Monday, August 29, 2011

Division: Divisibility Rules

Have you ever wondered if 198676 is divisible by 3, but you don't want to do the math to figure it out? Well, there is a way to do this, and it is by using the Divisibility Rules. The divisibility rules are rules that tell you if a number (x) can be divided by certain number or not. For example if you didn't know if 26 can be divided by 2 or not, just check the divisibility rule for 2:

 The last digit must be divisible by 2, or be even.

Using that divisibility rule, you can apply that rule to the number to see if its divisible by 2 or not (which it is).  Here are the list of divisibility rules from 2-12:

Divisibility Rules

Rule for 2: The last digit must be divisible by 2 or be even.
Rule for 3: The sum of the digits must be divisible by 3.
Rule for 4: The last two digits must be divisible by 4.
                   (Example: 536 is divisible by 4 because 36 is divisible by 4)
Rule for 5: The last digit must be 0 or 5.
Rule for 6: The number must be even and divisible by 3.
Rule for 7: The number must be broken down into numbers that are both divisible by 7.
Rule for 8: The last three digits must be divisible by 8.
Rule for 9: The sum of the digits must be a multiple of 9.
Rule for 10: The last digit must be 0.
Rule for 11: The difference of the sum of odd-placed digits and the sum of the even-placed digits of the number must be 11 or 0. Let me explain:


Example: 139271


The bolded digits are odd placed digits. This is because if you were to count from right to left, 1 is the first digit from the right side, 2 is the third digit from the right side, and 3 is the fifth digit from the right side. 


As you notice each of those numbers are an odd number of digits from the right side. That is why they're odd placed digits. This also goes with the evens. 


Rule for 12: The number must be divisible by 3 and 4.

I think you might be able to find the pattern in the divisibility rules and use them to make rules for all the numbers. I hope this helped! 
                         

Saturday, August 27, 2011

Multiplication: Nine Times Table At Your Fingertips

Having trouble remembering the 9x table? The answers are literally at your fingertips! Using the Fingertip Method, I will teach you how to remember the 9x table with no trouble at all!