Question 5 of 12intermediate🔧 ApplyShort Answer3 marks

Make some 4-digit numbers such that the mirror image is the same number. Where would you keep the mirror in each case? How many such numbers can you make?

Correct Answer

Step 1: Identify digits with same mirror image: 0, 1, 8

Step 2: For 4-digit numbers, arrange digits symmetrically.

Step 3: First and fourth digits must be same; second and third digits must be same.

Step 4: Place mirror between second and third digit.

Examples: 1001, 1111, 1881, 8008, 8118, 8888

Answer: Many such numbers can be made using digits 0, 1, and 8 arranged symmetrically. The mirror is kept in the middle (between the second and third digit).

Exercise: Let Us Do (Section 2) - Games with a Mirror | Q: 2b(ii) | (Page Page 5)
For More Understanding

Explanation

The chapter explains that to create numbers with identical mirror images, we use digits 0, 1, and 8 arranged symmetrically. For a 4-digit number, the first and fourth digits must match, and the second and third digits must match. The mirror is placed in the center.

Solution Steps

  1. Step 1: Identify digits with same mirror image: 0, 1, 8

  2. Step 2: For 4-digit numbers, arrange digits symmetrically

  3. Step 3: First and fourth digits must be same, second and third digits must be same

  4. Step 4: Place mirror between second and third digit

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