If you wrote all of the numbers from 300 to 400 on a piece of paper, how many times would you have written the number 3?
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Each of the numbers from 300 to 399 inclusive has a 3 in the "hundreds" position. That makes 100.
Each number from 330 to 339 has a 3 in the tens position, That makes 10 more.
Then there are 10 numbers (303, 313, 323, .... 393) with a 3 in the units position. That's another 10.
So I make it 120 altogether.
Each number from 330 to 339 has a 3 in the tens position, That makes 10 more.
Then there are 10 numbers (303, 313, 323, .... 393) with a 3 in the units position. That's another 10.
So I make it 120 altogether.
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Answer: 121 digits
Let us see these 300 to 310= there were <12> 3’s; 311 to 320= there were <11> 3’s; 321 to 330= <12> 3’s; 331 to 340= <20> 3’s; 341 to 350= <11> 3’s; 351 to 360= <11>; 361 to 370= <11>; 371 to 380 <11>; 381 to 390 <11>, 391 to 340 <11>
Total : 121 digits
Step-by-step explanation:
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