Question 13 of 25beginner💡 UnderstandShort Answer2 marks

Sumedha noticed that when a whole is equally divided in a larger number of parts, each part gets smaller. Do you agree with Sumedha?

Correct Answer

Yes, I agree with Sumedha.

When a whole is divided into more equal parts, each part becomes smaller.

Example: If a pizza is cut into 4 pieces, each piece is larger than if the same pizza is cut into 8 pieces. The more pieces we make, the smaller each piece becomes.

Key Concept: As the denominator increases (more parts), the size of each part decreases. This is why 1/8 is smaller than 1/4, and 1/4 is smaller than 1/2.

Exercise: Let Us Discuss | Q: 3 | (Page Page 8)
For More Understanding

Explanation

The chapter confirms this key understanding about fractions. This is a fundamental concept: as the denominator increases (more parts), the size of each part decreases. This is why 1/8 is smaller than 1/4, and 1/4 is smaller than 1/2.

Solution Steps

  1. When a whole is divided into more equal parts, each part becomes smaller.

  2. Example: Pizza cut into 4 pieces → larger pieces than pizza cut into 8 pieces.

  3. As the denominator increases, the size of each part decreases.

  4. ∴ 1/8 < 1/4 < 1/2

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