Unit 2 · Number Theory
1¾, 1½, 2⅔, 2⅓, 2½ — Closest to 2?
Lesson 6 of 15
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About this lesson
Which mixed number is closest to 2? Find the gap for each: 1¾ → 0.25; 1½ → 0.5; 2⅔ → 0.667; 2⅓ → 0.333; 2½ → 0.5. Smallest gap = 0.25 = option A. Option D (2⅓, gap 0.333) is the most tempting wrong answer for students who confuse 'closer above' with 'closest overall'.
Chapters
0:00Introduction
0:21The Question
0:47Establishing the distance metric
1:12Measuring distances for options below 2
1:35Measuring distances for options above 2
2:03Comparing gaps via common denominators
2:33Exam strategy — mental filtering via fractional thresholds
3:25Confirming the final option
Question
Which one of the following numbers is closest to 2?
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