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4.5 divided by 5

4.5 divided by 5

2 min read 30-03-2025
4.5 divided by 5

Meta Description: Learn how to solve 4.5 divided by 5 easily! This guide breaks down the division process step-by-step, providing a clear and simple explanation perfect for beginners. Master this fundamental math operation with our helpful examples and tips.

Dividing decimals can sometimes feel tricky, but with a clear method, it becomes straightforward. Let's tackle 4.5 divided by 5 together. This seemingly simple problem is a great example of a fundamental math concept. Understanding this process will help you with more complex calculations later.

Understanding the Problem: 4.5 ÷ 5

The problem, "4.5 divided by 5," asks: how many times does 5 fit into 4.5? We can represent this mathematically in a few different ways:

  • 4.5 ÷ 5
  • 4.5 / 5
  • ⁵⁄₄․₅

All these notations mean the same thing: we are dividing 4.5 into 5 equal parts.

Method 1: Long Division

This method is ideal for understanding the underlying process. Here's how to solve 4.5 divided by 5 using long division:

  1. Set up the problem: Write 4.5 inside the long division symbol (the house shape) and 5 outside.

  2. Add a decimal point: Add a decimal point directly above the decimal point in 4.5 in your answer space. This is crucial for correctly placing the decimal point in your final answer.

  3. Divide the whole number: How many times does 5 go into 4? Zero. Write a 0 above the 4.

  4. Bring down the next digit: Bring down the 5, giving you 45.

  5. Divide: How many times does 5 go into 45? Nine times. Write a 9 above the 5.

  6. Subtract: 9 x 5 = 45. Subtract 45 from 45, leaving 0. You have no remainder.

  7. Final answer: Your answer is 0.9.

Method 2: Converting to a Fraction

Another approach involves turning the division problem into a fraction:

  1. Express as a fraction: Rewrite 4.5 divided by 5 as the fraction 4.5/5.

  2. Remove the decimal: To eliminate the decimal point, multiply both the numerator (top) and denominator (bottom) by 10: (4.5 x 10) / (5 x 10) = 45/50.

  3. Simplify the fraction: Both 45 and 50 are divisible by 5. Simplify the fraction: 45/50 = 9/10.

  4. Convert to a decimal: 9/10 is equivalent to 0.9.

Method 3: Using a Calculator

While understanding the process is key, using a calculator can be a quick way to verify your answer. Simply input 4.5 ÷ 5 into your calculator. The result will be 0.9.

Practical Application: Real-World Examples

Understanding decimal division is crucial in various real-world scenarios, such as:

  • Sharing equally: If you have $4.50 to share equally among 5 people, each person gets $0.90.
  • Calculating averages: Finding the average of five numbers where one is 4.5.
  • Measuring and scaling: Many measurements involve decimals, and dividing them is often necessary.

Conclusion: Mastering 4.5 Divided by 5

We've explored three methods to solve 4.5 divided by 5, arriving at the answer of 0.9 each time. Understanding these methods will not only help you solve this particular problem but will also equip you to handle similar decimal division problems confidently. Remember, practice is key to mastering any mathematical concept! Keep practicing, and you'll become proficient in dividing decimals.

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