Question 12 of 43intermediate🔍 AnalyzeEssay2 marks

How many fractions lie between 0 and 1? Think, discuss with your classmates, and write your answer.

Correct Answer

There are infinitely many fractions between 0 and 1.

Reasoning: Between any two fractions, we can always find another fraction by taking their average or by finding equivalent fractions with larger denominators.

Examples: 12\frac{1}{2}, 13\frac{1}{3}, 14\frac{1}{4}, 23\frac{2}{3}, 34\frac{3}{4}, etc.

Conclusion: Between any two points on the number line, there are infinitely many fractions.

Exercise: Figure it Out (Section 4) | Q: 3 | (Page Page 10)
For More Understanding

Explanation

The chapter introduces the concept that fractions can be represented on a number line. Between 0 and 1, there are countless fractions like 1/2, 1/3, 1/4, 2/3, 3/4, etc. In fact, between any two points on the number line, there are infinitely many fractions.

Solution Steps

  1. There are infinitely many fractions between 0 and 1.

  2. Between any two fractions, we can find another fraction by taking their average.

  3. Between any two fractions, we can find another fraction by finding equivalent fractions with larger denominators.

  4. Examples include 1/2, 1/3, 1/4, 2/3, 3/4, etc.

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