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When all of the whole numbers between 100 and 350 are written down, how many times does the digit 4 appear?

User Noogen
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1 Answer

4 votes

Answer:

4 appears 55 times between 100 and 350

Explanation:

First lets compute the number of times 4 appear from 100 to 200

104, 114, 124, 134, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 154, 164, 174, 184, 194

From 100 to 200: 4 appears 20 times ------- 1


Using the same method as above:

From 200 to 300: 4 appears 20 times ---------------2


From 300 to 350: 4 appears 15 times ---------------3

304, 314, 324, 334, 340, 341, 342, 343, 344 ( 2 times ), 345, 346, 347, 348, 349


From eq 1, 2 and 3

From 200 to 350: 4 appears : 20 + 20 + 15 = 55 times

User Dboswell
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