https://file.aiquickdraw.com/mathbot/file/1727179531917vey9px3x.jpg

Let's analyze the problem in the image to determine the correct inequality sign.

We are comparing the two numbers: 

- \( -0.5740 \)
- \( -\frac{1}{3} \), which is approximately \( -0.3333 \).

### Step-by-step comparison:
1. \( -0.5740 \) is less than \( -0.3333 \), because when comparing negative numbers, the one closer to zero is larger.

Therefore, the correct relation is:

\[
-0.5740 < -\frac{1}{3}
\]

So, the correct sign to make the statement true is **"<"**.

Would you like more details or have any questions?

### Related Questions:
1. How do we compare negative decimal numbers?
2. What is the rule for comparing two negative fractions?
3. How do you convert fractions to decimals for easier comparison?
4. Why is \( -0.5740 \) smaller than \( -\frac{1}{3} \)?
5. What is the general rule for comparing negative numbers?

### Tip:
When comparing negative numbers, remember that the number closer to zero is always greater than the one further away.

Which sign makes the statement true? -0.5740 ? -1/3

Learn how to compare negative numbers like -0.5740 and -1/3. Understand the rules for comparing decimals and fractions, and why -0.5740 is less than -1/3. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation