Compare Letters B and G: Finding the Correct Relational Operator (>, <, =)

Q: How do I know which number each letter represents?

Look at the number line diagram carefully! Each letter is positioned above its corresponding number. For example, B is directly above -4, and G is directly above 1.

Q: What if two letters seem close together on the number line?

Read the numbers below each letter precisely. Even if letters look close visually, their exact numerical values determine the comparison, not their visual spacing.

Q: Does the alphabetical order of letters matter?

No! The alphabetical order (A, B, C...) has nothing to do with their numerical values. Only their position on the number line determines their mathematical value.

Q: How do I remember which inequality symbol to use?

Think of the inequality symbol as an arrow pointing to the smaller number. Since -4 is smaller than 1, the arrow points from -4 to 1: \( -4

Q: What if one letter is negative and the other is positive?

Negative numbers are always smaller than positive numbers! So any negative value will be less than any positive value. B = -4 is negative, G = 1 is positive, so B

Number Line Comparison with Letter Values

Fill in the missing(?) sign:

$B?G$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing(?) sign:

$B?G$

Step-by-step solution

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

$B=-4$

$G=1$

After locating the numbers, we can determine:

$-4<1$

Final Answer

$<$

Key Points to Remember

Essential concepts to master this topic

Location Rule: Letters represent specific numerical values on the number line
Reading Technique: B is at -4, G is at 1, so -4 < 1
Verification: Check positions: B is left of zero, G is right of zero ✓

Common Mistakes

Avoid these frequent errors

Comparing letters alphabetically instead of by position
Don't compare B and G alphabetically thinking B < G because B comes before G in the alphabet = wrong reasoning! Letter order doesn't determine numerical value. Always locate each letter's actual position on the number line first.

Practice Quiz

Test your knowledge with interactive questions

Fill in the corresponding sign

D ? J

FAQ

Everything you need to know about this question

How do I know which number each letter represents?

Look at the number line diagram carefully! Each letter is positioned above its corresponding number. For example, B is directly above -4, and G is directly above 1.

What if two letters seem close together on the number line?

Read the numbers below each letter precisely. Even if letters look close visually, their exact numerical values determine the comparison, not their visual spacing.

Does the alphabetical order of letters matter?

No! The alphabetical order (A, B, C...) has nothing to do with their numerical values. Only their position on the number line determines their mathematical value.

How do I remember which inequality symbol to use?

Think of the inequality symbol as an arrow pointing to the smaller number. Since -4 is smaller than 1, the arrow points from -4 to 1: $-4 < 1$

What if one letter is negative and the other is positive?

Negative numbers are always smaller than positive numbers! So any negative value will be less than any positive value. B = -4 is negative, G = 1 is positive, so B < G.

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