Question 43 of 43beginner🔧 ApplyShort Answer2 marks

Preetham wants to insert the digit '1' somewhere among the digits '4', '2', '0', '1' and '9'. Where should he place the digit '1' to get the biggest possible number? What other numbers can he make by placing the digit '1'?

Correct Answer

Given: Original digits are 4, 2, 0, 1, 9

Rule: To obtain the largest number, insert '1' before the first digit smaller than '1' when scanning from left.

Numbers formed by inserting '1': 142019 (1 at start) 412019 (1 after 4) 421019 (1 after 42) 420119 (1 after 420) 420191 (1 at end)

Answer: The biggest possible number is 421019, obtained by placing '1' between 2 and 0.

Exercise: Matchstick Numbers | Q: 3 | (Page Page 22)
For More Understanding

Explanation

To get the largest number, insert '1' before the first digit that is smaller than '1' (which is '0'). Hence, placing '1' between 2 and 0 yields 421019.

Solution Steps

  1. Step 1: Original digits are 4, 2, 0, 1, 9

  2. Step 2: Insert 1 at different positions

  3. Step 3: 421019 (1 after 42) = biggest

  4. Step 4: Other options: 142019, 412019, 420119, 420191

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