10. Smannah is making a quilt with squares that have side lengths of is foot each. Are the side lengths of the squares closer to \( \frac{1}{2} \) 16 foot or 1 foot long? Draw a diagram to support your answer.
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Beyond the Answer
To figure out if the side lengths of the squares (1 foot) are closer to \( \frac{1}{2} \) foot or 1 foot, we can simply compare their values. \( \frac{1}{2} \) foot is equivalent to 0.5 feet, and since 1 foot is obviously greater than 0.5 feet, the distance from 0.5 feet to 1 foot is \( 1 - 0.5 = 0.5 \) feet. Therefore, the squares are exactly 0 feet away from 1 foot but 0.5 feet away from \( \frac{1}{2} \) foot, making their side lengths closer to 1 foot. For a visual aid, imagine a line with 0 at the far left, 0.5 in the middle, and 1 at the far right. The point marked “1” is precisely where the squares lie, sitting snugly right on top of that point, proving they’re much closer to 1 foot than \( \frac{1}{2} \) foot!