Math Problem Statement

Is -2 greater than -5? explain using a number line as a referenc.

Solution

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

To understand this using a number line:

  1. Number Line Basics: On a number line, numbers to the right are greater than numbers to the left.

  2. Locating the Numbers: If you place 5-5 and 2-2 on the number line, 5-5 will be to the left of 2-2.

  3. Comparison: Since 2-2 is to the right of 5-5, 2-2 is greater than 5-5.

This concept reflects that as you move right on the number line, the values increase, even when dealing with negative numbers.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the relationship between positive and negative numbers on the number line?
  2. How does the position of zero affect comparisons between negative and positive numbers?
  3. How can we determine if one negative number is greater than another without a number line?
  4. What is the significance of absolute values in comparing negative numbers?
  5. How does the comparison of decimals differ from the comparison of integers on the number line?

Tip: Always remember that on a number line, moving right means increasing value, even for negative numbers.

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Math Problem Analysis

Mathematical Concepts

Number Line
Comparison of Integers

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6