Asked by HELP !!!
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.
Ex: 24X10=240, 24X100=2400.
Answers
Answered by
Steve
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
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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