0.5 \div \square=0.05
Answer (2)
Represent the unknown value with x : $0.5
div x = 0.05$.
Rewrite the division as a fraction: x 0.5 = 0.05 .
Isolate x by dividing both sides by 0.05 : x = 0.05 0.5 .
Calculate the value of x : 10 .
Explanation
Understanding the Problem We are given the equation $0.5
div
\square=0.05$ and we need to find the value of the unknown variable represented by the square.
Rewriting the Equation Let's represent the unknown value by x . So, the equation becomes $0.5
div x = 0.05$.
Expressing as a Fraction To solve for x , we can rewrite the division as a fraction: x 0.5 = 0.05 .
Multiplying by x Now, we can multiply both sides of the equation by x to get rid of the fraction: 0.5 = 0.05 x .
Dividing to Isolate x Next, we divide both sides by 0.05 to isolate x : x = 0.05 0.5 .
Calculating the Value Calculating the value of x , we get x = 10 .
Examples
Imagine you're diluting a cleaning solution. If you start with 0.5 liters of concentrate and want the final solution to be 0.05 liters per part, you need to figure out how many parts to make. This problem is similar to solving the equation, where you find that you need 10 parts in total. Understanding how to solve such equations helps in real-life scenarios like adjusting recipes, calculating dilutions, or determining proportions in various applications.
To find the unknown value in 0.5 ÷ □ = 0.05 , we let x represent the unknown, leading to the conclusion that x = 10 . This is solved by rewriting the division as a fraction and isolating x . The detailed steps show how to solve similar mathematical equations efficiently.
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