Let’s solve this step by step. We’ll follow the path from START to END, filling in each circle as we go. The diagram has three columns — left, middle, and right — and arrows show the operations between circles.
We start at
5 (top left).
---
Left Column (going down):
1. Start:
5
2. + (-2) → 5 - 2 =
3
3. × 3 → 3 × 3 =
9
4. - (-1) → 9 + 1 =
10 *(subtracting a negative is adding)*
5. ÷ 2 → 10 ÷ 2 =
5
6. × 5 → 5 × 5 =
25
7. + (-5) → 25 - 5 =
20 → This matches the checkpoint at bottom middle!
✔
So left column ends at 20, which connects to the middle column’s bottom circle.
---
Middle Column (going UP from bottom):
Bottom circle is
20 (from left column’s result).
Now go up:
1. Start at bottom:
20
2. + (-8) → 20 - 8 =
12
3. ÷ 2 → 12 ÷ 2 =
6
4. + 4 → 6 + 4 =
10
5. × 3 → 10 × 3 =
30
6. - (-10) → 30 + 10 =
40 *(again, subtracting negative = adding)*
7. ÷ 2 → 40 ÷ 2 =
20 → This matches the top-right checkpoint!
✔
Perfect — so middle column leads to 20 at top right.
---
Right Column (going DOWN from top):
Top circle is
20 (from middle column’s result).
Go down:
1. Start:
20
2. + (-8) → 20 - 8 =
12
3. - (-12) → 12 + 12 =
24
4. ÷ 2 → 24 ÷ 2 =
12
5. + (-2) → 12 - 2 =
10
6. + (-10) → 10 - 10 =
0 → Matches END!
✔
Everything checks out.
---
Final Answer:
The final value at END is
0.
Parent Tip: Review the logic above to help your child master the concept of integer math worksheet.
