Anumber has the same digit in its hundreds 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

Hey, questions like these may look very big and scary, but when we cut it down it becomes very simple, lets try that:

Hundreds place: 100

Hundredths place: 0.01

One is 2 0's before the decimal point (100) and the other is 2 decimal places AFTER the decimal point (0.01)

Essentially, the question is asking us how many times do we multiply 0.01 to get 100? This will be how many times greater 100 is compared to 0.01

Lets move the decimal point  4 times to the right:

0.01

00.1

1.0

10.0

100.0

There we go!

Remember, each time we move the decimal point to the right, we are multiplying by 10 (greater number) and if we move it to the left, we are dividing by 10 (smaller number).

We went from 0.01 to 100, how many times did we multiply by 10?

4 times, this means that 100 is 1,000 times bigger than 0.01

Sorry if I over-complicated it, hope it was helpful.

Cheers,

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: