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Multiply By 9's Tricks

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Here are two fun and amazing ways to look at multiplying by nine's.


Learning Styles Covered:

Auditory Learning Style Kinesthetic Learning Style Visual Learning Style





Steps:

Hands On!

Your child is going to use his hands as a calculator! He must have a working understanding of tens and ones to grasp this trick easily.

each finger is a number
  1. Hold out your hands and explain that each finger is a number. Starting with the pinky on the left hand as one.





  2. Now let your son decide on the problem, for example 9 x 3 =.




    3. 9 times 3, put the third finger down
  3. Holding up your hands, bend down the "3" finger. Make sure he can see what you have done or better yet, have him do it too.





    4. the fingers to the left of the 3 finger are the tens
  4. The fingers to the left of the "3" are the tens. How many tens are still straight? He should answer "2". That's right, 2 tens or 20.




    5. the fingers to the right of the 3 finger are the ones
  5. The fingers to the right of the "3" finger are the "ones", include both hands.

    There are 2 fingers raised on the left hand and 5 on the right, making a total of 7 fingers.




    2 tens and 7 ones make 27
  6. Put them together, 2 tens and 7 ones or 27! That's the answer.

    9 x 3 = 27



    Isn't that amazing! It works every time for the problems under ten.

    Have your child practice it a few times so he can do it fluidly and before he knows it the answers will become automatic.


Check out this Multiply by 9's Patterns Chart!

Another tool for learning to multiply 9's is this handy patterns chart. This is something you will want to do with your son or have him make up his own in color. Doing it in color helps the patterns become easier to see and your son will benefit from writing out the patterns himself.

9
x
1
=
 0 9
9
x
2
=
 1 8
9
x
3
=
 2 7
9
x
4
=
 3 6
9
x
5
=
 4 5
9
x
6
=
 5 4
9
x
7
=
 6 3
9
x
8
=
 7 2
9
x
9
=
 8 1
9
x
10
=
 9 0



Steps to make chart:
  1. Start by writing

    •        
      Tens
      Ones
      9
      x
      1
      =


  2. There are 2 steps for finding the answer:

    1. Explain that the number in the tens place in the answer is always 1 less than the number being multiplied by 9.

      So for 9 x 1,  one less than the number 1  is  0.
      Put the 0 in the tens place.

             
      Tens
      Ones
      9
      x
      1
      =
      0


    2. For the next step explain that when the number in the tens place is added to the number in the ones place, they will equal 9.

      So    0  plus  ?   equals 9.

      Tens
      +
      Ones
      =
      9
      0
      +
      ?
      =
      9
      0
      +
      9
      =
      9

      Put the  9 in the ones place.

             
      Tens
      Ones
      9
      x
      1
      =
      0
      9

      Amazing but true!


  3. Line up the next row under the first row.


    •        
      Tens
      Ones
      9
      x
      1
      =
      0
      9
      9
      x
      2
      =


  4. Have your son go through the 2 steps for finding the answer.

    9 x 2 = __  
    2 - 1 = 1
    9 x 2 = 1__  
    1 + ? = 9
    1 + 8 = 9
    9 x 2 = 18  



    •        
      Tens
      Ones
      9
      x
      1
      =
      0
      9
      9
      x
      2
      =
      1
      8
      9
      x
      3
      =


  5. Continue doing this until he reaches 9 x 10 = 90.

    Now look down the columns. See how the numbers progress?
    You can count down the tens column and up the ones column.
    Kind of cool – don't you think?

    This trick only works for   9 x 1   to   9 x 10.

Print a completed Patterns Chart with the answers PDF to post in your child's room or print one without the answers PDF so your child can fill it in.

With both of these suggestions, the idea is for your son to have tools to enable him to learn the 9's painlessly and, with continued practice, know his multiplication by 9's automatically.

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