Addition and Subtraction Workbook for Kids Ages 6-8: Math Practice Workbook Grades 1-3 / Basic Math + Worksheets with Activities, Exercises ... - Free Printable

Let’s solve this step by step.

We are given:

3 + 2 + 5 + 5 + 1 + 7 + 8 + 2 + 6

And we need to fill in the blanks following the diagram’s structure. The diagram groups numbers into pairs (or sometimes single numbers) and adds them level by level until we get one final sum at the bottom.

Looking at the top row of numbers:
There are 9 numbers:
Positions:
1st: 3
2nd: 2
3rd: 5
4th: 5
5th: 1
6th: 7
7th: 8
8th: 2
9th: 6

The diagram shows lines connecting these numbers downward to boxes. Let’s trace how they group:

From the image description (and standard such diagrams), it appears that:

- First level (top row of boxes):
Box1 = 3 + 2 → 5
Box2 = 5 (just carried down? Wait — let's look again.)

Actually, looking carefully at the connections:

Top numbers:
3 — connects to first box on left
2 — also connects to same first box → so 3+2=5
Then next number is 5 — connects to second box? But wait, there’s a “+” between boxes.

Wait — better approach: count how many boxes per level.

Level 1 (first row of boxes under the numbers): There are 6 boxes.

How do the 9 numbers map to 6 boxes?

Looking at the lines:

- 3 and 2 → go to first box → 3+2 = 5
- Then 5 → goes alone to second box? But there’s a “+” after first box, then second box... Hmm.

Actually, re-examining the structure from typical problems like this:

It seems the grouping is:

Group 1: 3 + 2 → box A
Group 2: 5 → box B (alone?)
But no — because then we have 5 + 1 → box C? That doesn’t match.

Wait — perhaps the diagram groups adjacent numbers as shown by the lines.

Let me list the top numbers with their positions:

Index: 1 2 3 4 5 6 7 8 9
Num: 3 2 5 5 1 7 8 2 6

Now, tracing the lines downward:

- Number 1 (3) and Number 2 (2) → connect to Box 1 → 3+2 = 5
- Number 3 (5) → connects to Box 2 → just 5? But then there’s a “+” between Box1 and Box2 — meaning we add them later? No, the “+” signs are between the boxes in each row.

Actually, the diagram has:

Row 1 (under the numbers): 6 boxes
Row 2: 4 boxes
Row 3: 2 boxes
Row 4: 1 box (final answer)

So total additions reduce 9 numbers → 6 → 4 → 2 → 1

That means:

Step 1: Combine some adjacent numbers to make 6 values.

Looking at the lines:

- 3 and 2 → combined → value = 5
- 5 → standalone? But then 5 and 1 → combined? Wait.

Perhaps:

From left to right:

First pair: 3 + 2 = 5 → Box1
Then: 5 → Box2 (no partner? but line from only 5?)
Wait — actually, looking again:

In the diagram, the lines show:

- 3 → down to first box
- 2 → down to first box → so 3+2=5 for first box
- 5 → down to second box
- 5 → down to third box? No — wait, there’s a line from 5 (third number) and 1 (fifth number)? That skips 4th?

This is confusing without seeing exact lines, but based on common patterns and the fact that there are 9 numbers going to 6 boxes, likely:

Some numbers are added in pairs, some stand alone.

Total numbers: 9
Boxes in first row: 6 → so 3 pairs were made (using 6 numbers), and 3 numbers stood alone? 6 + 3 = 9 — yes.

Which ones are paired?

Typically, it’s consecutive unless specified.

Assume:

Pair 1: 3 + 2 = 5 → Box1
Single: 5 → Box2
Pair 2: 5 + 1 = 6 → Box3
Single: 7 → Box4
Pair 3: 8 + 2 = 10 → Box5
Single: 6 → Box6

Check: used all 9 numbers:
(3,2), 5, (5,1), 7, (8,2), 6 → yes.

So Row 1 boxes:
Box1: 5
Box2: 5
Box3: 6
Box4: 7
Box5: 10
Box6: 6

Now Row 2: 4 boxes. How are they grouped?

Lines from Row 1 to Row 2:

Typically:

Box1 and Box2 → combine to Row2 Box1
Box3 → maybe alone? Or with Box4?

Looking at standard reduction:

From 6 boxes to 4 boxes → so 2 pairs formed, and 2 singles? Or 2 pairs and 2 unchanged? Unlikely.

More likely:

Box1 + Box2 → Row2 Box1
Box3 + Box4 → Row2 Box2
Box5 → Row2 Box3
Box6 → Row2 Box4

But that would be 4 boxes: two sums and two singles.

Yes.

So:

Row2 Box1: 5 + 5 = 10
Row2 Box2: 6 + 7 = 13
Row2 Box3: 10 (from Box5)
Row2 Box4: 6 (from Box6)

Now Row 3: 2 boxes.

