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Transparency 2. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Lesson 2 Contents. Objective. Use divisibility rules for 2, 3, 4, 5, 6, 9, 10. Lesson 2 Contents. Vocabulary. Divisible

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Lesson 2 Contents Objective Use divisibility rules for 2, 3, 4, 5, 6, 9, 10

  4. Lesson 2 Contents Vocabulary Divisible When the first number is divided by the second number and the remainder is 0 10 ÷ 2 = 5 (divisible) 11 ÷ 2 = 5 r 1 (not divisible)

  5. Lesson 2 Contents Vocabulary Even A whole number that is divisible by 2 2, 4, 6, 8, . . .

  6. Lesson 2 Contents Vocabulary Odd A whole number that is not divisible by 2 1, 3, 5, 7, 9, . . .

  7. Example 2-1a Divisibility Rules A whole number is divisible by: Example 2 if the ones digit is divisible by 2 2, 4, 6, 8, 10, 12, . . . 403,916

  8. Example 2-1a Divisibility Rule A whole number is divisible by: Example 3 if the sum of the digits is divisible by 3 3, 6, 9, 12, 15, 18, . . . 3 + 2 + 6 + 7 = 18 3,267 18 is divisible by 3

  9. Example 2-1a Divisibility Rule A whole number is divisible by: Example 4 if the last 2 digits are divisible by 4 4, 8, 12, . . . 100, 104, . . . 12 Is divisible by 4 3,412

  10. Example 2-1a Divisibility Rule A whole number is divisible by: Example 5 if the ones digit is 0 or 5 5, 10, 15, 20, 25, . . . 23,785 23,780

  11. Example 2-1a Divisibility Rule A whole number is divisible by: Example 6 if the number is divisible by both 2 and 3 6, 12, 18, 24, 30, 36, . . . 24,780 2 + 4 + 7 + 8 + 0 = 21 21 is divisible by 3 Divisible by 2

  12. Example 2-1a Divisibility Rule A whole number is divisible by: Example 9 if the sum of the digits is divisible by 9 9, 18, 27, 36, 45, . . . 24,687 2 + 4 + 6 + 8 + 7 = 27 27 is divisible by 9

  13. Example 2-1a Divisibility Rule Example A whole number is divisible by: 10 if the ones digit is 0 10, 20, 30, 40, 50, . . . 2,634,780

  14. Lesson 2 Contents Example 1Use Divisibility Rules Example 2Use Divisibility Rules Example 3Use Divisibility Rules

  15. Example 2-1a Tell whether 3,225 is divisible by 2, 3, 5, or 10. Then classify the number as even or odd. 2: No; the ones digit, 5, is not divisible by 2. 3: Yes; the sum of the digits, 12, is divisible by 3. 5: Yes; the ones digit is 5. 10: No; the ones digit is not 0. Ones digit is not divisible by 2 so the number is odd Answer: 3; 5; odd 1/3

  16. Example 2-1b Tell whether 2,448 is divisible by 2, 3, 5, or 10. Then classify the number as even or odd. Answer: 2; 3; even 1/3

  17. Example 2-2a BUSINESSA bakery requires 3 pounds of sugar for a large batch of cookies. If they have 38 pounds of sugar left, can they use all the sugar for large batches of cookies? Use divisibility rules to check whether 38 is divisible by 3. 3 + 8 = 11 11 is not divisible by 3 So, 38 is not divisible by 3. Answer: No, cannot use all the sugar 2/3

  18. Example 2-2b SCHOOLThe tables in a classroom at school each seat 5 students. If there are 26 students in the class, can they all be seated at these tables so that each table is full and everyone has a seat? Answer: No, because 26 is not divisible by 5 2/3

  19. Example 2-3a Tell whether 480 is divisible by 4, 6, or 9. 4: last 2 digits are 80 80 is divisible by 4 6: last digit is 0 which is even Divisible by 2 Divisible by 3 4 + 8 + 0 = 12 Since divisible by 2 and 3 it is also divisible by 6 Not divisible by 9 9: 4 + 8 + 0 = 12 Answer: 4 and 6 3/3

  20. Example 2-3b * Tell whether 324 is divisible by 4, 6, or 9. Answer: 4, 6, and 9 3/3

  21. End of Lesson 2 Assignment

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