Number Line Problem: Find the Value at the Red Point (0-9 Scale)

Q: What if the numbers don't seem to follow any pattern?

Look more carefully! Calculate the differences between consecutive numbers. Even if the pattern isn't obvious at first, there's usually a repeating sequence of differences.

Q: Why are some numbers missing from the number line?

Number lines don't always show every number! The labeled points give you clues about the pattern. Use the differences between these points to find missing values.

Q: How do I know which direction the pattern goes?

Read from left to right on the number line. Calculate differences moving in this direction: second number minus first number, third minus second, etc.

Q: Can I just guess based on what looks right?

Never guess! Always calculate the differences step by step. Patterns in math have specific rules, and guessing often leads to wrong answers.

Pattern Recognition with Sequential Differences

What number appears at the point marked in red?

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Understand the problem

What number appears at the point marked in red?

Step-by-step solution

Let's first look at the numbers on the number line from left to right:

$0,2,3,5,6$

We'll try to find the common pattern.

Note that the difference between 0 and 2 is +2.

The difference between 2 and 3 is +1.

The difference between 3 and 5 is +2.

The difference between 5 and 6 is +1.

Therefore, the next operation is +2:

$6+2=8$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Pattern: Find differences between consecutive numbers on the number line
Technique: Alternating differences: +2, +1, +2, +1, so next is +2
Check: Verify pattern holds: 0→2(+2), 2→3(+1), 3→5(+2), 5→6(+1), 6→8(+2) ✓

Common Mistakes

Avoid these frequent errors

Assuming equal spacing between all points
Don't assume all numbers are equally spaced like 0, 1, 2, 3... = wrong pattern! This ignores the actual given numbers. Always calculate the actual differences between consecutive labeled points to find the true pattern.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

What if the numbers don't seem to follow any pattern?

Look more carefully! Calculate the differences between consecutive numbers. Even if the pattern isn't obvious at first, there's usually a repeating sequence of differences.

Why are some numbers missing from the number line?

Number lines don't always show every number! The labeled points give you clues about the pattern. Use the differences between these points to find missing values.

How do I know which direction the pattern goes?

Read from left to right on the number line. Calculate differences moving in this direction: second number minus first number, third minus second, etc.

What if I get confused about which difference comes next?

Write out the pattern clearly! For this problem: +2, +1, +2, +1... The pattern alternates, so after +1 comes +2 again.

Can I just guess based on what looks right?

Never guess! Always calculate the differences step by step. Patterns in math have specific rules, and guessing often leads to wrong answers.

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