Sure, let's break down the values from the given table step-by-step to verify the correctness and understand how they are derived.
### Understanding the Values
We need to express each of these mathematical values as numerical decimals.
#### Value [tex]\( A \)[/tex]
- [tex]\( A \)[/tex] is given directly as [tex]\( 3.25 \)[/tex].
- No further conversion is needed here.
#### Value [tex]\( B \)[/tex]
- [tex]\( B \)[/tex] is given as the fraction [tex]\( \frac{3}{4} \)[/tex].
- To convert this fraction to a decimal, we divide the numerator (3) by the denominator (4):
[tex]\[
B = \frac{3}{4} = 0.75
\][/tex]
#### Value [tex]\( C \)[/tex]
- [tex]\( C \)[/tex] is given as the mixed number [tex]\( 2 \frac{3}{5} \)[/tex].
- First, convert the mixed number to an improper fraction and then to a decimal:
[tex]\[
C = 2 + \frac{3}{5}
\][/tex]
- Convert [tex]\(\frac{3}{5}\)[/tex] to a decimal by dividing 3 by 5:
[tex]\[
\frac{3}{5} = 0.6
\][/tex]
- Add this to the integer part:
[tex]\[
C = 2 + 0.6 = 2.6
\][/tex]
#### Value [tex]\( D \)[/tex]
- [tex]\( D \)[/tex] is given as the fraction [tex]\( \frac{23}{4} \)[/tex].
- To convert this fraction to a decimal, divide the numerator (23) by the denominator (4):
[tex]\[
D = \frac{23}{4} = 5.75
\][/tex]
### Summarizing the Results
So, the numerical values converted from the given table are:
- [tex]\( A = 3.25 \)[/tex]
- [tex]\( B = 0.75 \)[/tex]
- [tex]\( C = 2.6 \)[/tex]
- [tex]\( D = 5.75 \)[/tex]
These match the previously given results:
[tex]\[
(3.25, 0.75, 2.6, 5.75)
\][/tex]
This is our final answer!