From 4 boxes to 2 → likely:

Row2 Box1 + Row2 Box2 → Row3 Box1
Row2 Box3 + Row2 Box4 → Row3 Box2

So:

Row3 Box1: 10 + 13 = 23
Row3 Box2: 10 + 6 = 16

Finally, Row 4: 1 box → Row3 Box1 + Row3 Box2 = 23 + 16 = 39

Now, let’s verify by adding all original numbers directly:

3 + 2 = 5
5 + 5 = 10
10 + 1 = 11
11 + 7 = 18
18 + 8 = 26
26 + 2 = 28
28 + 6 = 34 → Wait, that’s not 39! I missed one.

Original: 3,2,5,5,1,7,8,2,6 → that’s 9 numbers.

Add step by step:

Start: 0
+3 = 3
+2 = 5
+5 = 10
+5 = 15
+1 = 16
+7 = 23
+8 = 31
+2 = 33
+6 = 39 → Yes! Total is 39.

My direct addition gives 39, and my tree method also gave 39. Good.

But in my tree, I had:

Row1: 5, 5, 6, 7, 10, 6 → sum = 5+5=10; +6=16; +7=23; +10=33; +6=39 → correct.

Row2: 10, 13, 10, 6 → sum=10+13=23; +10=33; +6=39

Row3: 23, 16 → sum=39

Final: 39

Perfect.

Now, to fill in the blanks as per the diagram:

First row of boxes (6 boxes):

Left to right:

Box1: 3+2 = 5
Box2: 5 (the third number)
Box3: 5+1 = 6 (fourth and fifth numbers)
Box4: 7 (sixth number)
Box5: 8+2 = 10 (seventh and eighth)
Box6: 6 (ninth number)

Second row (4 boxes):

Box1: Box1 + Box2 = 5 + 5 = 10
Box2: Box3 + Box4 = 6 + 7 = 13
Box3: Box5 = 10
Box4: Box6 = 6

Third row (2 boxes):

Box1: Box1 + Box2 = 10 + 13 = 23
Box2: Box3 + Box4 = 10 + 6 = 16

Fourth row (1 box):

Box1: 23 + 16 = 39

So the filled blanks are:

First row: 5, 5, 6, 7, 10, 6
Second row: 10, 13, 10, 6
Third row: 23, 16
Fourth row: 39

Since the question says "Fill in the blanks", and the diagram has multiple blank squares, we should provide all the values in order from top to bottom, left to right.

But typically in such worksheets, they expect the final answer or all steps. Since it says "fill in the blanks", probably all intermediate boxes too.

However, the user might just want the final sum? But the instruction is to fill all blanks.

Given that, and since the problem is structured as a pyramid, I’ll list all the values in the order they appear in the diagram levels.

But to be precise, let’s write them level by level.

Level 1 (6 boxes): [5, 5, 6, 7, 10, 6]
Level 2 (4 boxes): [10, 13, 10, 6]
Level 3 (2 boxes): [23, 16]
Level 4 (1 box): [39]

If the worksheet expects the answers written in the boxes, then these are the numbers.

But since the final output should be the answer, and often such problems ask for the final sum, but here it says "fill in the blanks", so perhaps all.

However, looking back at the user’s request: “Solve the problem accurately.” and “provide only the final correct answer” in Final Answer section.

But the problem is to fill multiple blanks. This is ambiguous.

Re-reading the initial instruction: “Fill in the blanks :” followed by the expression and the diagram.

In many such worksheets, even though there are multiple blanks, the ultimate goal is the final sum, and sometimes they accept that.

But to be safe, since the diagram leads to one final box at the bottom, and that’s the total sum, and the problem is titled “Addition Fill in the blanks”, likely they want all intermediate steps filled, but for the purpose of this response, since the Final Answer section is for the final result, and the calculation confirms 39, I think 39 is the key answer.

Moreover, in the context of homework help, if a student is stuck, they might need the final answer to check.

But let me see the options: ExplainAnswer is false, TeachTopic false, GeneratePractice false — so only Final Answer is required.

And the rule says: “Provide only the final correct answer — this should come AFTER all explanations and reasoning.”

So even though there are multiple blanks, the “final answer” likely refers to the very bottom box, which is the total sum.

To confirm: when you add all numbers: 3+2+5+5+1+7+8+2+6 = let's calculate once more:

3+2=5
5+5=10
10+5=15? No, the numbers are: positionally: num1=3, num2=2, num3=5, num4=5, num5=1, num6=7, num7=8, num8=2, num9=6

So: 3+2=5
5 (num3) =5 → total so far 10
+5 (num4)=15
+1=16
+7=23
+8=31
+2=33
+6=39

Yes.

Grouped as per diagram: as above, ends with 39.

So the final answer is 39.

Final Answer:
39