Respuesta :
When we are multiplying our 10's, we are basically adding another 10 each time. Since the number grid is in rows of 10, adding another 10 is the same as moving down one row, which makes a straight column.
You can use the fact that when staying in the same column and walking from row to row, there is addition of 10.
Why is there straight column for multiple of 10 in number counting having 10 columns?
First choose a row. Since there are 10 columns per row, thus changing the row by choosing same column will give difference of 10.
Go down in rows on same column and you'll see increment of 10, and go up in rows with same column and you'll see decrement of 10.
]This is the key reason behind that straight columns of multiples of 10s.
Let the number be x
Then moving from row to row on the same column, we will get:
x, x + 10, x + 20, x + 30, ...
If x = 10, we get 10, 20, 30, 40 which are multiples of 10 since
[tex]10 + 10 = 10 \times 2\\10 + 20 = 10 \times 3\\...\\ 10 + 10y = 10 \times (y+1)[/tex]
See the given table below:
[tex]\begin{array}{cccc}\cdots&x&\cdots & 10\\\cdots & x + 10 & \cdots & 10 + 10 = 10 \times 2 = 20\\\cdots & x+ 10 + 10 = x + 20 & \cdots & 20 + 10 = 10 \times 2 + 10 = 10 \times 3 = 30\\\cdots & \cdots & \cdots & \cdots\end{array}[/tex]
The last column, therefore, has multiples of 10 since adding 10 for multiple of 10 is like multiplying 10 by one bigger number which is same as increasing multiples of 10.
Learn more about multiples here:
https://brainly.com/question/10520264
