Number Line Position: Identifying the Point Between 0 and 1

Q: How do I know what the denominator should be?

Count the total number of equal divisions between 0 and 1. In this problem, there are 11 equal parts total, so the denominator is 11.

Q: Why is the answer 10/11 and not 9/11?

The question mark is at the 10th division point from 0. Count carefully: 0 is the starting point, then count each mark until you reach the ?. You should count 10 steps.

Q: How can I check if my fraction is in the right position?

Ask yourself: Is my fraction close to 1 but still less than 1? Since $ \frac{10}{11} $ is very close to $ \frac{11}{11} = 1 $, this makes sense for the position shown.

Q: What if I can't see all the marks clearly?

Look for the pattern of equal spacing. Count the marks you can see clearly, then use that spacing to determine the total number of divisions between 0 and 1.

Q: Do I need to simplify 10/11?

No! $ \frac{10}{11} $ is already in simplest form because 10 and 11 share no common factors other than 1.

Fraction Positioning with Eleventh Divisions

What is the missing number (?) on the number line below?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the highlighted number

00:04 It seems the axis is divided into 11 segments

00:10 Let's count each segment

00:34 Let's see which segment is highlighted

00:39 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the missing number (?) on the number line below?

Step-by-step solution

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

Since there are 11 in total, we'll define the 0 point as the following fraction:

$\frac{0}{11}$

We will also define 1 as the following fraction:

$\frac{11}{11}$

Now let's fill in each point on the sequence to discover what our missing number is:

Final Answer

$\frac{10}{11}$

Key Points to Remember

Essential concepts to master this topic

Counting Strategy: Count total divisions between known points to find denominator
Position Method: From 0 to ?, there are 10 equal steps out of 11 total
Verification: Check that $\frac{10}{11}$ is close to 1 but less than 1 ✓

Common Mistakes

Avoid these frequent errors

Miscounting the number of divisions on the number line
Don't count only the visible marks or forget to include the endpoint = wrong denominator! This leads to fractions like 9/10 instead of the correct answer. Always count all equal divisions from 0 to 1, including both endpoints.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know what the denominator should be?

Count the total number of equal divisions between 0 and 1. In this problem, there are 11 equal parts total, so the denominator is 11.

Why is the answer 10/11 and not 9/11?

The question mark is at the 10th division point from 0. Count carefully: 0 is the starting point, then count each mark until you reach the ?. You should count 10 steps.

How can I check if my fraction is in the right position?

Ask yourself: Is my fraction close to 1 but still less than 1? Since $\frac{10}{11}$ is very close to $\frac{11}{11} = 1$ , this makes sense for the position shown.

What if I can't see all the marks clearly?

Look for the pattern of equal spacing. Count the marks you can see clearly, then use that spacing to determine the total number of divisions between 0 and 1.

Do I need to simplify 10/11?

No! $\frac{10}{11}$ is already in simplest form because 10 and 11 share no common factors other than 1.

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