Find the Missing Value: Locating Points on a 0-to-1 Number Line

Fraction Number Lines with Equal Divisions

What number is marked with a question mark (?) on the number line below?

000???111

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the highlighted number
00:03 It appears the axis is divided into 6 segments
00:08 and each segment equals one sixth, let's count them
00:20 Let's see which segment is highlighted
00:25 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What number is marked with a question mark (?) on the number line below?

000???111

2

Step-by-step solution

Let's first count how many points, including the number 1, thre are on the number line.

Since there are 6 in total, we'll define the 0 point as the following fraction:

06 \frac{0}{6}

We will also define 1 as the following fraction:

66 \frac{6}{6}

Now let's fill in each point on the number line to discover which number is represented by the question mark:

3

Final Answer

46 \frac{4}{6}

Key Points to Remember

Essential concepts to master this topic
  • Count Total Points: Find all marks from 0 to 1 including endpoints
  • Position Method: Point at position 5 out of 7 total equals 57 \frac{5}{7}
  • Verify: Count spaces between marks to confirm equal divisions ✓

Common Mistakes

Avoid these frequent errors
  • Counting spaces instead of points
    Don't count the 5 spaces between marks = 55=1 \frac{5}{5} = 1 which is wrong! This gives the endpoint value, not the question mark position. Always count all points including 0 and 1, then find which position the question mark occupies.

Practice Quiz

Test your knowledge with interactive questions

What number is marked on the number axis?

000111

FAQ

Everything you need to know about this question

How do I know how many equal parts the number line is divided into?

+

Count all the points from 0 to 1, including both endpoints. If there are 7 points total, the number line is divided into 16 \frac{1}{6} , 26 \frac{2}{6} , 36 \frac{3}{6} , etc.

What's the difference between counting points and counting spaces?

+

Points are the dots or marks on the line. Spaces are the gaps between points. Always count points to find the denominator, then see which point number the question mark is at.

Why does the question mark show 46 \frac{4}{6} and not 23 \frac{2}{3} ?

+

Both are correct! 46=23 \frac{4}{6} = \frac{2}{3} when simplified. The question shows 46 \frac{4}{6} because there are 6 equal parts and the question mark is at the 4th position.

How can I check if my answer makes sense?

+

Look at the position visually! The question mark should be more than halfway from 0 to 1. Since 46 \frac{4}{6} is greater than 36=12 \frac{3}{6} = \frac{1}{2} , this makes sense ✓

What if the number line goes beyond 1?

+

The same method works! Count all points in the section you're examining. If you see points at 0, 1, and beyond, each section still follows the same equal division pattern.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Simple Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations