0.7 is 10% of what number?
The Correct Answer and Explanation is :
To solve the equation (0.7) is (10\%) of what number, we can set up the problem mathematically.
Let (x) be the unknown number we want to find. According to the problem, (10\%) of (x) is equal to (0.7). We can express this relationship with the equation:
[
0.1x = 0.7
]
Next, to isolate (x), we divide both sides of the equation by (0.1):
[
x = \frac{0.7}{0.1}
]
Calculating the right side:
[
x = 7
]
Thus, (0.7) is (10\%) of (7).
Explanation
In percentage problems like this, it’s important to understand what percentage means. A percentage is a way of expressing a number as a fraction of (100). So, when we say (10\%), we are referring to (10) out of every (100). In decimal form, (10\%) is equivalent to (0.1).
When we express (10\%) of a number (x), we multiply (x) by (0.1) (or (10/100)). Thus, (10\%) of (x) can be written as:
[
0.1 \times x
]
In our case, we know that (0.1x = 0.7). To find (x), we rearranged the equation to solve for (x) by dividing both sides by (0.1). This method is straightforward and relies on basic algebraic principles.
Understanding how to manipulate percentages is crucial in various fields such as finance, statistics, and everyday problem-solving. Percentages are often used in calculations involving discounts, interest rates, and data interpretation. By mastering the fundamentals of how to express percentages in equations, you can tackle a wide range of mathematical problems efficiently. Thus, recognizing that (0.7) is (10\%) of (7) equips you with a useful tool for both academic and practical applications.