To understand the value of the 6 in the numbers 62.75 and [tex]$6,275, let's break down the place values of these numbers.
1. In the number 62.75:
- The number 62.75 can be broken down into its place values: 60 + 2 + 0.7 + 0.05.
- Here, the digit 6 is in the tens place. This means the value of the 6 is \( 6 \times 10 = 60 \).
2. In the number $[/tex]6,275:
- The number [tex]$6,275 can be broken down into its place values: 6000 + 200 + 70 + 5.
- Here, the digit 6 is in the thousands place. This means the value of the 6 is \( 6 \times 1000 = 6000 \).
Now, let's compare these values:
- The value of the 6 in 62.75 is 60 (in the tens place).
- The value of the 6 in $[/tex]6,275 is 6000 (in the thousands place).
To find how the value of the 6 in [tex]$6,275 compares to that in 62.75, we divide the value found in $[/tex]6,275 by the value found in 62.75:
[tex]\[
\frac{6000}{60} = 100
\][/tex]
This means that the value of the 6 in $6,275 is 100 times the value of the 6 in 62.75. Hence, the factor between these two place values comparing the 6 in the two numbers is 1.
