Multiplication by 10 (Math Club)

What if we are asked to divide by 0. This is the same as multiplying by 2, since 0. What about dividing by 0.

So when dividing by some decimals it may be useful to know the decimal expressions of fractions with small denominators. Dividing with fractions Perform the following divisions in your head if possible: If the sum of the digits of x is less than 9, then the quotient is x and the remainder is the sum of the digits of x.

Dividing by 9 Perform the following divisions in your head quotient and remainder: Checking your answer by casting out nines We can use casting out nines to check the answer we have obtained. For instance, consider we try to divide by 32, and we obtain a quotient of , and a remainder of 24 which is the right answer.

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To verify the result we proceed as follows: Cast out nines get the equivalence module 9 from the divisor. Cast out nines from the quotient. Multiply the remainder in the previous 2 steps, and cast out nines.

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Cast out nines from the remainder. Cast out nines from the dividend. Here is the test: Add the result of steps 3 and 4. If the result is not the same as that obtained in step 5 module 9, we made a mistake. As before, if the test fails, we can be sure that we have made a mistake somewhere in our computation or while casting out nines.

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If our result passes the test, we have reason to believe our answer is right. For instance, suppose we divide by 17, and we obtained a quotient of 90 and a remainder of 3. So, a student who is currently in the Threes Club will take the fours quiz. I photocopy the quizzes and cut them into strips at the beginning of the year, and I store dozens of copies of each quiz in an accordion file folder sorted by level. Once a student becomes a Multiplication Master, I challenge my students to see how many problems they can solve in three minutes, working up in increments of ten.

Yes, this system is somewhat competitive, and yes, it does put some pressure on my students. To make my Multiplication Masters board, I used a rectangular piece of foam board and gridded out sections using colored masking tape. I attached bits of Velcro across the entire board, and then I labeled each grid section. What are your favorite tips and tricks to help your students memorize the multiplication tables? Please share your favorite games, Web sites, and activities below in the comments section. List Name Delete from selected List. Save Create a List.

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The Teacher Store Cart. Back to the Top Teaching Blog. January 18, Total Recall: For example, Tang writes, Four is very fast to do when you multiply by 2. Here's a little good advice: Please just always double twice! Approaching Automaticity At last, we get to memorization! Timez Attack In my opinion, the free downloadable computer game Timez Attack is the best computer program to help students learn the multiplication facts. Multiplication Masters I use a management system to help my students keep track of which multiplication facts they have mastered, and which they still have to study.

Download the PDF from here. Share your ideas about this article. Alycia's Most Recent Posts. In my classroom, we celebrate books alongside Christmas stockings and latkes.

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