Question 3 of 7intermediate🔧 ApplyShort Answer3 marks

Number hunt: Write the numbers between 200 and 300 that have 5 as a digit. Is 245 one such number? Write the other numbers.

Correct Answer

Yes, 245 is one such number.

Reasoning: Numbers between 200 and 300 have 2 in the hundreds place. To have 5 as a digit, either the tens digit or ones digit (or both) must be 5.

Step 1: Numbers with 5 in tens place: 250, 251, 252, 253, 254, 255, 256, 257, 258, 259

Step 2: Numbers with 5 in ones place: 205, 215, 225, 235, 245, 255, 265, 275, 285, 295

Step 3: Combine unique numbers (note: 255 is counted once): 205, 215, 225, 235, 245, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 265, 275, 285, 295

Exercise: House Numbers | Q: 9 | (Page Page 15)
For More Understanding

Explanation

Numbers between 200 and 300 have 2 in the hundreds place. To have 5 as a digit, either the tens digit or ones digit (or both) must be 5. Numbers with 5 in tens place: 250-259. Numbers with 5 in ones place: 205, 215, 225, 235, 245, 265, 275, 285, 295. Note: 255 has 5 in both places but is counted once.

Solution Steps

  1. Step 1: Numbers with 5 in tens place: 250, 251, 252, 253, 254, 255, 256, 257, 258, 259

  2. Step 2: Numbers with 5 in ones place: 205, 215, 225, 235, 245, 255, 265, 275, 285, 295

  3. Step 3: Combine unique numbers: 205, 215, 225, 235, 245, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 265, 275, 285, 295

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