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When a positive integer n is divided by 9 the remainder is 71 what is the remainder when 5 n is divided by 9?
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When a positive integer n is divided by 9 the remainder is 71 what is ...


Explanation:

Given:
- n is a positive integer
- When n is divided by 9, the remainder is 71

Finding the remainder when 5n is divided by 9:

Step 1: Finding the value of n
- When n is divided by 9, the remainder is 71
- This can be represented as n = 9k + 71, where k is an integer
- This means n is of the form 9k + 71

Step 2: Finding the value of 5n
- 5n = 5(9k + 71) = 45k + 355 = 45k + 356 - 1
- We can rewrite 5n as 9m + r, where m is an integer and r is the remainder

Step 3: Finding the remainder when 5n is divided by 9
- We see that 5n = 9m + r, where r = 356 - 1 = 355
- Therefore, when 5n is divided by 9, the remainder is 355

Conclusion:
- The remainder when 5n is divided by 9 is 355
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When a positive integer n is divided by 9 the remainder is 71 what is the remainder when 5 n is divided by 9?
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