Respuesta :

Because if 2-Digits are together, they turn into tens. now, if it was for 2 digits seprate, they would be one's
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We want to see why the product of 2-digit numbers can't be a 2-digit number. This is because the product of two 2-digit numbers is always a 3-digit or 4-digit number.

First, remember that any 2-digit number can be written as:

10*k

Where 1 ≤ k < 10

to give some examples:

  • 10 = 10*1
  • 33 = 10*3.3
  • 98 = 10*9.8

Then two 2-digit numbers A and B can be written as:

A = 10*k

B = 10*k'

Then the product of these two numbers is:

A*B = (10*k)*(10*k') = (10*10)*(k*k') = 100*(k*k´)

So we can see that the product of two 2-digit numbers is always equal to or larger than 100 (this happens because 100 > k*k' ≥ 1)

So the product of two 2-digit numbers is always a 3-digit or 4-digit number, this is why it can't be a 2-digit number.

If you want to learn more, you can read:

https://brainly.com/question/6073907

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