6000 divided by 30 simplified what is it
The Correct Answer and Explanation is:
To simplify the division of 6000 by 30, the process involves basic arithmetic. We start by dividing 6000 by 30:600030=200\frac{6000}{30} = 200306000=200
The result is 200, and here’s a more detailed breakdown of the calculation.
Step-by-step breakdown:
- Start with the number 6000: This is the dividend, meaning it’s the number we are dividing.
- Divide by 30: The divisor, 30, is the number we are dividing 6000 by.
- Perform the division: First, divide 60 (the first two digits of 6000) by 30. This gives us 2 because 30 goes into 60 exactly 2 times.
- Handle the remaining zeros: After dividing 60 by 30, we are left with 0. Then, we bring down the two zeros from the 6000, one at a time, so we now have 200.
- Final result: The result of dividing 6000 by 30 is 200.
Why is this the correct answer?
This division is straightforward because both numbers, 6000 and 30, are divisible by 10. By simplifying the division, we can recognize that dividing both numbers by 10 reduces the problem to 600 divided by 3. From there, it’s simple arithmetic:6003=200\frac{600}{3} = 2003600=200
This method helps simplify the numbers, making the calculation easier. Another way to think about it is by breaking 6000 into 6 groups of 1000 and then dividing each group by 30. Each group of 1000 divided by 30 equals 33.33, and summing them gives us the same result, 200.
In summary, dividing 6000 by 30 simplifies to 200 through direct division. This method highlights basic division principles, with the dividend and divisor being broken down for easier computation.
