Math Problem Statement
is -2 greater than -5? explain using a number line as a reference.
Solution
Yes, is greater than . 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:
Key Points:
- Left to Right: As you move to the right on the number line, the numbers become larger.
- Comparison: is to the right of on the number line.
Since is located to the right of , it is greater than .
Why is Greater than ?
- In negative numbers, the closer a number is to zero, the greater it is.
- Therefore, since is closer to zero than , is greater than .
Would you like more details or have any questions?
Related Questions:
- How can you compare two negative numbers quickly?
- What is the significance of zero on a number line?
- How do you add and subtract using a number line?
- What is the relationship between positive and negative numbers?
- 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.
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Math Problem Analysis
Mathematical Concepts
Number Line
Comparing Negative Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 3-5