Which number is farthest from 1 on the number line? \( \sqrt{1.2} \) \( \sqrt{1.3} \) \( \sqrt{1.4} \) \( \sqrt{1.5} \)
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To find out which number is farthest from 1 on the number line, let's first calculate the values of each square root: - \( \sqrt{1.2} \approx 1.095 \) - \( \sqrt{1.3} \approx 1.140 \) - \( \sqrt{1.4} \approx 1.183 \) - \( \sqrt{1.5} \approx 1.225 \) Now we can determine the distance each of these values is from 1: - Distance from 1.095 to 1 = \( 0.095 \) - Distance from 1.140 to 1 = \( 0.140 \) - Distance from 1.183 to 1 = \( 0.183 \) - Distance from 1.225 to 1 = \( 0.225 \) The farthest number from 1 on the number line is \( \sqrt{1.5} \approx 1.225 \), with the greatest distance of \( 0.225 \).