Question

A number has the sam digit in its hundred place and its hundredths place. How many times greater is the value of the digit in the hundreds place than the value of the digit in the hundredths place?

Answer 1

10,000

Step-by-step explanation:

Let's select a number with the same digit in its hundreds place and its hundredths place. For example:

567.15

The first 5 is in its hundred place and the last five is in its hundredths place.

We can rewrite the number as:

567.15 = 500 + 60 + 7 + 0.1 + 0.05

Therefore, the number in its hundred place has a value of 500 and the number in its hundredths place has a value of 0.05.

If we divide 500 by 0.05, we get:

`(500)/(0.05)=10,000`

It means that the value of the digit in the hundreds place is 10,000 greater than the value of the digit in the hundredths place.

Then, the answer is 10,000