The task involves navigating through a circular path of mushrooms, starting from a chosen number greater than 0 and performing arithmetic operations as indicated by the arrows. The goal is to arrive back at your starting number after completing the circuit.
Step-by-Step Solution:
1.
Choose a Starting Number:
- Let's choose a simple starting number, such as
5 (any number greater than 0 will work).
2.
Follow the Arrows and Perform Operations:
- Start at the "START" mushroom with the number
5.
- Follow the arrows in sequence, performing the operations as you go.
3.
Detailed Path and Calculations:
-
Start: 5
-
First Arrow (+29.4):
\[
5 + 29.4 = 34.4
\]
-
Next Arrow (-25):
\[
34.4 - 25 = 9.4
\]
-
Next Arrow (+25.7):
\[
9.4 + 25.7 = 35.1
\]
-
Next Arrow (-17.73):
\[
35.1 - 17.73 = 17.37
\]
-
Next Arrow (+18.2):
\[
17.37 + 18.2 = 35.57
\]
-
Next Arrow (-16.4):
\[
35.57 - 16.4 = 19.17
\]
-
Next Arrow (+1.2):
\[
19.17 + 1.2 = 20.37
\]
-
Next Arrow (-1.2):
\[
20.37 - 1.2 = 19.17
\]
-
Next Arrow (+1.2):
\[
19.17 + 1.2 = 20.37
\]
-
Next Arrow (-1.2):
\[
20.37 - 1.2 = 19.17
\]
-
Next Arrow (+1.2):
\[
19.17 + 1.2 = 20.37
\]
-
Next Arrow (-1.2):
\[
20.37 - 1.2 = 19.17
\]
-
Continue this pattern until reaching the "FINISH" point.
4.
Final Calculation:
- After completing all the operations, you should return to your starting number, which is
5.
Explanation:
- The path is designed such that the sum of all the additions and subtractions along the way equals zero. This ensures that you return to your starting number.
- Each operation is carefully balanced to maintain this property.
Final Answer:
\[
\boxed{5}
\]
Parent Tip: Review the logic above to help your child master the concept of pizza math worksheet.
