Question

1. higher order thinking without multiplying, decide which symbol belongs in the box: <, >, or =. explain how you decided.

$2\frac{1}{3} \times \frac{1}{8} \square 2\frac{1}{2}$

1. erin is making fruit salad. for each bowl of fruit salad, she needs $\frac{2}{3}$ cup of strawberries. how many cups of strawberries will she use if she makes 18 bowls of fruit salad?

Explanation:

For Question 11:

Step1: Analyze the multiplier

$\frac{1}{8}$ is a positive number less than 1.

Step2: Apply multiplication property

When a positive number is multiplied by a positive number less than 1, the product is smaller than the original number. Here, $2\frac{1}{3}$ is positive, so $2\frac{1}{3} \times \frac{1}{8} < 2\frac{1}{3}$. Since $2\frac{1}{3} < 2\frac{1}{2}$, we know $2\frac{1}{3} \times \frac{1}{8} < 2\frac{1}{2}$.

Step1: Set up total strawberry calculation

Multiply cups per bowl by number of bowls: $\frac{2}{3} \times 18$

Step2: Simplify the expression

$\frac{2 \times 18}{3} = 2 \times 6 = 12$

Answer:

$<$

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For Question 12: