Question:

A little help please .. 29 x 28 = ?

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I can't remember how to do these types of multiplication. I need to know HOW to get the answer (not the answer itself)

29 x 28 = ?

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  1. 812

    it's easier if you put the 29 above the 28

       29

    x 28                                

    --------  

    232

    580

    ____

    812          


  2. Write it out like this

      29

    x28

    Multiply the bottom right number (8) by 9  = 72

    Leave the 2 below the 8 and 9

    Carry the 7 to the tens column (second from right)

    Multiply 8 by 2 = 16 and add 7 to that which makes 23

    So 28 times 8 is 232

    Now add a zero initially before doing anything below 232

    2 times 9 is 18...draw the 8 beside the 0 to get 80

    Carry the 1 and multiply 2 x 2 to get 4 (plus 1 ) = 5

    So 29 times 20 is 580

    Now add 580 to 232 and you get your answer: 812

      29

    x28

    =====

      232

    +580

    ---------

    812

    Hope it helps!

  3. Remember to stack them.

      29

    x28

    Mulitply 8 x 29. (8x9) + (8x20)  write that down

       232

           0 (drop a zero in the first spot) then multiply 2 x 29 and write that down.

    you get:

       232

       580

    now add these two numbers.

    812


  4. Here's one way.  I find this method very fast for dealing with numbers like these.  You can do this in your head.

    Select a numerical value for x which is close to the two numbers to be multiplied, and which can be easily squared in your head.  So, in this case, let x = 30.  Then 29 = x - 1, and 28 = x - 2.

    Now you can use the general product of (x - 1) and (x - 2) to find the product of 29 x 28.

    Multiplying (x - 1) and (x - 2) in our head, we get x² - 3x + 2.  Then, plugging x = 30 into the expression and calculating the sum in our head, we get this:  (30)² - 3 (30) + 2 = 900 - 90 + 2 = 810 + 2 = 812.  Therefore, 29 x 28 = 812.

  5. if you mean mentally, easiest should be

    29 x 28 = (30 - 1) x 28 = 28 x 30 - 28 = 840 - 28 = 812

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