If all the numbers between 114 and 400 are written on a piece of paper, how many times will the number ‘5’ be used?
Answers
Answer:
If all the numbers between 114 and 400 are written on a piece of paper, the number 5 will be used 32 times.
Step-by-step explanation:
The numbers that make use of 5 between any 100's are:
05, 15, 25, 35, 45, 55, 65, 75, 85, 95
You do realize that for any set of 100's that five is used 11 times, because it is used twice in 55
Between 144 to 400, 5 will be used:
144 - 200 - there are 10 5's used here. That is 115, 125, 135, 145, 155, 165, 175, 185 and 195 = 10
200 to 300 - there are 11 5's used here. That is 205, 215, 225,235, 245, 255, 265, 275, 285, 295 = 11
300 to 400 - there are 11 5's. That is 305, 315, 325, 335, 345, 355, 365, 375, 385, 395.
The total number of fives used between 144 to 400 are:
10 + 11 + 11 = 32
Therefore 5 is used 32 times between 114 and 400
If all the numbers between 114 and 400 are written on a piece of paper, the number 5 will be used 59 times.
Step-by-step explanation:
The numbers that make use of 5 between any 100's are:
05, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 65, 75, 85, 95
You do realize that for any set of 100's that five is used 20 times, because it is used twice in 55 and 9 times in (50-59).
Between 144 to 400, 5 will be used:
144 - 200 - there are 10 5's used here. That is 115, 125, 135, 145, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 165, 175, 185 and 195 = 19
200 to 300 - there are 20 5's used here. That is 205, 215, 225,235, 245, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 265, 275, 285, 295 = 20
300 to 400 - there are 20 5's. That is 305, 315, 325, 335, 345, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 365, 375, 385, 395.
The total number of fives used between 144 to 400 are:
19 + 20 + 20 = 59
Therefore 5 is used 59 times between 114 and 400