Math  /  Algebra

Question12\frac{1}{2} E=12FE=\frac{1}{2} F 12F\frac{1}{2} F 12×E×F\frac{1}{2} \times E \times F E=12=FE=\frac{1}{2}=F \begin{tabular}{|c|c|} \hline Description & Can be modeled by ... \\ \hline \begin{tabular}{c} Eliza has half the number of books \\ that Fred has. \end{tabular} & \begin{tabular}{c} DRAG AND DROP \\ AN ITEM HERE \end{tabular} \\ \hline \begin{tabular}{c} Half the number of books that Fred \\ has \end{tabular} & DRAG AND DROP \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. We are given a matching activity involving mathematical expressions and descriptions.
2. The goal is to match each description with the correct mathematical expression.
3. The descriptions relate to the number of books Eliza and Fred have.

STEP 2

1. Understand the meaning of each mathematical expression.
2. Analyze the descriptions provided.
3. Match each description to the appropriate mathematical expression.

STEP 3

Understand the mathematical expressions:
1. 12 \frac{1}{2} : Represents half of something.
2. E=12F E = \frac{1}{2} F : Eliza's number of books E E is half of Fred's number of books F F .
3. 12F \frac{1}{2} F : Represents half of Fred's number of books.
4. 12×E×F \frac{1}{2} \times E \times F : Represents half of the product of Eliza's and Fred's number of books.
5. E=12=F E = \frac{1}{2} = F : Incorrectly states that Eliza's and Fred's number of books are both equal to half.

STEP 4

Analyze the descriptions:
1. "Eliza has half the number of books that Fred has." - This description indicates a relationship between Eliza's and Fred's books.
2. "Half the number of books that Fred has." - This description is specifically about half of Fred's books.

STEP 5

Match each description to the appropriate mathematical expression:
1. "Eliza has half the number of books that Fred has." matches with E=12F E = \frac{1}{2} F .
2. "Half the number of books that Fred has." matches with 12F \frac{1}{2} F .

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