Number Line Comparison: Evaluating E < C on Integer Scale (-5 to 5)

Q: Why is -1 greater than -3 when 1 is less than 3?

Great question! With negative numbers, the rules flip. Think of it like temperature: -1°F is warmer (greater) than -3°F because it's closer to zero on the number line.

Q: How can I remember which negative number is bigger?

Use the number line trick: whichever negative number is closer to zero (farther right) is the larger number. So -1 is bigger than -3 because -1 is closer to 0.

Q: What does the < symbol mean exactly?

The symbol \( means "less than". So \( E asks if E's value is less than C's value. Since -1 is NOT less than -3, the statement is False.

Q: Can I just ignore the negative signs?

Never ignore negative signs! They completely change the value. Always consider the full number including its sign when comparing on a number line.

Q: How do I read positions on a number line quickly?

Start by finding the numbers below the line first, then match them to the letters above. E is above -1 and C is above -3, so you can compare -1 and -3 directly.

Integer Comparison with Negative Values

True of False?

$E < C$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

True of False?

$E < C$

Step-by-step solution

Let's locate the letters on the number line and see which numbers represent them:

$E=-1$

$C=-3$

Let's plot and observe that:

$-1 < -3$

Therefore, the expression is incorrect.

Final Answer

False

Key Points to Remember

Essential concepts to master this topic

Number Line Rule: Numbers increase in value from left to right
Position Technique: E is at -1, C is at -3, so -1 > -3
Verification: Check positions visually: E is right of C, so E > C ✓

Common Mistakes

Avoid these frequent errors

Thinking larger negative numbers are greater
Don't assume -3 > -1 because 3 > 1 = wrong comparison! This ignores the negative signs completely. Always remember that negative numbers get smaller as they move away from zero.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why is -1 greater than -3 when 1 is less than 3?

Great question! With negative numbers, the rules flip. Think of it like temperature: -1°F is warmer (greater) than -3°F because it's closer to zero on the number line.

How can I remember which negative number is bigger?

Use the number line trick: whichever negative number is closer to zero (farther right) is the larger number. So -1 is bigger than -3 because -1 is closer to 0.

What does the < symbol mean exactly?

The symbol $<$ means "less than". So $E < C$ asks if E's value is less than C's value. Since -1 is NOT less than -3, the statement is False.

Can I just ignore the negative signs?

Never ignore negative signs! They completely change the value. Always consider the full number including its sign when comparing on a number line.

How do I read positions on a number line quickly?

Start by finding the numbers below the line first, then match them to the letters above. E is above -1 and C is above -3, so you can compare -1 and -3 directly.

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