Math Problem Statement

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

Solution

Yes, 2-2 is greater than 5-5. 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:

654321012345\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: 2-2 is to the right of 5-5 on the number line.

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

Why is 2-2 Greater than 5-5?

  • In negative numbers, the closer a number is to zero, the greater it is.
  • Therefore, since 2-2 is closer to zero than 5-5, 2-2 is greater than 5-5.

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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Line
Comparing Negative Numbers

Formulas

-

Theorems

-

Suitable Grade Level

Grades 3-5