Number Line Sequence: Finding Missing Numbers from -6 to 2

Q: Why do we have negative numbers on this number line?

Number lines can show any range of numbers! This one starts at -6 and goes to positive numbers. Negative numbers are just as valid as positive ones in sequences.

Q: How do I know the pattern is adding 2 instead of something else?

Look at the difference between consecutive numbers: $ -4 - (-6) = 2 $ and $ -2 - (-4) = 2 $. The pattern is consistent!

Q: What if I get confused with negative number arithmetic?

Remember: subtracting a negative is the same as adding! So $ -4 - (-6) = -4 + 6 = 2 $. Practice makes this automatic.

Q: Can the missing numbers be anything other than 0 and 2?

No! Since the pattern adds 2 each time, the missing numbers must be 0 and 2. Any other answer breaks the consistent pattern.

Q: How do I check if my answer is correct?

List all five numbers in order: $ -6, -4, -2, 0, 2 $. Each number should be exactly 2 more than the previous one.

Number Line Patterns with Negative Integers

What are the missing numbers?

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Understand the problem

What are the missing numbers?

Step-by-step solution

Let's look at the numbers from left to right:

$-6,-4,-2$

We notice that the common operation is:

$+2$

$-6+2=-4$

$-4+2=-2$

Therefore, the next sequence will be:

$-2+2=0$

$0+2=2$

Final Answer

0,2

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Identify the common difference between consecutive numbers
Technique: Add 2 to each term: $-2 + 2 = 0$ , $0 + 2 = 2$
Check: Verify the sequence $-6, -4, -2, 0, 2$ increases by 2 each time ✓

Common Mistakes

Avoid these frequent errors

Assuming all number lines start at zero or only use positive numbers
Don't think number lines can't have negative numbers = missing the pattern completely! This leads to wrong answers like 4, 6 instead of 0, 2. Always look at the given numbers first to identify if you're working with negatives, positives, or both.

Practice Quiz

Test your knowledge with interactive questions

$$ 5 < -5 $$

FAQ

Everything you need to know about this question

Why do we have negative numbers on this number line?

Number lines can show any range of numbers! This one starts at -6 and goes to positive numbers. Negative numbers are just as valid as positive ones in sequences.

How do I know the pattern is adding 2 instead of something else?

Look at the difference between consecutive numbers: $-4 - (-6) = 2$ and $-2 - (-4) = 2$ . The pattern is consistent!

What if I get confused with negative number arithmetic?

Remember: subtracting a negative is the same as adding! So $-4 - (-6) = -4 + 6 = 2$ . Practice makes this automatic.

Can the missing numbers be anything other than 0 and 2?

No! Since the pattern adds 2 each time, the missing numbers must be 0 and 2. Any other answer breaks the consistent pattern.

How do I check if my answer is correct?

List all five numbers in order: $-6, -4, -2, 0, 2$ . Each number should be exactly 2 more than the previous one.

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