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What point on the number line is \( \frac{1}{4} \) of the way from the point 0 to the point -3 ? -0.25 -0.5 -0.75 -1

Ask by Rose Martinez. in the United States
Mar 13,2025

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The point is \(-0.75\).

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The Deep Dive

To find the point that is \( \frac{1}{4} \) of the way from 0 to -3, first calculate the total distance from 0 to -3, which is 3 units. Now, \( \frac{1}{4} \) of that distance is \( \frac{1}{4} \times 3 = 0.75 \) units. Since we are moving from 0 towards -3, we subtract this value: \( 0 - 0.75 = -0.75 \). So, the answer is -0.75. Here's a helpful tip: When dealing with fractions of distances on a number line, it’s always good to visualize or draw the scenario to avoid any confusion about direction. Common mistakes often involve miscalculating the proportional distance or the direction of movement!

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