Middle School Math Quiz: Ordering Rational Numbers
3 questions · exam conditions
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Ordering Rational NumbersQuestion 1 of 3

Marcus is comparing temperatures recorded at different weather stations. Station A recorded −8.5°F-8.5°F, Station B recorded −734°F-7\frac{3}{4}°F, Station C recorded −818°F-8\frac{1}{8}°F, and Station D recorded −8.05°F-8.05°F. Which list shows these temperatures ordered from coldest to warmest?

−8.5,−818,−8.05,−734-8.5, -8\frac{1}{8}, -8.05, -7\frac{3}{4}
−818,−8.5,−8.05,−734-8\frac{1}{8}, -8.5, -8.05, -7\frac{3}{4}
−734,−8.05,−818,−8.5-7\frac{3}{4}, -8.05, -8\frac{1}{8}, -8.5
−8.5,−8.05,−818,−734-8.5, -8.05, -8\frac{1}{8}, -7\frac{3}{4}
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Middle School Math Quiz

Middle School Math Quiz: Ordering Rational Numbers

Practice Ordering Rational Numbers in Middle School Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Ordering Rational Numbers, giving you a quick way to practice the rules, question types, and explanations that matter most for Middle School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

Marcus is comparing temperatures recorded at different weather stations. Station A recorded −8.5°F-8.5°F, Station B recorded −734°F-7\frac{3}{4}°F, Station C recorded −818°F-8\frac{1}{8}°F, and Station D recorded −8.05°F-8.05°F. Which list shows these temperatures ordered from coldest to warmest?

  1. −8.5,−818,−8.05,−734-8.5, -8\frac{1}{8}, -8.05, -7\frac{3}{4} (correct answer)
  2. −818,−8.5,−8.05,−734-8\frac{1}{8}, -8.5, -8.05, -7\frac{3}{4}
  3. −734,−8.05,−818,−8.5-7\frac{3}{4}, -8.05, -8\frac{1}{8}, -8.5
  4. −8.5,−8.05,−818,−734-8.5, -8.05, -8\frac{1}{8}, -7\frac{3}{4}
Explanation: First, convert all temperatures to decimals: -8.5, -7¾ = -7.75, -8⅛ = -8.125, and -8.05. For negative numbers, the number with the greatest absolute value is the smallest (coldest). Ordering by absolute value: 8.5 > 8.125 > 8.05 > 7.75, so the temperatures from coldest to warmest are: -8.5, -8⅛, -8.05, -7¾. Choice B incorrectly orders -8⅛ and -8.5. Choice C reverses the entire order. Choice D incorrectly places -8.05 before -8⅛.

Question 2

On a coordinate plane, point A is located at (−32,0)(-\frac{3}{2}, 0) and point B is located at (0.75,0)(0.75, 0). Point C is positioned on the x-axis such that it is equidistant from both A and B. What is the x-coordinate of point C?

  1. −38-\frac{3}{8} (correct answer)
  2. −14-\frac{1}{4}
  3. 18\frac{1}{8}
  4. 0.1250.125
Explanation: Point C is equidistant from A and B, so it's the midpoint of segment AB. The x-coordinate of the midpoint is: (x₁ + x₂)/2 = (-3/2 + 0.75)/2 = (-1.5 + 0.75)/2 = (-0.75)/2 = -0.375 = -3/8. Choice B (-1/4 = -0.25) is incorrect. Choice C gives 1/8 = 0.125, and choice D also gives 0.125, both resulting from sign or calculation errors.

Question 3

On a number line, point P is located at 56\frac{5}{6} and point Q is located at 0.830.83. Point R is positioned exactly halfway between points P and Q. Which of the following is closest to the location of point R?

  1. 0.8250.825
  2. 57\frac{5}{7}
  3. 0.8310.831 (correct answer)
  4. 45\frac{4}{5}
Explanation: First convert ⁵⁄₆ to decimal: ⁵⁄₆ = 0.8333... Point R is halfway between 0.8333... and 0.83, so R = (0.8333... + 0.83)/2 = 1.6633.../2 ≈ 0.8317. Checking each choice: A) 0.825 is too far from 0.8317, B) ⁵⁄₇ ≈ 0.714 is much too small, C) 0.831 is very close to 0.8317, D) ⁴⁄₅ = 0.8 is too small.