True Facts math worksheet with gumball machine theme for practicing multiplication.
Educational worksheet: Multiplication Practice Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Practice Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Practice Worksheets
To solve this problem, we need to find the multiplication facts inside the gumball machine that are correct (true). Then, we will list them in order from top to bottom as they appear in the machine.
Step 1: Check each gumball to see if the math is correct.
Let's look at the gumballs row by row, from left to right, top to bottom.
Top Row:
1. $6 \times 8 = 42$? No. ($6 \times 7 = 42$, so this is false.)
2. $8 \times 4 =$ [blank]? This isn't a complete fact to check for truth because the answer is missing. However, looking at the pattern, most bubbles have answers. Let's look closer. Actually, looking at the image, some bubbles have answers and some don't. The instruction says "Color the gumballs with true multiplication facts." Usually, this means checking if the equation provided is correct. If there is no answer provided, it's likely not one of the "facts" to check, or it's incomplete. Let's re-examine.
* Wait, let's look at all bubbles carefully.
* Bubble 1: $6 \times 8 = 42$ (False)
* Bubble 2: $8 \times 4 =$ (Incomplete/No answer shown to verify. Let's skip for now and see if others are clear true/false statements.) *Correction*: Looking closely at crop 2 and 5, bubble 2 is just "$8 \times 4$". It doesn't have an equals sign or answer. Bubble 3 is "$8 \times 6 = 42$" (False, $8 \times 6 = 48$). Bubble 4 is "$9 \times 3 = 33$" (False, $9 \times 3 = 27$).
* Let's re-read the first column.
* $6 \times 8 = 42$ (False)
* $8 \times 4 = 44$ (Wait, looking at crop 5, the second bubble in the second row is $8 \times 4 = 44$? No, let's look at the full image structure.)
Let's go systematically through every visible bubble with an equation and answer.
Row 1 (Top):
* $6 \times 8 = 42$: False ($6 \times 8 = 48$)
* $8 \times 4$: No answer given. Is it a distractor? Or did I miss the answer? Let's assume only bubbles with full equations $A \times B = C$ are candidates.
* $8 \times 6 = 42$: False ($8 \times 6 = 48$)
* $9 \times 3 = 33$: False ($9 \times 3 = 27$)
Row 2:
* $8 \times 4 = 44$: False ($8 \times 4 = 32$)
* $8 \times 2 = 42$: False ($8 \times 2 = 16$)
* $8 \times 8 = 88$: False ($8 \times 8 = 64$)
* $9 \times 0 = 10$: False ($9 \times 0 = 0$)
* $8 \times 6 = 48$: True ($8 \times 6$ is indeed $48$)
Row 3:
* $8 \times 4 = 42$: False ($8 \times 4 = 32$)
* $5 \times 5 = 55$: False ($5 \times 5 = 25$)
* $9 \times 4 = 42$: False ($9 \times 4 = 36$)
* $9 \times 0 = 0$: True ($9 \times 0$ is indeed $0$)
* $8 \times 6 = 66$: False ($8 \times 6 = 48$)
Row 4:
* $8 \times 7 = 57$: False ($8 \times 7 = 56$)
* $5 \times 5 = 50$: False ($5 \times 5 = 25$)
* $8 \times 2 = 22$: False ($8 \times 2 = 16$)
* $8 \times 0 = 4$: False ($8 \times 0 = 0$)
Row 5 (Bottom):
* $8 \times 4 = 49$: False ($8 \times 4 = 32$)
* $8 \times 7 = 47$: False ($8 \times 7 = 56$)
Let's double check my reading of the numbers. Sometimes handwriting or fonts can be tricky.
Let's re-evaluate Row 2, Bubble 5: $8 \times 6 = 48$. Yes, that is True.
Let's re-evaluate Row 3, Bubble 4: $9 \times 0 = 0$. Yes, that is True.
Are there any others?
Let's look at the very top right again. $9 \times 3 = 33$. False.
Let's look at the one below $6 \times 8 = 42$. It is $8 \times 4 = 44$. False.
Let's look at the one below $8 \times 6 = 42$. It is $8 \times 8 = 88$. False.
Let's look at the one below $9 \times 3 = 33$. It is $9 \times 0 = 10$. False. And below that is $8 \times 6 = 48$ (True) and $8 \times 6 = 66$ (False).
Wait, I might have missed a bubble or misread a number. Let me look really closely at the "True" ones I found.
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Are there any more?
Let's check $5 \times 5 = 55$. False.
