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Transparency 2

2. Splash Screen

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

4. 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)
Lesson 2 Contents

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

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

7. A whole number is divisible by: Example
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
Example 2-1a

8. A whole number is divisible by: Example
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, . . .
3,267
= 18
18 is divisible by 3
Example 2-1a

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

10. A whole number is divisible by: Example
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
Example 2-1a

11. A whole number is divisible by: Example
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
= 21
21 is divisible by 3
Divisible by 2
Example 2-1a

12. A whole number is divisible by: Example
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
= 27
27 is divisible by 9
Example 2-1a

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

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

15. 2: No; the ones digit, 5, is not divisible by 2.
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
Example 2-1a

16. Tell whether 2,448 is divisible by 2, 3, 5, or 10
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
Example 2-1b

17. Use divisibility rules to check whether 38 is divisible by 3.
BUSINESS A 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
Example 2-2a

18. Answer: No, because 26 is not divisible by 5
SCHOOL The 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
Example 2-2b

19. 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
= 12
Divisible by 3
Since divisible by 2 and 3 it is also divisible by 6
9: = 12
Not divisible by 9
Answer: and 6
3/3
Example 2-3a

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

21. Divisibility Patterns
Assignment
Lesson 1:2
Divisibility Patterns
All
End of Lesson 2