What is the value of the 6 in 62.75 compared to the 6 in [tex]$6,275$[/tex]?

A. 1
B. [tex]\frac{1}{10}[/tex]
C. [tex]\frac{1}{100}[/tex]
D. [tex]\frac{1}{1,000}[/tex]



Answer :

To answer this question, we need to evaluate the value of the digit 6 in the two given numbers: 62.75 and [tex]$6,275. First, consider the value of the 6 in 62.75: - In 62.75, the digit 6 is in the tens place. - Therefore, the value of 6 here is calculated as \(6 \times 10 = 60\). Next, consider the value of the 6 in $[/tex]6,275:
- In [tex]$6,275, the digit 6 is in the thousands place. - Therefore, the value of 6 here is calculated as \(6 \times 1,000 = 6,000\). Now, we need to find the ratio of these two values: - The value of 6 in 62.75 is 60. - The value of 6 in $[/tex]6,275 is 6,000.

To find the ratio of these values, divide the value of 6 in 62.75 by the value of 6 in [tex]$6,275: \[ \frac{60}{6,000} = \frac{60 \div 60}{6,000 \div 60} = \frac{1}{100} \] Thus, the value of the 6 in 62.75 compared to the 6 in $[/tex]6,275 is [tex]\(\frac{1}{100}\)[/tex].