what divided by 5 equals 8

Natashya

2 min read

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26-12-2024

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This article will explore how to solve the simple equation: what divided by 5 equals 8? We'll break down the problem, show you the solution, and offer a few extra tips for similar math problems.

Understanding the Problem

The question "What divided by 5 equals 8?" is essentially asking us to find an unknown number. This unknown number, when divided by 5, results in 8. We can represent this problem as an algebraic equation:

x / 5 = 8

Where 'x' represents the unknown number we're trying to find.

Solving for X

To solve for 'x', we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 5:

(x / 5) * 5 = 8 * 5

This simplifies to:

x = 40

The Answer

Therefore, the number that, when divided by 5, equals 8 is 40.

Checking Your Work

It's always a good idea to check your answer to make sure it's correct. Let's substitute 40 back into our original equation:

40 / 5 = 8

This confirms that our answer, 40, is correct.

Similar Problems: A Quick Guide

To solve other similar division problems, follow these steps:

1. Identify the unknown: Find the variable (often 'x' or another letter) representing the unknown number.
2. Write the equation: Translate the problem into an algebraic equation.
3. Isolate the variable: Use inverse operations (like multiplication to undo division) to get the variable alone on one side of the equation. Remember to perform the same operation on both sides.
4. Solve for the variable: Perform the calculations to find the value of the unknown.
5. Check your answer: Substitute your solution back into the original equation to verify its accuracy.

For example: "What divided by 3 equals 12?" would be written as:

x / 3 = 12

Multiplying both sides by 3 gives:

x = 36

Conclusion

Solving "what divided by 5 equals 8" involves setting up a simple algebraic equation and then using basic algebra to isolate and solve for the unknown variable. The answer, as we've shown, is 40. Understanding this process will help you tackle many similar division problems with confidence. Remember to always check your work to ensure accuracy!