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7 Open Ended The shape represents \( \frac{1}{2} \) of a whole. To make an amount that is greater than 1 , how many shapes will you need? Draw your shapes. Write the mixed number that represents the amount you drew \( \frac{1}{2} \)

Ask by Fleming Gross. in the United States
Feb 20,2025

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Tutor-Verified Answer

Answer

Necesitas tres figuras para obtener una cantidad mayor que 1, y el número mixto que representa la cantidad es 1 ½.

Solution

Cada figura representa ½ de un entero. Si juntas dos figuras tendrás ½ + ½ = 1, que es igual a un entero, pero no mayor que uno. Por eso, para formar una cantidad mayor que 1 necesitarás tres figuras. Dibujarías:  Figura 1: ½   Figura 2: ½   Figura 3: ½ La suma es:  ½ + ½ + ½ = 3/2, que se escribe como el número mixto 1 ½. Por lo tanto, necesitas tres figuras para obtener una cantidad mayor que 1, y el número mixto que representa la cantidad es 1 ½.

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The Deep Dive

To create a quantity greater than 1 using shapes that each represent \( \frac{1}{2} \), you’ll need at least 3 shapes. That’s because \( \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{3}{2} \), which is equivalent to the mixed number \( 1 \frac{1}{2} \). Imagine drawing three circles, each cut in half, giving you three complete halves. As you draw these shapes, think about how they can stack up! Visualizing them as parts of a pizza can be fun — after all, if you have one whole pizza, that's 2 halves, and adding another half slice means you'll have a delicious \( 1 \frac{1}{2} \) pizza to enjoy. Just be mindful of what you're combining—remember, three halves give you a whole plus an extra half!

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