Problem Analysis:
The task involves solving a set of arithmetic problems and then plotting the results on a number line. The arithmetic problems are as follows:
1. \( 78 + 16 \)
2. \( 45 - 23 \)
3. \( 90 - 60 \)
4. \( 39 + 15 \)
After solving these problems, we need to plot the results on a number line.
---
Step-by-Step Solution:
####
1. Solve each arithmetic problem:
1.
\( 78 + 16 \):
\[
78 + 16 = 94
\]
2.
\( 45 - 23 \):
\[
45 - 23 = 22
\]
3.
\( 90 - 60 \):
\[
90 - 60 = 30
\]
4.
\( 39 + 15 \):
\[
39 + 15 = 54
\]
####
Results:
The solutions to the arithmetic problems are:
- \( 78 + 16 = 94 \)
- \( 45 - 23 = 22 \)
- \( 90 - 60 = 30 \)
- \( 39 + 15 = 54 \)
---
2. Plot the results on a number line:
To plot these numbers on a number line, follow these steps:
1.
Draw the number line:
- Start by drawing a horizontal line.
- Mark a point as "0" in the middle or at the left end.
- Extend the line to the right and mark equal intervals (e.g., every 10 units).
2.
Identify the range:
- The smallest number is \( 22 \).
- The largest number is \( 94 \).
- Choose a scale that accommodates all numbers comfortably. For example, you can use a scale where each unit represents 10.
3.
Mark the points:
- Place a dot at \( 22 \), \( 30 \), \( 54 \), and \( 94 \) on the number line.
####
Number Line Representation:
Here is a textual representation of the number line:
```
<---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|--->
0 10 20 30 40 50 60 70 80 90 100
* * * *
22 30 54 94
```
- The asterisks (*) represent the positions of the numbers \( 22 \), \( 30 \), \( 54 \), and \( 94 \) on the number line.
---
Final Answer:
The solutions to the arithmetic problems are:
\[
\boxed{94, 22, 30, 54}
\]
These numbers should be plotted on the number line as shown above.
Parent Tip: Review the logic above to help your child master the concept of where the wild things are worksheet.
