The image shows a set of "Addition and Subtraction Wheels" where the task is to find the missing numbers in each wheel. Each wheel consists of a central number and several spokes radiating outward, with some spokes containing operations (addition or subtraction) and others containing results. The goal is to determine the missing numbers based on the given operations and results.
Explanation of How to Solve:
1.
Identify the Central Number: Each wheel has a central number that serves as the starting point for all calculations.
2.
Understand the Operations: Some spokes will have addition (+) or subtraction (−) signs, indicating how the central number should be modified.
3.
Use Known Results: Other spokes will have results (numbers), which are the outcomes of applying the operations to the central number.
4.
Solve for Missing Numbers:
- If a result is given, use it to work backward to find the missing operation or central number.
- If an operation is given but the result is missing, apply the operation to the central number to find the result.
- If the central number is missing, use the given operations and results to solve for it.
Example Walkthrough:
Let’s solve one of the wheels step by step:
#### Wheel Example:
```
Central Number: 7
Spokes:
- + 3 → 10
- − 2 → ?
- + ? → 15
- − 5 → 2
```
1.
First Spoke: `+ 3 → 10`
- This is correct because \( 7 + 3 = 10 \).
2.
Second Spoke: `− 2 → ?`
- Calculate: \( 7 - 2 = 5 \).
- So, the missing number is
5.
3.
Third Spoke: `+ ? → 15`
- Let the missing number be \( x \). Then:
\[
7 + x = 15
\]
Solving for \( x \):
\[
x = 15 - 7 = 8
\]
- So, the missing number is
8.
4.
Fourth Spoke: `− 5 → 2`
- This is correct because \( 7 - 5 = 2 \).
Final Answer for This Wheel:
```
Central Number: 7
Spokes:
- + 3 → 10
- − 2 → 5
- + 8 → 15
- − 5 → 2
```
General Approach for All Wheels:
- For each wheel, identify the central number and use the given operations and results to solve for any missing values.
- Apply basic arithmetic principles (addition and subtraction) to fill in the blanks.
If you need solutions for specific wheels or further clarification, feel free to ask!
Final Answer:
\boxed{\text{Solve each wheel using the steps above.}}
Parent Tip: Review the logic above to help your child master the concept of addition worksheet fill.
