Question 8 of 13intermediate🔧 ApplyShort Answer3 marks

You are given a coin. Estimate how many coins are required to be placed one after the other lengthwise, without leaving any gap between them, to cover the whole length of the chosen side of a notebook. Verify your estimate by measuring the same side of the notebook and the size of the coin using a 15-cm scale.

Correct Answer

To estimate: First, estimate the coin diameter (typically 2-2.5 cm for a standard coin) and notebook length (typically 20-25 cm for a standard notebook).

Estimated number of coins = Notebook length ÷ Coin diameter. For example, if notebook length is 20 cm and coin diameter is 2 cm, estimated coins = 10.

To verify: Measure the actual notebook side using a 15-cm scale (e.g., 20 cm). Measure the coin diameter (e.g., 2 cm).

Actual number of coins needed = 20 ÷ 2 = 10 coins. Compare the estimate with the actual measurement.

Exercise: Let us enhance our learning | Q: 8 | (Page Page 19)
For More Understanding

Explanation

This activity combines estimation skills with actual measurement. The chapter emphasizes the importance of using standard scales for accurate measurement. Students learn to estimate first, then verify through measurement using a 15-cm scale as described on Page 4-5.

Solution Steps

  1. Estimate the coin diameter (typically 2-2.5 cm) and notebook length (typically 20-25 cm)

  2. Calculate estimated number of coins = Notebook length ÷ Coin diameter

  3. Measure the actual notebook side using a 15-cm scale

  4. Measure the actual coin diameter

  5. Calculate actual number of coins needed

  6. Compare the estimate with the actual measurement