During multiplication by 10,100,etc, why is it that the digits move one or more places to the left depending on the number of zeros?what's the logic?

Ex: 24X10=240, 24X100=2400.

1 answer

Think back on your days of learning multiplication, where if you are multiplying by a 3-digit number, you write down the partial answers, each row shifted over by one from the row above.

That's all this is. We work with a base-10 system, so multiplying by a power of 10 shifts the value that many places to the left.

167 =
7 x 1
+
6 x 10
+
1 x 100
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