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. Here's an explanation using a number line:

  1. Visualize the Number Line: A number line typically has zero in the center, with positive numbers to the right and negative numbers to the left.

  2. Position of 5-5 and 2-2:

    • 5-5 is positioned five units to the left of zero.
    • 2-2 is positioned two units to the left of zero.
  3. Comparing the Positions:

    • On the number line, 5-5 is farther to the left than 2-2.
    • The farther left you go on the number line, the smaller the number.

Since 2-2 is to the right of 5-5, it is indeed greater. The key idea is that on a number line, moving to the right represents increasing values, even among negative numbers.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you determine the greater of two negative numbers without a number line?
  2. What happens when you compare positive and negative numbers?
  3. How does the distance from zero help in comparing negative numbers?
  4. Can you compare fractions using a number line?
  5. How do you locate decimals on a number line?

Tip: The further to the right a number is on the number line, the greater its value.

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Math Problem Analysis

Mathematical Concepts

Number Line
Comparing Numbers
Negative Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 3-5