Question

how many times 0 will come while writing numbers from 1-100,five times?​

Answer 1

Answer:

How many times is 5 written when you write from 1 to 1000?

Between the numbers 0 to 10, number 5 appears 1 time.

Between the numbers 0 to 99, 5 appears 20 times I.e. (5, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55, 56, 57,58, 59, 65, 75, 85, 95)

Note: In the number 55, 5 appears 2 times.

Therefore, 5 appears 20 times between 0 and 99

Now,

From 100–199 we have, 105,115,125,135,145,150,151,152,153,154,155,156,157,158,159,165,175,185,195 I.e. 5 appears 20 times (in 155, 5 appears twice.)

Similarly,

From 200–299 we have, 205...250,251,252,..259,...295 I.e. 20 times

From 300–399 we have..305...395 I.e. 20 times

From 400–499 we have..405...495..I.e. 20 times

From 600–699 we have..605...695 I.e. 20 times

From 700–799 we have..705...795 I.e. 20 times

From 800–899 we have..805...895 I.e. 20 times

From 900–999 we have..905...995 I.e. 20 times

I.e. total = 20*9 = 180 times

From 0–1000 (excluding 500–599), 5 appears 180 times.

Note we haven't counted numbers between 500–599

Now, from 500 to 599,

From 500-509 i.e. (500, 501, 502, 503, 504, 505, 506, 507, 508, 509 ) 5 appears 11 times

From 510-519 I.e. (510, 511, 512, 513, 514, 515, 516, 517, 518, 519) 5 appears 11 times

From 520-529 I.e. (520, 521, 522, 523, 524, 525, 526, 527, 528, 529) 5 appears 11 times

From 530-539 I.e. (530, 531, 532, 533, 534, 535, 535, 537, 538, 539) 5 appears 11 times

From 540-549 I.e. (540, 541, 542, 543, 544, 545, 546, 547, 548, 549) 5 appears 11 times

From 550-559 I.e. (550, 551, 552, 553, 554, 555, 556, 557, 558, 559) 5 appears 21 times

Similarly from 560-569, 570-579, 580-589, 590-599 5 will appear 11 times in each case I.e. 44 times between 560–599

Adding up: 11*9+ 21 = 99 +21= 120 times 5 will appear between 500-599

From 500–599, 5 will appear 120 times.

Therefore, 5 will appear 180+120= 300 times between 0 to 1000.

I know this answer is too detailed and long, The only thing I am trying to show here is Mathematics isn’t always about formulas and theorems. Even with basic knowledge one can attempt and solve tricky looking problems :)

Step-by-step explanation:

hope it helps ☺️