Question

Which reason best describes why you can divide any number by 100 by moving the decimal point two places to the left?


Dividing a number by 100 is the same as subtracting the number 100 times.


Dividing by 100 is the same as removing a zero.


Moving the decimal point makes the number smaller.


Moving the decimal point two places to the left makes the number 1/100 of its original value.

Answer 1

The last choice is the reason, but to add to this, you are taking a value and breaking it into groups of 100( which is 10 groups of 10). Each place value in our decimal system naturally is based on a system of tens! Dividing by 100, is 2 groups of tens (2 decimal moves).

Answer 2

Answer:

Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.

Step-by-step explanation:

Step 1:  Find the answer

I believe that it is the last choice because a number divide by 100 gives 1/100 of the value.

Example:  Find 4 / 100

$\frac{4}{100} = 0.04$

$4*\frac{1}{100} = \frac{4}{100}=0.04$

Answer:  Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.