To evaluate the algebraic expressions given for \( n = 4.8 \), we need to check each option step-by-step.
Option 1: \(\frac{24}{n}\)
1. Substitute \( n = 4.8 \) into the expression:
[tex]\[
\frac{24}{4.8}
\][/tex]
2. Calculate the value:
[tex]\[
\frac{24}{4.8} = 5.0
\][/tex]
Thus, \(\frac{24}{4.8} = 5.0\).
Option 2: \(\frac{n}{24}\)
1. Substitute \( n = 4.8 \) into the expression:
[tex]\[
\frac{4.8}{24}
\][/tex]
2. Calculate the value:
[tex]\[
\frac{4.8}{24} = 0.2
\][/tex]
Thus, \(\frac{4.8}{24} = 0.2\).
Option 3: \(24 \times n\)
1. Substitute \( n = 4.8 \) into the expression:
[tex]\[
24 \times 4.8
\][/tex]
2. Calculate the value:
[tex]\[
24 \times 4.8 = 115.2
\][/tex]
Thus, \(24 \times 4.8 = 115.2\).
Option 4: \(24 \times n\)
1. This is the same as Option 3. Substitute \( n = 4.8 \) into the expression:
[tex]\[
24 \times 4.8
\][/tex]
2. Calculate the value:
[tex]\[
24 \times 4.8 = 115.2
\][/tex]
Thus, \(24 \times 4.8 = 115.2\).
Given the calculations, the correct expression and product is:
- The correct expression is \( 24 \times n \) for \( n = 4.8 \).
- The product when \( n = 4.8 \) is \( 115.2 \).
Therefore, out of the given options, the correct one is:
[tex]\[ 24n; \text{ when } n=4.8, \text{ the value is } 115.2. \][/tex]
