the Greatest Common Factor (GCF) Using Prime Factorization?
8. 8. Prime Factors of 20Prime Factors of 12 Greatest Common Factor (GCF) 1) Which numbers are in both circles? 2, 2 2) Find the product of the numbers that are in both circles. 4
9. 9. Prime Factors of 20Prime Factors of 12 20 = 2 x 2 x 512 = 2 x 2 x 3 3 2 2 5 The Greatest Common Factor (GCF) is the product of the common prime factors. The GCF of 12 and 20 is 4. Move the rectangle to check your answer.
10. 10. Prime Factors of 28Prime Factors of 16 28 = 2 x 2 x 716 = 2 x 2 x 2 x 2 Directions: Find the prime factorization of each number. Use the Venn diagram below to show the prime factors of 16 and 28. Then use it to find the GCF.