Monday, August 26 (left side of paper)

Monday, August 26(left side of paper)

Divisibility Patterns(right side of paper)

Divisibility Patterns

A whole number is divisible by another number if the remainder is 0.

There are rules to determine divisibility.

Divisibility PatternsList for 22: 2, 4, 6, 8, 10, 12, 14, 16……


Can you create a rule to determine if a number is divisible by 2?



Divisibility Rule of 2: If the last digit is even (0, 2, 4, 6, 8) the entire number is divisible by 2.


Is the number 45636 divisible by 2?



Divisibility Rule of 2: If the last digit is even (0, 2, 4, 6, 8) the entire number is divisible by 2.

Since the last digit is even, then the number is divisible by 2.



Divisibility Rule of 10: If the last digit is a 0 the entire number is divisible by 10.

Divisibility PatternsIs the number 45636 divisible by 10?


Divisibility Rule of 10: If the last digit is a 0 the entire number is divisible by 10.

Since the last digit is not 0, then the number is not divisible by 10.



Divisibility Rule of 5: If the last digit is a 5 or 0 the entire number is divisible by 5.



Divisibility Rule of 5: If the last digit is a 5 or 0 the entire number is divisible by 5.

Since the last digit is NOT a 0 or 5, the number is not divisible by 5.

Divisibility PatternsMultiples List for 33: 3, 6, 9, 12, 15, 18, 21, 24……


Divisibility Rule of 3: If the sum of the digits is 3, 6, or 9 the entire number is divisible by 3. If the sum is more than one digit, add again.



Divisibility Rule of 3: If the sum of the digits is 3, 6, or 9 the entire number is divisible by 3. If the sum is more than one digit, add again.

4 + 5 + 6 + 3 + 6 = 242 + 4 = 6

Divisibility PatternsList for 99: 9, 18, 27, 36, 45, 54……



Divisibility Rule of 9: If the sum of the digits is 9, the entire number is divisible by 9. If the sum is more than one, add again.


Divisibility Rule of 9: If the sum of the digits is 9, the entire number is divisible by 9. If the sum is more than one, add again.

Since the sum of the digits is 24, and the sum of that is 6, the number is not divisible by 9.



Divisibility Rule of 4: If the last two digits are divisible by 4, the entire number is divisible by 4. . (Hint-If the last digit is odd, it can never be divisible by an even number)



Divisibility Rule of 4: If the last two digits are divisible by 4, the entire number is divisible by 4. . (Hint-If the last digit is odd, it can never be divisible by an even number)

Since 36 is divisible by 4, then 45636 is divisible by 4.



Divisibility Rule of 6: If the Divisibility Rule of 2 AND 3 works, the entire number is divisible by 6.



Divisibility Rule of 6: If the Divisibility Rule of 2 AND 3 works, the entire number is divisible by 6.

Since the last digit is even the number is divisible by 2. The sum of the digits is 24, the sum of that is 6. The number is divisible by 3. 45636 is divisible by 6.


89Is this number divisible by 2,3,4,5,6,9,10?

Circle the correct answers.




None



478 is divisible by 2.Circle the correct answers.



3135 is divisible by 3 and 5.Circle the correct answers.



14980 is divisible by 2, 4, 5, and 10. Circle the correct answers.

Divisibility PatternsIn Class –

Review Worksheet #1 Agenda Notes-

Math Homework Review Worksheet #2

Due 8-27-2013

Monday, August 26 (left side of paper)

Documents

Transcript of Monday, August 26 (left side of paper)