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Subtraction - Enchanted Learning - Free Printable

Subtraction - Enchanted Learning

Educational worksheet: Subtraction - Enchanted Learning. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Subtraction - Enchanted Learning
Let’s solve this step by step. We have two separate grids — one starting with 10, and one starting with 9. Each grid has arrows showing operations (like -4, -3, etc.) that we need to follow from box to box.

---

First Grid (starting with 10):

Top row:
- Start at 10
- Arrow says “-4” → 10 - 4 = 6
- Next arrow says “-3” → 6 - 3 = 3

Middle column (going down from top-left):
- From 10, arrow down says “-1” → 10 - 1 = 9
- Then from that 9, arrow right says “-5” → 9 - 5 = 4
- Then from 4, arrow right says “-2” → 4 - 2 = 2

Wait — let’s check the structure again. Actually, looking at the layout:

It’s a 3x3 grid of boxes, with arrows between them.

Let me label positions for clarity:

Row 1: [A] → [B] → [C]
↓ ↓ ↓
Row 2: [D] → [E] → [F]
↓ ↓ ↓
Row 3: [G] → [H] → [I]

But in the image, it's shown as:

Top row: 10 → (-4) → ? → (-3) → ?
Then below each of those, downward arrows: -1, -2, -1
Then middle row: ? ← (-5) ← ? ← (-2) ← ?
Then bottom row starts with 9 → (-3) → ? → (-4) → ?
And downward arrows from there: -2, -1, -1
Then last row: ? ← (-2) ← ? ← (-4) ← ?

Actually, let’s trace paths carefully.

Looking at the first part:

Start at top-left: 10

→ Right: -4 → so next box is 10 - 4 = 6

→ Right again: -3 → 6 - 3 = 3

Now, from the 10, go down: -1 → 10 - 1 = 9 (this goes to the box directly below 10)

From the 6 (middle top), go down: -2 → 6 - 2 = 4 (box below 6)

From the 3 (top-right), go down: -1 → 3 - 1 = 2 (box below 3)

Now, middle row:

Left box (below 10): we have 9

→ Right: -5 → 9 - 5 = 4 (middle box of middle row)

→ Right: -2 → 4 - 2 = 2 (right box of middle row)

That matches what we got from above (from 6 down to 4, then 4 right to 2? Wait no — actually, the middle row left-to-right should be consistent.

Wait — perhaps the middle row is filled from left to right using the values from above?

Actually, let’s list all boxes in order.

Define the grid as 3 rows × 3 columns.

Row 1: Box1=10, Box2=?, Box3=?

Arrows: Box1 → Box2: -4 → Box2 = 10 - 4 = 6

Box2 → Box3: -3 → Box3 = 6 - 3 = 3

Now vertical arrows from Row1 to Row2:

Box1 ↓ Box4: -1 → Box4 = 10 - 1 = 9

Box2 ↓ Box5: -2 → Box5 = 6 - 2 = 4

Box3 ↓ Box6: -1 → Box6 = 3 - 1 = 2

Now Row2: Box4=9, Box5=4, Box6=2

Horizontal arrows in Row2:

Box4 → Box5: -5? But 9 - 5 = 4 → yes, matches Box5=4

Box5 → Box6: -2 → 4 - 2 = 2 → matches Box6=2

Good.

Now Row3 starts with 9 (given in bottom-left corner).

So Box7 = 9

Arrow right: -3 → Box8 = 9 - 3 = 6

Arrow right: -4 → Box9 = 6 - 4 = 2

Now vertical arrows from Row2 to Row3:

Box4 ↓ Box7: -2 → Box4 was 9, 9 - 2 = 7? But Box7 is given as 9. Contradiction?

Wait — look back at the image description.

In the user’s image, the bottom-left box is labeled “9”, which is the start of the second grid? Or is it connected?

Actually, re-examining the original problem layout:

There are two separate puzzles.

First puzzle (top half):

Starts with 10 in top-left.

Then arrows: right -4, right -3

Down from 10: -1

Down from middle-top: -2

Down from top-right: -1

Then middle row: left box gets value from above minus 1, then right -5, then right -2

Then bottom row of first puzzle? No — actually, after the middle row, there’s another set starting with 9 in the bottom-left.

Perhaps it’s two independent 3x3 grids? But they share some structure.

Wait — looking at the text representation:

The user wrote:

```
10 → -4 → □ → -3 → □
↓-1 ↓-2 ↓-1
□ → -5 → □ → -2 → □

9 → -3 → □ → -4 → □
↓-2 ↓-1 ↓-1
□ → -2 → □ → -4 → □
```

Ah! So it’s two separate 3-row structures.

