Subjects algebra

Number Line Order 39D48B

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1. **State the problem:** We need to determine which number line correctly displays the points \([-0.9, -2 \frac{1}{2}, 0.25, -\frac{3}{4}]\). 2. **Convert all points to decimal form for easy comparison:** - \(-0.9\) is already decimal. - \(-2 \frac{1}{2} = -2.5\). - \(0.25\) is already decimal. - \(-\frac{3}{4} = -0.75\). 3. **Order the points from smallest to largest:** $$-2.5 < -0.9 < -0.75 < 0.25$$ 4. **Check each option's order:** - A) \(-2.5, -0.9, -0.75, 0.25\) matches the correct order. - B) \(-2.5, -0.75, 0.25, 0.9\) is incorrect because \(-0.9\) is missing and \(-0.75\) comes before \(-0.9\). - C) \(-2.5, 0.25, 0.75, 0.9\) is incorrect because \(-0.9\) and \(-0.75\) are missing and order is wrong. - D) \(-0.25, 0.75, 0.9, 2.5\) is incorrect because points are different and range is different. 5. **Conclusion:** Option A correctly displays the points in order on the number line. **Final answer:** Option A