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400 divided by 30

400 divided by 30

less than a minute read 21-10-2024
400 divided by 30

400 Divided by 30: A Step-by-Step Guide

Understanding Division

Division is a fundamental arithmetic operation that involves splitting a whole into equal parts. In this case, we are dividing 400 by 30, meaning we want to find out how many groups of 30 are contained within 400.

The Calculation

Performing the division, we get:

400 รท 30 = 13.333...

This result is a decimal number, indicating that 400 cannot be perfectly divided into groups of 30. There will be a remainder.

Breaking Down the Result

  • 13: This represents the whole number of times 30 goes into 400.
  • 0.333...: This represents the remainder, indicating that there are 33.33% of another group of 30 remaining after we have divided 400 by 30 as many times as possible.

Real-World Application

Imagine you have 400 cookies and want to distribute them evenly among 30 friends. You can give each friend 13 cookies (13 x 30 = 390), but there will be 10 cookies remaining.

Why This Calculation Matters

Understanding division is crucial in everyday life. From dividing up expenses among friends to calculating the average grade on a test, division helps us solve a wide range of problems.

Further Exploration

If you're interested in learning more about division, consider exploring:

  • Long division: A method for manually performing division with larger numbers.
  • Decimal division: Understanding how to divide numbers with decimals.
  • Fractions and division: The relationship between fractions and division.

Resources

Conclusion

400 divided by 30 results in 13.333..., which means that 400 can be divided into 13 groups of 30 with a remainder of 10. By understanding division, we can solve practical problems and gain a deeper understanding of mathematical concepts.

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