Chapter 4.1 and 4.2
- 1. Agenda Monday, Nov. 9 Homework 2 p. 182 # 22 - 30 p. 188 # 3 - 6, 8 - 11, 16 - 23, 36 - 39 Do Now Write down all the divisibility rules you know. Example: a number is divisible by 2 if it ends in 0, 2, 4, 6, or 8 Divisibility rules Exponents Daily Scribe - Danielle
- 2. a number is divisible by 9 i f the sum of its digits is divisible by 9 a number is divisible by 3 i f the sum of its digits is divisible by 3 a number is divisible by 5 i f it ends in 0 or 5 a number is divisible by 10 i f it ends in 0 a number is divisible by 4 i f it's last two digits are divisible by 4 a number is divisible by 2 i f it ends in 0, 2, 4, 6, 8 The Magic Tunnel! grab a number and slide through the tunnel to determine the divisibility rule
- 4. Factors · ·one integer divides into another number with a remainder of zero ··example: factors of 6 are 1, 2, 3, 6
- 5. List the positive factors of: 1. 10 1, 2, 5, 10 2. 21 1, 3, 7, 21 3. 24 1, 2, 3, 4, 6, 8 ,12 ,24 4. 31 1, 31
- 6. Exponents · ·exponents can be used to show repeated multiplication; 2 5 = 2 * 2 * 2 * 2 * 2 ··a power has two parts ··a base and an exponent ··the expression 3 2 is read "three to the second power
- 7. Examples 1. 5 * 5 * 5 = 5 3 2. (-3)(-3) = (-3) 2 read as negative three to the second power When expression involve variables: 4. 4 * b * a * b = 4ab 2 5. -3 * x * x * y * y = -3x 2 y 2 read as the opposite of three times x squared times y squared
- 8. Write the expression using exponents. 1. 4 * 4 * 4 4 3 2. 3 * x * y * y 3xy 2
- 9. -x 4 means the opposite of x to the fourth power (-x) 4 means negative x to the fourth power Evaluate each for x = 2 -2 4 = -2 * 2 * 2 * 2 = -16 (-2) 4 = (-2)(-2)(-2)(-2) = 16 You try: Evaluate -x 4 and (-x) 4 , for x = 3 -x 4 = -3 4 = -3 * 3 * 3 * 3 = -81 (-x) 4 = (-3) 4 = (-3)(-3)(-3)(-3) = 81
- 10. Using Order of Operations Simplify 2(3 + 4) 2 2(7) 2 Parenthesis 2*49 Exponents 98 Evaluate -3x 3 + 4y for x = -2 and y = 4 -3(-2) 3 + 4 * 4 -3 * -8 + 4 * 4 24 + 16 40
- 11. Your turn. 1. Simplify 2 * 5 2 + 4 * (-3) 3 2 * 25 + 4 * -27 50 + - 108 -58 2. Evaluate 3a 2 + 6, for a = -5 3(-5) 2 + 6 3 * 25 + 6 75 + 6 81
- 12. Attachments