Number Line Position: Identifying the Value at Point '?'

Q: Why do I count intervals and not the points on the line?

The intervals (spaces between points) show how the number line is divided. If there are 4 equal intervals from 0 to 1, each interval represents $ \frac{1}{4} $.

Q: What if the number line doesn't start at 0?

Look for any two labeled points to find the pattern. The distance and number of intervals between them tells you the size of each step.

Q: Can I simplify the fractions I find?

Yes! Always simplify when possible. For example, $ \frac{2}{4} = \frac{1}{2} $ and $ \frac{4}{4} = 1 $.

Q: What if there are more points between 0 and 1?

More points mean smaller fractions! With 8 intervals, each step would be $ \frac{1}{8} $. The denominator always equals the number of equal intervals.

Fraction Number Lines with Equal Intervals

What number is missing (?) from 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 4 segments

00:14 and each segment equals a quarter, let's count them

00:22 Let's see which segment is highlighted

00:26 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 number is missing (?) from the number line below?

Step-by-step solution

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

Since there are 4 in total, we'll define the 0 point as the followifraction:

$\frac{0}{4}$

We will also define 1 as the following fraction:

$\frac{4}{4}$

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

Final Answer

$\frac{1}{4}$

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Count total points to determine the denominator
Technique: From 0 to 1 with 4 equal parts makes $\frac{1}{4}$ intervals
Check: Position matches: first mark after 0 equals $\frac{1}{4}$ ✓

Common Mistakes

Avoid these frequent errors

Counting points instead of intervals
Don't count the 5 points and think the answer is $\frac{1}{5}$ = wrong fraction! Points mark the divisions, but intervals between them determine the fraction size. Always count the spaces between points (4 intervals from 0 to 1).

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

Why do I count intervals and not the points on the line?

The intervals (spaces between points) show how the number line is divided. If there are 4 equal intervals from 0 to 1, each interval represents $\frac{1}{4}$ .

How do I know what fraction each point represents?

Start at 0 and count how many intervals you've moved. The first point after 0 is $\frac{1}{4}$ , the second is $\frac{2}{4}$ , and so on.

What if the number line doesn't start at 0?

Look for any two labeled points to find the pattern. The distance and number of intervals between them tells you the size of each step.

Can I simplify the fractions I find?

Yes! Always simplify when possible. For example, $\frac{2}{4} = \frac{1}{2}$ and $\frac{4}{4} = 1$ .

What if there are more points between 0 and 1?

More points mean smaller fractions! With 8 intervals, each step would be $\frac{1}{8}$ . The denominator always equals the number of equal intervals.

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