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The remainder when 780 is divided by 9 is ____________.
- a)5
- b)7
- c)6
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Remainder when 780 is divided by 9:
To find the remainder when 780 is divided by 9, we can use the concept of modular arithmetic.
Modular Arithmetic:
Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value called the modulus. In this case, the modulus is 9.
Steps to find the remainder:
1. Divide 780 by 9.
2. Find the quotient and the remainder.
Step 1: Divide 780 by 9
780 ÷ 9 = 86
Step 2: Find the quotient and the remainder
The quotient is 86 and the remainder is the number left over after division.
780 = 9 × 86 + remainder
Now, let's substitute the values.
780 = 9 × 86 + remainder
To find the remainder, we can rearrange the equation as follows:
remainder = 780 - 9 × 86
Simplifying the equation:
remainder = 780 - 774
remainder = 6
Therefore, the remainder when 780 is divided by 9 is 6 (option C).
To find the remainder when 780 is divided by 9, we can use the concept of modular arithmetic.
Modular Arithmetic:
Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value called the modulus. In this case, the modulus is 9.
Steps to find the remainder:
1. Divide 780 by 9.
2. Find the quotient and the remainder.
Step 1: Divide 780 by 9
780 ÷ 9 = 86
Step 2: Find the quotient and the remainder
The quotient is 86 and the remainder is the number left over after division.
780 = 9 × 86 + remainder
Now, let's substitute the values.
780 = 9 × 86 + remainder
To find the remainder, we can rearrange the equation as follows:
remainder = 780 - 9 × 86
Simplifying the equation:
remainder = 780 - 774
remainder = 6
Therefore, the remainder when 780 is divided by 9 is 6 (option C).
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The remainder when 780 is divided by 9 is ____________.a)5b)7c)6d)4Correct answer is option 'C'. Can you explain this answer?
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