Understanding "One-Fifth the Difference Between Two Numbers"
The phrase "one-fifth the difference between two numbers" might seem a bit confusing at first, but it's a straightforward mathematical concept. Let's break it down step-by-step.
1. What does "difference" mean?
In math, "difference" refers to the result of subtracting one number from another. For example, the difference between 10 and 5 is 5 (10 - 5 = 5).
2. What does "one-fifth" mean?
"One-fifth" means dividing something into five equal parts and taking one of those parts. It's the same as multiplying by 1/5.
Putting it together:
To find "one-fifth the difference between two numbers," we need to:
- Find the difference: Subtract the smaller number from the larger number.
- Calculate one-fifth: Divide the difference by 5 (or multiply by 1/5).
Example:
Let's say our two numbers are 15 and 7.
- Difference: 15 - 7 = 8
- One-fifth: 8 / 5 = 1.6
Therefore, "one-fifth the difference between 15 and 7" is 1.6.
Tips for working with this concept:
- Visualize it: Imagine dividing the difference into five equal slices. You're taking one of those slices.
- Use fractions: Instead of dividing by 5, you can multiply by 1/5, which represents one-fifth.
- Practice with different numbers: Choose a variety of number pairs to calculate the difference and one-fifth of the difference.
Why is this concept important?
Understanding how to calculate "one-fifth the difference between two numbers" is crucial for solving various mathematical problems involving ratios, fractions, and word problems. It also helps develop your ability to translate words into mathematical expressions.
Conclusion:
The phrase "one-fifth the difference between two numbers" is simply a way to express a specific mathematical operation. By understanding the meaning of "difference" and "one-fifth," you can easily solve problems that involve this concept.