Number Line Position: Is Negative 6 to the Right of 2?

Q: Why are negative numbers on the left side?

By mathematical convention, number lines show increasing values from left to right. Since negative numbers are smaller than zero and positive numbers, they appear on the left side.

Q: How do I compare negative numbers with positive numbers?

Any negative number is always smaller than any positive number. So \( -6 , which means -6 is to the left of 2 on the number line.

Q: What if I need to compare two negative numbers?

For negative numbers, the one closer to zero is actually larger. For example: $ -2 > -6 $ because -2 is to the right of -6.

Q: How can I remember the direction on a number line?

Think of it like a thermometer: colder temperatures (negative) are at the bottom/left, warmer temperatures (positive) are at the top/right!

Q: What does 'to the right of' mean exactly?

'To the right of' means greater than on a number line. Since \( -6 , we know -6 is to the left of 2, not to the right.

Number Line Position with Negative Numbers

Does the number $-6$ appear on the number line to the right of number $2\text{?}$

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Step-by-step written solution

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Understand the problem

Does the number $-6$ appear on the number line to the right of number $2\text{?}$

Step-by-step solution

If we draw a number line, we can see that the number minus 6 is located to the left of the number 2:

Therefore, the answer is not correct.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: On number lines, numbers increase from left to right
Technique: Negative numbers are always left of zero: -6 < 0 < 2
Check: Compare positions visually: -6 is 8 units left of 2 ✓

Common Mistakes

Avoid these frequent errors

Confusing negative number positions
Don't assume -6 is right of 2 because 6 > 2 = wrong direction! The negative sign means the opposite direction from positive numbers. Always remember negative numbers are left of zero on the number line.

Practice Quiz

Test your knowledge with interactive questions

$$ 5 < -5 $$

FAQ

Everything you need to know about this question

Why are negative numbers on the left side?

By mathematical convention, number lines show increasing values from left to right. Since negative numbers are smaller than zero and positive numbers, they appear on the left side.

How do I compare negative numbers with positive numbers?

Any negative number is always smaller than any positive number. So $-6 < 2$ , which means -6 is to the left of 2 on the number line.

What if I need to compare two negative numbers?

For negative numbers, the one closer to zero is actually larger. For example: $-2 > -6$ because -2 is to the right of -6.

How can I remember the direction on a number line?

Think of it like a thermometer: colder temperatures (negative) are at the bottom/left, warmer temperatures (positive) are at the top/right!

What does 'to the right of' mean exactly?

'To the right of' means greater than on a number line. Since $-6 < 2$ , we know -6 is to the left of 2, not to the right.

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