Compare Points A and K: Finding the Correct Inequality Symbol on a Number Line

Number Line Comparison with Negative Values

Fill in the corresponding sign

A?K A?K

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the corresponding sign

A?K A?K

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

2

Step-by-step solution

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

A=5 A=-5

K=5 K=5

After locating the numbers, we can determine:

5<5 -5<5

3

Final Answer

< <

Key Points to Remember

Essential concepts to master this topic
  • Rule: Numbers increase from left to right on number lines
  • Technique: Locate positions: A is at -5, K is at 5
  • Check: Verify 5<5 -5 < 5 by counting rightward movement ✓

Common Mistakes

Avoid these frequent errors
  • Thinking negative numbers are greater because they look bigger
    Don't compare -5 and 5 by looking at the digit size = wrong comparison! The negative sign makes -5 smaller than any positive number. Always remember that negative numbers are always less than positive numbers.

Practice Quiz

Test your knowledge with interactive questions

Fill in the corresponding sign

D ? J

AAA-6-6-6BBB-5-5-5CCC-4-4-4DDD-3-3-3EEE-2-2-2FFF-1-1-1GGG000HHH111III222JJJ333KKK444LLL555MMM666NNN777

FAQ

Everything you need to know about this question

Why is -5 less than 5 when 5 looks smaller than -5?

+

The negative sign is crucial! Think of it as debt vs. money: having -5 dollars (owing 5) is worse than having 5 dollars. On a number line, negative numbers are always to the left of positive numbers.

How do I remember which way the inequality symbol goes?

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The pointy end always points to the smaller number! Think of it like a hungry alligator that wants to eat the bigger number: 5<5 -5 < 5 means the alligator eats 5.

What if both numbers were negative?

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With two negative numbers, the one closer to zero is greater. For example: 2>5 -2 > -5 because -2 is further right on the number line.

Do I always need to look at the number line?

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Not always! Once you understand the pattern, you can compare mentally. But drawing a quick number line is always helpful when you're unsure about negative number comparisons.

What's the difference between < and ≤?

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< means 'less than' (not equal), while ≤ means 'less than or equal to'. Since A = -5 and K = 5 are different numbers, we use < here.

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