Math Problem Statement
Is -2 greater than -5? explain using a number line as a reference.
Solution
Yes, is greater than . Here's an explanation using a number line:
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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.
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Position of and :
- is positioned five units to the left of zero.
- is positioned two units to the left of zero.
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Comparing the Positions:
- On the number line, is farther to the left than .
- The farther left you go on the number line, the smaller the number.
Since is to the right of , 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:
- How do you determine the greater of two negative numbers without a number line?
- What happens when you compare positive and negative numbers?
- How does the distance from zero help in comparing negative numbers?
- Can you compare fractions using a number line?
- 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