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Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?
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Find the sum of 3-digit numbers which leave remainder 1, when divided ...
Solution:
Step 1: Finding the 3-digit numbers which leave remainder 1 when divided by 2
- Every even number leaves no remainder when divided by 2
- Every odd number leaves remainder 1 when divided by 2
- Therefore, the 3-digit numbers which leave remainder 1 when divided by 2 are the odd numbers between 100 and 999
Step 2: Finding the sum of odd numbers between 100 and 999
- The sum of odd numbers between 1 and n is given by the formula: n^2
- To find the sum of odd numbers between 100 and 999, we need to find the sum of odd numbers between 1 and 999 and subtract the sum of odd numbers between 1 and 99
- The sum of odd numbers between 1 and 999 is 499^2 = 249001
- The sum of odd numbers between 1 and 99 is 50^2 = 2500
- Therefore, the sum of odd numbers between 100 and 999 is 249001 - 2500 = 246501
Step 3: Conclusion
- The sum of 3-digit numbers which leave remainder 1 when divided by 2 is 246501.
Step 1: Finding the 3-digit numbers which leave remainder 1 when divided by 2
- Every even number leaves no remainder when divided by 2
- Every odd number leaves remainder 1 when divided by 2
- Therefore, the 3-digit numbers which leave remainder 1 when divided by 2 are the odd numbers between 100 and 999
Step 2: Finding the sum of odd numbers between 100 and 999
- The sum of odd numbers between 1 and n is given by the formula: n^2
- To find the sum of odd numbers between 100 and 999, we need to find the sum of odd numbers between 1 and 999 and subtract the sum of odd numbers between 1 and 99
- The sum of odd numbers between 1 and 999 is 499^2 = 249001
- The sum of odd numbers between 1 and 99 is 50^2 = 2500
- Therefore, the sum of odd numbers between 100 and 999 is 249001 - 2500 = 246501
Step 3: Conclusion
- The sum of 3-digit numbers which leave remainder 1 when divided by 2 is 246501.
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Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?
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Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?.
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?.
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