Question

A number 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?
100
1,000
10.000
100,000

Answer 1

Given:

A number has the same digit in its hundreds place and its hundredths place.

To find:

How many times greater is the value of the digit in the hundreds place than the value of the digit in the hundredths place.

Solution:

First of all, we should know that the hundredth place of a digit means 1/100 of the digit.

So,

as given, we have,

a number that has the same digit in its hundreds place and its hundredths place. So,

let this number be 100.001

It has the same digit i.e. 1 at hundreds and hundredths place.

So, the value of 1 at the hundreds place of the number = 100

Similarly,

the value of 1 at the hundredths place of the number = 1/100

Let the value of the hundreds place of a digit be x times greater than the value of the digit at the hundredth place.

So,

$100 = \frac{1}{100} \times x$

$x = 100 \times 100$

$x = 10,000$

Hence, the number of times the value of the digit in the hundreds places greater than the value of the digit in the hundredth place is 10,000.

Answer 2

Answer:

1000

Step-by-step explanation:

10000900.09 (random number with these requirements) each zero in between the number is 10x more, so count them. 10, 100, 1000