Number Line Inequality: Comparing Points A and B with Integer Scale -5 to 5

Q: Why is -4 greater than -5 when 4 is less than 5?

Think of negative numbers as debts! Having a debt of $4 is better than having a debt of $5. On the number line, -4 is closer to zero than -5, making it the larger value.

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

Use the number line! The number that appears further to the right is always greater. Since -4 is to the right of -5, we know $ -4 > -5 $.

Q: What if both numbers were positive instead?

If A was at 5 and B was at 4, then $ A > B $ because $ 5 > 4 $. With positive numbers, the usual rules apply!

Q: Can I use this method for any numbers on a number line?

Absolutely! Whether dealing with integers, fractions, or decimals, the rule stays the same: rightward positions represent greater values.

Q: What does the inequality B > A actually mean?

The inequality $ B > A $ means "B is greater than A" or "B has a larger value than A". Since B = -4 and A = -5, we're checking if $ -4 > -5 $, which is true!

Number Line Comparisons with Negative Integers

$B>A$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$B>A$

Step-by-step solution

We first locate the numerical representation of the letter on the number line:

$B=-4$

$A=-5$

We compare their two values:

$-4 > -5$

It appears that the answer is indeed correct.

Final Answer

True

Key Points to Remember

Essential concepts to master this topic

Rule: On number lines, values increase moving right from left
Technique: Point B at -4 is right of A at -5
Check: Compare positions: -4 is greater than -5 since -4 > -5 ✓

Common Mistakes

Avoid these frequent errors

Thinking larger negative numbers are greater
Don't assume -5 > -4 because 5 > 4 = wrong comparison! This ignores the negative signs completely. Always remember that -4 is closer to zero than -5, making -4 the larger value.

Practice Quiz

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What is the distance between 0 and F?

FAQ

Everything you need to know about this question

Why is -4 greater than -5 when 4 is less than 5?

Think of negative numbers as debts! Having a debt of $4 is better than having a debt of $5. On the number line, -4 is closer to zero than -5, making it the larger value.

How do I remember which negative number is bigger?

Use the number line! The number that appears further to the right is always greater. Since -4 is to the right of -5, we know $-4 > -5$ .

What if both numbers were positive instead?

If A was at 5 and B was at 4, then $A > B$ because $5 > 4$ . With positive numbers, the usual rules apply!

Can I use this method for any numbers on a number line?

Absolutely! Whether dealing with integers, fractions, or decimals, the rule stays the same: rightward positions represent greater values.

What does the inequality B > A actually mean?

The inequality $B > A$ means "B is greater than A" or "B has a larger value than A". Since B = -4 and A = -5, we're checking if $-4 > -5$ , which is true!

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