is -2 greater than -5? explain using a number line as a reference.

Yes, \(-2\) is greater than \(-5\). Let's understand this using a number line.

### Explanation Using a Number Line:

A number line is a straight horizontal line with numbers placed at equal intervals along its length. The numbers increase as you move to the right and decrease as you move to the left.

Here's a simplified number line to illustrate the concept:

\[
\ldots \, -6 \, \, -5 \, \, -4 \, \, -3 \, \, -2 \, \, -1 \, \, 0 \, \, 1 \, \, 2 \, \, 3 \, \, 4 \, \, 5 \, \ldots
\]

### Key Points:
- **Left to Right:** As you move to the right on the number line, the numbers become larger.
- **Comparison:** \(-2\) is to the right of \(-5\) on the number line.

Since \(-2\) is located to the right of \(-5\), it is greater than \(-5\).

### Why is \(-2\) Greater than \(-5\)?
- In negative numbers, the closer a number is to zero, the greater it is. 
- Therefore, since \(-2\) is closer to zero than \(-5\), \(-2\) is greater than \(-5\).

Would you like more details or have any questions?

### Related Questions:
1. How can you compare two negative numbers quickly?
2. What is the significance of zero on a number line?
3. How do you add and subtract using a number line?
4. What is the relationship between positive and negative numbers?
5. How do you multiply and divide negative numbers?

### Tip:
When comparing negative numbers, remember that the number with the smaller absolute value (closer to zero) is the greater number.

Explore why -2 is greater than -5 using a number line. Learn how negative numbers are compared based on their positions relative to zero. Suitable for students in Grades 3-5.

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