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## Ways to teach division

Multiplication and division are different beasts than addition and subtraction. To master any new concept, students have to think in a different way in regards to reasoning mathematically. Of course, this requires you to approach division in your homeschool program with a plan to help your daughter understand it. With that in mind, here are some ways to teach the concept:

**Go over rules of divisibility**

Introducing your daughter to the rules of divisibility may help her begin to understand division. There are rules for dividing by 2, 3, 4, 5, 6, 8, 9 and 10, and they go as follows:

- 2: If the last digit in a number is even, the whole number is divisible by 2
- 3: If the sum of the digits of a number can be divided by 3, the number can be divided by 3. Ex., for 258: 2 + 5 + 8 = 15 and 15 can be evenly divided by 3. Ergo, 258 is divisible by 3.
- 4: Numbers in which the last two digits are divisible by 4 are, as a whole, divisible by 4. Ex., for 216: 16 is divisible by 4, so 216 is divisible by 4.
- 5: If the last digit is 0 or 5, the number can be divided evenly by 5.
- 6: If a number passes the division rules for 2 and 3, it can be divided by 6.
- 8: If the last three digits as a whole can be divided by 8, the number is divisible by 8. Ex., in 1,568, 568 is divisible by 8.
- 9: The same rule for 3 applies to 9. So, if the sum of the digits can be divided by 9, so too can the whole number.
- 10: If the last digit is 0, the number can be divided evenly by 10.

Knowing these rules can help your daughter look at a number and discover what it's divisible by - in some cases, multiple rules will apply to the same number.

**Connect to subtraction**

Your daughter already knows subtraction and likely multiplication, so use these tools to teach division. For instance, use subtraction in this way:

Express 12/2 as 12 - 2 - 2 - 2 - 2 - 2 - 2 = 6.

This shows how many times 12 can be split in half. You can simplify it as (3 x 2) + (3 x 2) = 12, and then 6 x 2 = 12

The inverse of that is 12/2 = 6.

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