Tuesday, 3 February 2015

Balanced equations

On Monday we looked at balanced equations using the number scales.  Like this one:
 10 + 8 + 6 + 4 + 2  = 30 =  (5 x 2) + (4 x 2) + (3 x 2) + (2 x 2) + (1 x 2)

Can you say what the equation would be for any of these balances?
A.
B.
C.
You could post your equations in the comments below.

18 comments:

  1. A. 10 + 10 + 2 + 2 + 4 + 4 = 32
    B. 10 + 6 +2 = 18
    C. 2 + 2 + 2 + 4 = 10

    ReplyDelete
    Replies
    1. Sebastian, thank you so much for being the first to reply.
      However, these are not quite correct. Have a look at Aditi's and Marie's below.

      Delete
  2. A..(10x2)=20=(2x4)+(4x3)

    B..10+2=12=(6x2)

    C..(4x1)=4=(2x2)

    ReplyDelete
  3. A. ( 2x10)=(2x2)+(4x4)
    B.10+2=(6x2)
    C.4=(2x2)

    ReplyDelete
    Replies
    1. And that would work too, yes!
      (Notice how you've got a different answer to Aditi for A - but both could work!)

      Delete
  4. A. 10 x 3 = 30 = (2 x 5) + (4 x 5)
    B. (10 x 3) + ( 2 x 3) = 36 = 6 x 6
    C. 4 x 3 = 12 = 2 x 6

    ReplyDelete
  5. A. 10 x 2 = 20 = (2 x 4) + (4 x 3)
    B. (10 x 4) + (2 x 4) = 48 = 6 x 8
    C. 5 x 4 = 20 = 2 x 10

    ReplyDelete
  6. A.10x2=20=( 2x2 ) + ( 4x4 )
    B. ( 10x1 ) + ( 2x1 )=12=( 6x2 )
    C.( 4x1 ) =4=( 2x2 )

    ReplyDelete
  7. a.(10*2)=(2*2)+(4*4)
    b. (10+2)= (6*2)
    c. 4=(2*2)

    ReplyDelete
  8. Isn't it interesting how there are different ways to write this equation! Well done everyone!

    ReplyDelete
  9. This comment has been removed by the author.

    ReplyDelete
    Replies
    1. here below my own examples...
      (2x4)+(3x2)=(2x5)+(2x2)
      (3x3)+(1x2)=(2x2)+(2x2)
      (7x2)+(2x2)=(2x5)+(2x4)

      Delete
  10. A. (10x2) = (2x4) + (4x3)
    20 = 20

    B. (10x1) + (2x1) = 6x2
    12 = 12

    C. 4x1 = 2x2
    4 = 4

    ReplyDelete