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# Learning Python- Intermediate course: Day 6, Math Exercises

## In the last part we covered the math module. In this part, we will solve some questions related to it.

### Sample questions.

``````def armstrong(x):
a=str(x) #convert int to string to make it iteratable
counter=0
Sum=0
for i in a:
counter=counter+1

for i in a:
Sum=Sum+pow(int(i),counter)
if(Sum==x):
return True
return False
print(armstrong(153))
print(armstrong(1723))
``````
``````True
False
``````

#### Alternative

``````def armstrong(x):
n = 0
i=x
while (i != 0):
n = n + 1
i = i // 10
temp = x
Sum = 0
while (temp != 0):
r = temp % 10
Sum = Sum + pow(r, n)
temp = temp // 10
return (Sum == x) #shorthand for if Sum==x return True else return False
print(armstrong(153))
print(armstrong(1723))
``````
``````True
False
``````
• Write the function power which returns the number raise to a power without using the math function `pow()`
``````def power(x, y):
if (y == 0):
return 1
if (y % 2 == 0):
return power(x, y // 2) * power(x, y // 2)
return x * power(x, y // 2) * power(x, y // 2)
print(power(2,3))
print(pow(2,3))
``````
``````8
8
``````

Logic The function power is a function which makes use of recursion in Python. The power is raised using recursive multiplication.

#### Alternative-

``````def power(a, b):
temp=a
for i in range(1,b):
temp=temp*a
return temp
print(power(3,4))
print(pow(3,4))
``````
``````81
81
``````

### Exercise.

Write the following functions without using their predefined math versions.

• `hypot()`
• `sqrt()`
• `asinh()`

Answers in the Learning Python Repository

So friends that's all for this part. 😊 Hope you all are enjoying.😎 Please let me know in the comment section if you liked it or not. 🧐 And don't forget to like the post if you did. 😍 I am open to any suggestions or doubts. 🤠 Just post in the comments below or Gmail me. 😉
Thank you for being so patient.👍
Also please visit the Learning-Python repo made especially for this course and don't forget to star it too!!!