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How many times does the number 5 appear from the numbers 1-1000?
Wiki User
∙ 11y ago
From 1-100, it appears 20 times, in 19 different numbers.
- 5
- 15
- 25
- 35
- 45
- 50
- 51
- 52
- 53
- 54
- 55
- 56
- 57
- 58
- 59
- 65
- 75
- 85
- 95
For every interval of one hundred after that (101-200, 201-300, etc.) except for 500, it will be the same amount of fives. So, 20 instances times 9 different intervals (still excluding 500-599), there are 180 fives.
Now we'll consider 500-599. From 0-99, there are 100 numbers, so there are also 100 numbers from 500-599. That means there is an extra 100 fives, for each 5 in the hundreds place. Add that to the original 20 from the tens and ones place, and there are 120 fives between 500-599.
When we add that 120 on the our other 180, we arrive at the grand total of 300 fives between 1-1000.
Wiki User
∙ 11y ago
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