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Thursday, September 15, 2011

Divisibility Rules

Hello, hello, hello!


Today we learned the divisibility rules!  Tonight's homework is to complete the divisibility worksheet.  Can't find your homework or were absent?  Click here to get a printable copy of the worksheet.

First we defined the words Factor, Multiple and Product:


This picture may may the concept clearer:



Check out the rules:


For tonight's homework, you will determine which numbers are factors of various values.  Here's an example of how you complete the homework:  (ps- These are the first four problems...  Feel free to copy them if it helps you learn!)


Now, we only went over a few divisibility rules.  There are many others...

2If the last digit is even, the number is divisible by 2.
3If the sum of the digits is divisible by 3, the number is also.
4If the last two digits form a number divisible by 4, the number is also.
5If the last digit is a 5 or a 0, the number is divisible by 5.
6If the number is divisible by both 3 and 2, it is also divisible by 6.
7
 
Take the last digit, double it, and subtract it from the rest of the number;
if the answer is divisible by 7 (including 0), then the number is also.
8
 
If the last three digits form a number divisible by 8,
then so is the whole number.
9If the sum of the digits is divisible by 9, the number is also.
10If the number ends in 0, it is divisible by 10.
11Alternately add and subtract the digits from left to right. (You can think of the first digit as being 'added' to zero.)
If the result (including 0) is divisible by 11, the number is also.
Example: to see whether 365167484 is divisible by 11, start by subtracting:
[0+]3-6+5-1+6-7+4-8+4 = 0; therefore 365167484 is divisible by 11.
12If the number is divisible by both 3 and 4, it is also divisible by 12.
13

 
Delete the last digit from the number, then subtract 9 times the deleted
digit from the remaining number. If what is left is divisible by 13,
then so is the original number.


And in a cute poem form...

I hope that this helps!  If you forgot to bring in your Hot Pink sheet or didn't get it completed, please bring it in signed tomorrow!  Thanks!!!!

-Miss K  :)

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