Question

plz plz plz plz plz help me
3. Now that you understand why multiplying a
number by 10 shifts the digits i place to the left,
explain how we can deduce that multiplying by
10,000 shifts the digits 4 places to the left and
multiplying by 100.000 shifts the digits 5 places to
the left. How should we think about the numbers
10,000 and 100,000 to make these deductions?​

Answer 1

Step-by-step explanation:

Numbers and decimals all have "place values" (ones, tens, hundreds) based on the positions they occupy.

For example, in the number 1,532

The number 2 occupies the "ones" place

The number 3 occupies the "tens" place

The number 5 occupies the "hundreds" place

The number 1 occupies the "thousands" place

From what we can see, each place indicates a magnitude of $10^{n}$ units. "n" being the number of the "place".

Using this knowledge, we can tell that multiplying by 10,000, is the same as shifting a magnitude of $10^{4}$ units (the ten thousands "place").

This also applies to 100,000, shifting by a magintude of $10^{5}$

Hope this helps!