First structure (above the line):

Row A: 10 → -4 → A2 → -3 → A3

With downward arrows: from 10 down -1 to B1, from A2 down -2 to B2, from A3 down -1 to B3

Then Row B: B1 → -5 → B2 → -2 → B3

Second structure (below):

Row C: 9 → -3 → C2 → -4 → C3

Downward: from 9 down -2 to D1, from C2 down -1 to D2, from C3 down -1 to D3

Row D: D1 → -2 → D2 → -4 → D3

Perfect. Now let’s compute each.

---

First Structure:

Start: Row A, Col1 = 10

A2 = 10 - 4 = 6

A3 = 6 - 3 = 3

Now downward:

B1 = 10 - 1 = 9

B2 = 6 - 2 = 4

B3 = 3 - 1 = 2

Now check horizontal in Row B:

B1 → B2: should be -5 → 9 - 5 = 4 → matches B2=4

B2 → B3: -2 → 4 - 2 = 2 → matches B3=2

Good.

So first structure filled:

Row A: 10, 6, 3

Row B: 9, 4, 2

---

Second Structure:

Start: Row C, Col1 = 9

C2 = 9 - 3 = 6

C3 = 6 - 4 = 2

Downward:

D1 = 9 - 2 = 7

D2 = 6 - 1 = 5

D3 = 2 - 1 = 1

Now check horizontal in Row D:

D1 → D2: -2 → 7 - 2 = 5 → matches D2=5

D2 → D3: -4 → 5 - 4 = 1 → matches D3=1

Perfect.

So second structure:

Row C: 9, 6, 2

Row D: 7, 5, 1

---

Now, to present the answer, we need to fill in all the empty boxes.

From first structure:

After 10: first box is 6, then 3

Below 10: 9

Below 6: 4

Below 3: 2

Then in middle row: after 9: 4, then 2

But since the question is to fill the blanks, and the blanks are in the positions:

For first part:

Top row blanks: after -4 and after -3 → 6 and 3

Middle row blanks: all three, but left one is from down arrow, so 9, then 4, then 2

Similarly for second part.

But in the response, we just need to provide the final numbers in order as per the flow.

Since the user will see the diagram, we can list the missing values in the order they appear.

Looking at the original layout:

First sequence:

10 → [blank1] → [blank2]

With down arrows to [blank3], [blank4], [blank5]

Then [blank3] → [blank6] → [blank7]

Similarly for the second part starting with 9.

But to avoid confusion, let's list all blank values in the order they are encountered when reading left to right, top to bottom.

First grid blanks:

Position after first -4: 6

Position after -3: 3

Position below 10: 9

Position below first blank (6): 4

Position below second blank (3): 2

Then in middle row, after -5: 4 (but this is same as above)

Actually, the middle row left box is filled by the down arrow, so it's 9, then moving right: -5 gives 4, then -2 gives 2.

So the blanks in the first grid are:

- Top middle: 6

- Top right: 3

- Middle left: 9

- Middle middle: 4

- Middle right: 2

But middle left is also obtained from down arrow, so it's consistent.

Similarly, second grid:

Bottom left is given as 9

Then after -3: 6

After -4: 2

Below 9: 7

Below 6: 5

Below 2: 1

Then in bottom row: after -2: 5, after -4: 1

So blanks:

- Bottom middle: 6

- Bottom right: 2

- Very bottom left: 7

- Very bottom middle: 5

- Very bottom right: 1

Now, to write the final answer, since the problem is to fill the boxes, and there are 10 blanks total (5 in first grid, 5 in second), we can list them in order.

But perhaps better to present as completed grids.

Since the instruction is to provide the final answer, and it's a fill-in-the-blank, I'll list the values for each blank in the order they appear in the diagram.

Assuming the diagram is read as:

First row of first grid: 10, _, _

Second row of first grid: _, _, _

First row of second grid: 9, _, _

Second row of second grid: _, _, _

So blanks:

Grid1 Row1 Col2: 6

Grid1 Row1 Col3: 3

Grid1 Row2 Col1: 9

Grid1 Row2 Col2: 4

Grid1 Row2 Col3: 2

Grid2 Row1 Col2: 6

Grid2 Row1 Col3: 2

Grid2 Row2 Col1: 7

Grid2 Row2 Col2: 5

Grid2 Row2 Col3: 1

So the sequence of answers is: 6, 3, 9, 4, 2, 6, 2, 7, 5, 1

But let's confirm with the operations.

In the second grid, Row1: 9 → -3 → 6 → -4 → 2, correct.

Down: 9-2=7, 6-1=5, 2-1=1

Then Row2: 7 → -2 → 5 → -4 → 1, correct.

All good.

Final Answer: The missing numbers are 6, 3, 9, 4, 2 for the first grid, and 6, 2, 7, 5, 1 for the second grid.

To box the answer, since it's multiple values, perhaps list them in order.

Given the format, I'll provide the values as they fill the blanks sequentially.

Final Answer: 6, 3, 9, 4, 2, 6, 2, 7, 5, 1
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet puzzles.
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