Number Line Comparison: Mapping Letters A-J to Integers from -4 to 5

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

Look directly below each letter on the number line! The number shown underneath tells you the value. For example, H sits above the number 3, so H = 3.

Q: Why isn't the answer based on alphabetical order?

Mathematical position matters, not alphabet order! On number lines, we only care about numeric value. J = 5 is largest even though other letters come later alphabetically.

Q: How can I quickly find the largest value?

Look for the letter positioned farthest to the right on the number line. Moving right means increasing value, so the rightmost position has the largest number.

Q: What does the negative sign mean for letters like A?

Negative numbers are smaller than positive numbers. A = -4 means A is 4 units left of zero, making it smaller than any positive value like G = 2 or J = 5.

Number Line Comparison with Letter Substitution

Which is larger?

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Understand the problem

Which is larger?

Step-by-step solution

Let's look at the number line and locate each letter:

$H=3$

$G=2$

$J=5$

$G-C=2-(-2)$

Let's now solve the problem whilst remembering the below rule:

$-(-x)=+x$

Therefore:

$G-C=2+2=4$

In conclusion J is the largest.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Position Rule: Letters farther right on number line represent larger values
Letter Values: Read coordinates below: A=-4, G=2, H=3, J=5
Check: Compare all values: J=5 is rightmost position, so largest ✓

Common Mistakes

Avoid these frequent errors

Confusing letter positions with their numeric values
Don't assume letters later in alphabet are automatically larger values like thinking J>H because J comes after H in alphabet! Letter position on the number line determines value, not alphabetical order. Always read the numeric coordinate below each letter.

Practice Quiz

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All negative numbers appear on the number line to the left of the number 0.

FAQ

Everything you need to know about this question

How do I know which letter represents which number?

Look directly below each letter on the number line! The number shown underneath tells you the value. For example, H sits above the number 3, so H = 3.

What if I need to calculate G - C like in the choices?

Find each letter's value first: G = 2 and C = -2. Then calculate: $G - C = 2 - (-2) = 2 + 2 = 4$ . Remember that subtracting a negative becomes addition!

Why isn't the answer based on alphabetical order?

Mathematical position matters, not alphabet order! On number lines, we only care about numeric value. J = 5 is largest even though other letters come later alphabetically.

How can I quickly find the largest value?

Look for the letter positioned farthest to the right on the number line. Moving right means increasing value, so the rightmost position has the largest number.

What does the negative sign mean for letters like A?

Negative numbers are smaller than positive numbers. A = -4 means A is 4 units left of zero, making it smaller than any positive value like G = 2 or J = 5.

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