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Introduction
Mathematics is a subject that is often feared and dreaded by many. However, it is an essential subject that we encounter in our daily lives. One of the fundamental concepts in math is division. In this article, we will explore the calculation of 200 divided by 7.
What is Division?
Division is a mathematical operation that involves the splitting of a number into equal parts. It is the opposite of multiplication. When we divide a number, we are essentially finding out how many times one number can fit into another.
Why is 200 Divided by 7 Important?
The calculation of 200 divided by 7 is important because it is a fundamental concept in mathematics. It is also a real-life scenario that we encounter in our daily lives. For example, if you have 200 apples and you want to distribute them equally among 7 people, you would need to know the answer to this calculation.
The Calculation of 200 Divided by 7
To calculate 200 divided by 7, we need to use long division. Here are the steps:
Step 1: Write the Calculation
Write the calculation as follows: 200 ÷ 7
Step 2: Divide the First Digit
Divide the first digit of 200, which is 2, by 7. The answer is 0 with a remainder of 2. Write the remainder, 2, next to the 0. 200 ÷ 7 —– 0
Step 3: Bring Down the Next Digit
Bring down the next digit of 200, which is 0, next to the remainder. 200 ÷ 7 —– 28 0
Step 4: Divide the First Two Digits
Divide the first two digits, 20, by 7. The answer is 2 with a remainder of 6. Write the remainder, 6, next to the 2. 200 ÷ 7 —– 28 2 0
Step 5: Bring Down the Next Digit
Bring down the next digit, which is 0, next to the remainder. 200 ÷ 7 —– 28 2 0 0
Step 6: Divide the First Two Digits Again
Divide the first two digits, 20, by 7. The answer is 2 with a remainder of 6. Write the remainder, 6, next to the previous remainder. 200 ÷ 7 —– 28 2 0 2 6
Step 7: Bring Down the Final Digit
Bring down the final digit, which is 0, next to the remainder. 200 ÷ 7 —– 28 2 0 2 6 0
Step 8: Divide the First Two Digits for the Final Time
Divide the first two digits, 0, by 7. The answer is 0 with a remainder of 0. Write the remainder, 0, next to the previous remainder. 200 ÷ 7 —– 28 2 0 2 6 2 0 0
Step 9: Interpret the Answer
The final answer is 28 with a remainder of 4. This means that 200 divided by 7 is equal to 28 with a remainder of 4. We can also express this as a mixed number, which is 28 and 4/7.
The Importance of Checking Your Work
It is essential to check your work after completing a calculation. To check your work for 200 divided by 7, you can multiply the quotient, 28, by the divisor, 7, and add the remainder, 4. The answer should be equal to the dividend, which is 200. 28 x 7 = 196 196 + 4 = 200 Therefore, our answer is correct.
Conclusion
In conclusion, the calculation of 200 divided by 7 is a fundamental concept in mathematics. It is essential to understand this concept as it is a real-life scenario that we encounter in our daily lives. By following the steps outlined in this article, you can easily calculate 200 divided by 7. Remember to always check your work to ensure that your answer is correct.
