These five rational numbers are plotted on a horizontal number line. -(3)/(3),(5)/(5),-(1)/(5),(7)/(10),-(1)/(3) Which statement about the locations on the number line of the rational numbers is true? A. (2)/(3) is faithest to the left, and (7)/(8) is farthest to the right. B. -(4)/(3) is farthest to the left, and (7)/(8) is farthest to the right. C. -(2)/(3) is farthest to the left, and (7)/(10) is farthest to the right. D. (4)/(3) is farthest to the left, and (7)/(10) is farthest to the right.

Question

These five rational numbers are plotted on a horizontal number line.  -(3)/(3),(5)/(5),-(1)/(5),(7)/(10),-(1)/(3) Which statement about the locations on the number line of the rational numbers is true? A.  (2)/(3) is faithest to the left, and  (7)/(8) is farthest to the right. B.  -(4)/(3) is farthest to the left, and  (7)/(8) is farthest to the right. C.  -(2)/(3) is farthest to the left, and  (7)/(10) is farthest to the right. D.  (4)/(3) is farthest to the left, and  (7)/(10) is farthest to the right.

Bytelearn · Accepted Answer

List Given Rational Numbers:  Step 1: List the given rational numbers and simplify them if possible. -1, 1, -0.2, 0.7, -0.333... Compare and Determine Order:  Step 2: Compare the simplified numbers to determine their order on the number line. From left to right: -1, -0.333..., -0.2, 0.7, 1 Analyze Answer Choices:  Step 3: Analyze each answer choice to see which matches the farthest left and right positions. A. (2/3) is farthest left, and (7/8) is farthest right - Incorrect. B. -(4/3) is farthest left, and (7/8) is farthest right - Incorrect. C. -(2/3) is farthest left, and (7/10) is farthest right - Incorrect. D. (4/3) is farthest left, and (7/10) is farthest right - Incorrect.

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