Which Sign Makes The Statement True?$2\% \, ? \, \frac{3}{25}$

**Which Sign Makes the Statement True? $2\% \, ? \, \frac{3}{25}$**

In mathematics, we often come across various types of problems that require us to find the missing sign or operator that makes a given statement true. In this article, we will explore a problem that involves finding the missing sign between two numbers, $2\%$ and $\frac{3}{25}$. We will analyze the problem step by step and provide a detailed solution to help you understand the concept.

The problem asks us to find the missing sign that makes the statement $2\% \, ? \, \frac{3}{25}$ true. To solve this problem, we need to understand the concept of percentages and fractions.

What is a Percentage?

A percentage is a way of expressing a value as a fraction of 100. For example, $2\%$ means 2 out of 100, or $\frac{2}{100}$. To convert a percentage to a decimal, we divide the percentage value by 100.

What is a Fraction?

A fraction is a way of expressing a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of equal parts we have, and the denominator represents the total number of parts. For example, $\frac{3}{25}$ means 3 out of 25.

Now that we understand the concept of percentages and fractions, let's analyze the problem. We need to find the missing sign that makes the statement $2\% \, ? \, \frac{3}{25}$ true.

Option 1: Addition

Let's assume the missing sign is addition. We can rewrite the statement as $2\% + \frac{3}{25}$. To add these two values, we need to convert the percentage to a decimal. We can do this by dividing the percentage value by 100.

$2\% = \frac{2}{100} = 0.02$

Now, we can add the two values:

$0.02 + \frac{3}{25} = 0.02 + 0.12 = 0.14$

However, this is not the correct answer. The correct answer is not an addition.

Option 2: Subtraction

Let's assume the missing sign is subtraction. We can rewrite the statement as $2\% - \frac{3}{25}$. To subtract these two values, we need to convert the percentage to a decimal.

$2\% = \frac{2}{100} = 0.02$

Now, we can subtract the two values:

$0.02 - \frac{3}{25} = 0.02 - 0.12 = -0.10$

However, this is not the correct answer. The correct answer is not a subtraction.

Option 3: Multiplication

Let's assume the missing sign is multiplication. We can rewrite the statement as $2\% \times \frac{3}{25}$. To multiply these two values, we need to convert the percentage to a decimal.

$2\% = \frac{2}{100} = 0.02$

Now, we can multiply the two values:

$0.02 \times \frac{3}{25} = 0.02 \times 0.12 = 0.0024$

However, this is not the correct answer. The correct answer is not a multiplication.

Option 4: Division

Let's assume the missing sign is division. We can rewrite the statement as $2\% \div \frac{3}{25}$. To divide these two values, we need to convert the percentage to a decimal.

$2\% = \frac{2}{100} = 0.02$

Now, we can divide the two values:

$0.02 \div \frac{3}{25} = 0.02 \div 0.12 = 0.1667$

However, this is not the correct answer. The correct answer is not a division.

After analyzing the problem, we can see that the correct answer is not any of the above options. The correct answer is actually a comparison.

Let's assume the missing sign is a comparison. We can rewrite the statement as $2\% \, ? \, \frac{3}{25}$. To compare these two values, we need to convert the percentage to a decimal.

$2\% = \frac{2}{100} = 0.02$

Now, we can compare the two values:

$2\% \, ? \, \frac{3}{25}$

Since $0.02$ is less than $0.12$, the correct answer is a less-than sign.

The correct answer is a less-than sign: $2\% \, < \, \frac{3}{25}$.

Q: What is the missing sign in the statement $2\% \, ? \, \frac{3}{25}$? A: The missing sign is a less-than sign: $2\% \, < \, \frac{3}{25}$.

Q: How do we convert a percentage to a decimal? A: To convert a percentage to a decimal, we divide the percentage value by 100.

Q: How do we compare two decimal values? A: To compare two decimal values, we can use the less-than, greater-than, or equal-to signs.

Q: What is the difference between a percentage and a fraction? A: A percentage is a way of expressing a value as a fraction of 100, while a fraction is a way of expressing a part of a whole.

Q: How do we add, subtract, multiply, or divide decimal values? A: To add, subtract, multiply, or divide decimal values, we can use the corresponding arithmetic operations.

Q: What is the correct answer to the problem $2\% \, ? \, \frac{3}{25}$? A: The correct answer is a less-than sign: $2\% \, < \, \frac{3}{25}$.