Nathan B. answered • 11/14/19
Elementary and Algebraic skilled
The short answer is that when you multiply or divide by a factor of ten, you can move the decimal position places to the left or right by the number of zeros of the ten-factor. Here, we are multiplying by a single zero, so we can move the decimal one place to the right:
10 * 10 = 100
Comparative example, if you were to multiply 36 * 100, you would move the decimal two positions to the right, and you would end up with a product of 3600 (as 100 has two zeros in it).
If you want to see the actual mathematical steps to solve your equation, here you go:
10
*10
--------
00 (zero * zero = zero [in ones column]; zero * one = still zero [tens column])
10
*10
--------
00
0 (When we start multiplying with the tens group, we place a 0 in the ones column as a place holder)
10
*10
--------
00
+100 (one * zero = zero [tens]; one * one = 1 [hundreds])
--------
100 (add 00 and 100 together, and you get 100)
