How many numbers between 222 and 444 end with 0
Answers
Answer:
First you have - 230, 240,.......290 i.e 7
then 300, 310,......390 i.e 10
then 400, 410, 420,430,440 i.e 5
So, 7+10+5=22
Answer - 22
Step-by-step explanation:
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Given : The range of the number is, 222 to 444
To find : How many numbers in the given range end with 0?
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the number of numbers which end with 0)
The numbers which end with 0 in the given range are :
= 230,240,250,...,430,440
Every consecutive numbers in the above mentioned series have a common difference of 10 (240 - 230 = 10 ; 440-430 = 10 etc.) , and that's why this can be considered to be an AP series.
Let, there are n numbers in the said AP series.
Now, the nth term will be = a+ (n-1) × d
Where,
- nth term = 440
- a = First term of AP = 230
- d = common difference = 10
By, putting all the data in the above mentioned mathematical formula, we get :
440 = 230 + (n-1) × 10
440 = 230 + 10n - 10
440 = 220 + 10n
10n = 440 - 220
10n = 220
n = 220/10
n = 22
So, the number of terms = n = 22
Hence, there are 22 numbers between 222 and 444 which end with 0