Let's solve this step-by-step.
We are given a sequence of numbers to add:
3 + 2 + 5 + 5 + 1 + 7 + 8 + 2 + 6
The diagram shows a
tree-like structure where we need to
group and add numbers in pairs, then keep adding the results upward until we get a final sum.
---
Step 1: Understand the structure
The top row has the numbers:
```
3 + 2 + 5 + 5 + 1 + 7 + 8 + 2 + 6
```
Lines connect numbers to boxes below, showing which numbers are added together.
Let’s follow the connections.
---
Step 2: First level (pairwise additions)
From the diagram:
-
3 + 2 → goes to first box
-
5 + 5 → goes to second box
-
1 + 7 → goes to third box
-
8 + 2 → goes to fourth box
-
6 is alone? Wait — no, look again.
Wait! The diagram shows
five boxes on the first level. But there are
nine numbers, so likely grouped as:
Let’s trace the lines:
- 3 and 2 → connected to first blank
- 5 and 5 → connected to second blank
- 1 and 7 → connected to third blank
- 8 and 2 → connected to fourth blank
- 6 → connected to fifth blank (by itself)
So the first level additions are:
1. 3 + 2 =
5
2. 5 + 5 =
10
3. 1 + 7 =
8
4. 8 + 2 =
10
5. 6 =
6
So the
first row of blanks becomes:
```
5 + 10 + 8 + 10 + 6
```
---
Step 3: Second level
Now, the next row has
four boxes, with connections:
- 5 and 10 → go to first box
- 8 → goes to second box (alone?)
- 10 and 6 → go to third box?
Wait — let's see the lines:
Looking at the diagram:
- From the first two boxes (5 and 10) → they both connect to one box below → so 5 + 10 = ?
- Then 8 connects to a box by itself?
- Then 10 and 6 connect to another box → 10 + 6 = ?
But there are only
three boxes in the second row.
Wait — actually, from the image:
It seems like:
- Box 1 (from 3+2=5) and Box 2 (from 5+5=10) → both feed into
one box → so 5 + 10 = 15
- Box 3 (1+7=8) → feeds into a separate box → just 8
- Box 4 (8+2=10) and Box 5 (6) → both feed into another box → 10 + 6 = 16
So second-level boxes:
1. 5 + 10 =
15
2. 8 =
8
3. 10 + 6 =
16
Wait — but there are
three boxes in the second row, and three connections.
But looking at the diagram again: the middle number (8) is not connected to any other — so it stays as
8.
So the second row becomes:
```
15 + 8 + 16
```
Wait — but the diagram shows
only two boxes in the second row? No, let's count:
Actually, looking carefully:
- After the first level (5 boxes), the next row has
three boxes.
- The connections:
- Leftmost: 5 and 10 → combined → 15
- Middle: 8 → stands alone → 8
- Right: 10 and 6 → combined → 16
So the second row is:
```
15 + 8 + 16
```
But now, the next level (third row) has
two boxes.
Connections:
- 15 and 8 → combine → 15 + 8 = 23
- 16 → stands alone? No — wait, the diagram shows:
From the second row:
- 15 and 8 → both go to
one box
- 16 → goes to
another box
So:
- 15 + 8 =
23
- 16 =
16
So third row:
23 + 16
Then the final box is:
- 23 + 16 =
39
---
Final Answer
Let’s fill in all the blanks:
#### First level:
- 3 + 2 =
5
- 5 + 5 =
10
- 1 + 7 =
8
- 8 + 2 =
10
- 6 =
6
→ So first row blanks:
5 + 10 + 8 + 10 + 6
#### Second level:
- 5 + 10 =
15
- 8 =
8
- 10 + 6 =
16
→ Second row:
15 + 8 + 16
#### Third level:
- 15 + 8 =
23
- 16 =
16
→ Third row:
23 + 16
#### Final answer:
- 23 + 16 =
39
---
✔ Final Answer: 39
Let’s verify total sum directly:
3 + 2 + 5 + 5 + 1 + 7 + 8 + 2 + 6
= (3+2)=5; (5+5)=10; (1+7)=8; (8+2)=10; (6)=6
Total: 5 + 10 + 8 + 10 + 6 = 39
Yes, correct.
---
Fill-in-the-blanks solution:
```
3 + 2 + 5 + 5 + 1 + 7 + 8 + 2 + 6
↓ ↓ ↓ ↓ ↓ ↓ ↓
5 10 8 10 6
\ / | \ /
15 8 16
\ | /
23 16
\ /
39
```
So the blanks are filled as:
- First row:
5, 10, 8, 10, 6
- Second row:
15, 8, 16
- Third row:
23, 16
- Final box:
39
✔ Answer: 39
Parent Tip: Review the logic above to help your child master the concept of simple math addition and subtraction worksheet.