The remainder when 105 is divided by 9 is:a)0b)6c)5d)9Correct answer i...
To find the remainder when 105 is divided by 9, we can use the divisibility rule for 9:
Step 1: Add the digits of 105: 1 + 0 + 5 = 6
Step 2: Find remainder when 6 is divided by 9. Since 6 is less than 9, the remainder is 6.
The remainder when 105 is divided by 9 is:a)0b)6c)5d)9Correct answer i...
Understanding Remainders
When dividing one number by another, the remainder is what is left over after the division is complete. To find the remainder of 105 when divided by 9, we can use the division method.
Step-by-Step Calculation
1. Divide 105 by 9:
- When you perform the division, you find how many times 9 can fit into 105.
- 9 goes into 105 a total of 11 times because 9 multiplied by 11 is 99.
2. Calculate the Product:
- Multiply 9 by 11:
- 9 * 11 = 99.
3. Subtract to Find the Remainder:
- Now subtract this product from 105:
- 105 - 99 = 6.
Conclusion
Thus, the remainder when 105 is divided by 9 is 6. This can also be checked with another method, the modulus operation, but the division method is straightforward and effective for understanding the concept of remainders.
Final Answer
- The correct answer is option 'B', which states that the remainder is 6.