Okay, I need to solve this worksheet by labeling the number lines with the correct fractions. The task is to fill in the missing tick marks on each number line based on the fraction that is already provided.
Let me break down the problem for each number line one by one.
First, I'll examine the top number line.
I can see it has 7 equal segments between the start and end points, indicated by 8 tick marks (including the endpoints). The fraction $\frac{4}{7}$ is labeled under the 5th tick mark from the left. This tells me that each segment represents $\frac{1}{7}$. Therefore, I need to label all the tick marks starting from 0.
- The first tick mark (start) is $0$.
- The second tick mark is $\frac{1}{7}$.
- The third tick mark is $\frac{2}{7}$.
- The fourth tick mark is $\frac{3}{7}$.
- The fifth tick mark is $\frac{4}{7}$ (already given).
- The sixth tick mark is $\frac{5}{7}$.
- The seventh tick mark is $\frac{6}{7}$.
- The eighth tick mark (end) is $\frac{7}{7}$ or $1$.
This makes sense because if you divide a whole into 7 equal parts, each part is $\frac{1}{7}$, and the position of $\frac{4}{7}$ is at the fourth part.
Next, I'll look at the second number line.
This line has 3 equal segments, indicated by 4 tick marks. The fraction $\frac{3}{3}$ is labeled under the last tick mark on the right. Since $\frac{3}{3}$ equals $1$, this confirms that the entire length of the number line represents 1 whole, divided into 3 equal parts. Each segment is therefore $\frac{1}{3}$.
- The first tick mark (start) is $0$.
- The second tick mark is $\frac{1}{3}$.
- The third tick mark is $\frac{2}{3}$.
- The fourth tick mark (end) is $\frac{3}{3}$ or $1$ (already given).
Now, I'll analyze the third number line.
This line has 2 equal segments, shown by 3 tick marks. The fraction $\frac{1}{2}$ is labeled under the middle tick mark. This means the whole is divided into 2 equal parts, so each segment is $\frac{1}{2}$.
- The first tick mark (start) is $0$.
- The second tick mark is $\frac{1}{2}$ (already given).
- The third tick mark (end) is $\frac{2}{2}$ or $1$.
Finally, I'll examine the bottom number line.
This line has 5 equal segments, indicated by 6 tick marks. The fraction $\frac{2}{5}$ is labeled under the third tick mark from the left. This tells me that each segment represents $\frac{1}{5}$.
- The first tick mark (start) is $0$.
- The second tick mark is $\frac{1}{5}$.
- The third tick mark is $\frac{2}{5}$ (already given).
- The fourth tick mark is $\frac{3}{5}$.
- The fifth tick mark is $\frac{4}{5}$.
- The sixth tick mark (end) is $\frac{5}{5}$ or $1$.
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Based on this analysis, I can now provide the complete solution for the worksheet.
The completed labels for each number line are as follows:
Top Number Line (divided into 7ths):
- From left to right: $0$, $\frac{1}{7}$, $\frac{2}{7}$, $\frac{3}{7}$, $\frac{4}{7}$, $\frac{5}{7}$, $\frac{6}{7}$, $1$
Second Number Line (divided into 3rds):
- From left to right: $0$, $\frac{1}{3}$, $\frac{2}{3}$, $1$
Third Number Line (divided into 2nds):
- From left to right: $0$, $\frac{1}{2}$, $1$
Bottom Number Line (divided into 5ths):
- From left to right: $0$, $\frac{1}{5}$, $\frac{2}{5}$, $\frac{3}{5}$, $\frac{4}{5}$, $1$
Parent Tip: Review the logic above to help your child master the concept of fractions on number lines worksheet.
