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Write and evaluate the following algebraic expression when \( n = 4.8 \).

The product of 24 and a number.

Which is the correct expression and product?

A. \(\frac{24}{n}\); when \( n = 4.8 \), the value is 5.
B. \(\frac{n}{24}\); when \( n = 4.8 \), the value is 0.2.
C. \(24n\); when \( n = 4.8 \), the value is 115.2.
D. [tex]\(24n\)[/tex]; when [tex]\( n = 4.8 \)[/tex], the value is 5.



Answer :

GinnyAnswer
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]

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