Let's check $8 \times 7 = 57$. False (close, but $56$).
Let's check $8 \times 7 = 47$. False.
Let's check $8 \times 4 = 49$. False.
Let's re-read the first column, second bubble: $8 \times 4 = 44$. False.
Third bubble: $8 \times 4 = 42$. False.
Fourth bubble: $8 \times 7 = 57$. False.
Fifth bubble: $8 \times 4 = 49$. False.
Second column:
1. $8 \times 4$ (no answer).
2. $8 \times 2 = 42$. False.
3. $5 \times 5 = 55$. False.
4. $5 \times 5 = 50$. False.
5. $8 \times 4 = 49$? No, the last one in col 2 is $8 \times 7 = 47$? Wait, let's trace columns properly.
Let's list them by visual position roughly left-to-right, top-to-bottom.
1. Top Left: $6 \times 8 = 42$ (False)
2. Next to it: $8 \times 4$ (Incomplete) -> Skip.
3. Next: $8 \times 6 = 42$ (False)
4. Far Right Top: $9 \times 3 = 33$ (False)
5. Second Row Left: $8 \times 4 = 44$ (False)
6. Second Row Mid-Left: $8 \times 2 = 42$ (False)
7. Second Row Mid: $8 \times 8 = 88$ (False)
8. Second Row Mid-Right: $9 \times 0 = 10$ (False)
9. Second Row Far Right: $8 \times 6 = 48$ (True)
10. Third Row Left: $8 \times 4 = 42$ (False)
11. Third Row Mid-Left: $5 \times 5 = 55$ (False)
12. Third Row Mid: $9 \times 4 = 42$ (False)
13. Third Row Mid-Right: $9 \times 0 = 0$ (True)
14. Third Row Far Right: $8 \times 6 = 66$ (False)
15. Fourth Row Left: $8 \times 7 = 57$ (False)
16. Fourth Row Mid-Left: $5 \times 5 = 50$ (False)
17. Fourth Row Mid: $8 \times 2 = 22$ (False)
18. Fourth Row Mid-Right: $8 \times 0 = 4$ (False) -- Wait, looking at crop 6, the bubble above the bottom right one says $8 \times 0 = 4$? Or is it $8 \times something$? It looks like $8 \times 0 = 4$. That is False.
19. Bottom Row Left: $8 \times 4 = 49$? No, looking at crop 5, bottom left is $8 \times 4 = 49$? Actually, looking at the main image, the bottom left bubble is $8 \times 4 = 49$? No, it looks like $8 \times 4 = 49$ is wrong. Let me look at the text again. Ah, the bottom left bubble says $8 \times 4 = 49$? No, wait.
Let's look at the bottom-most bubbles.
Leftmost bottom: $8 \times 4 = 49$? No, it says $8 \times 4 = 49$ is unlikely. Let me zoom in on the original image.
Bottom-left bubble: $8 \times 4 = 49$? No, it looks like $8 \times 4 = 49$ is not right. Let's look at the numbers. $8 \times 4 = 32$. The bubble says $49$. So False.
Next to it: $8 \times 7 = 47$. $8 \times 7 = 56$. So False.
So, I have found only two true facts:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
The worksheet has 12 slots on the right side. This implies there might be 12 true facts. Did I miss something fundamental?
"Color the gumballs with true multiplication facts."
Maybe I am misreading the numbers. Let me re-read EVERY single bubble very carefully.
Re-evaluating based on potential misreads:
* $6 \times 8 = 42$ -> False.
* $8 \times 4$ -> Incomplete.
* $8 \times 6 = 42$ -> False.
* $9 \times 3 = 33$ -> False.
* $8 \times 4 = 44$ -> False.
* $8 \times 2 = 42$ -> False.
* $8 \times 8 = 88$ -> False.
* $9 \times 0 = 10$ -> False.
* $8 \times 6 = 48$ -> True.
* $8 \times 4 = 42$ -> False.
* $5 \times 5 = 55$ -> False.
* $9 \times 4 = 42$ -> False.
* $9 \times 0 = 0$ -> True.
* $8 \times 6 = 66$ -> False.
* $8 \times 7 = 57$ -> False.
* $5 \times 5 = 50$ -> False.
* $8 \times 2 = 22$ -> False.
* $8 \times 0 = 4$ -> False. (Actually, looking at crop 6, the bubble is $8 \times 0 = 0$? No, it looks like a 4. But even if it were 0, let's check the position. It's in the 4th row, far right. The bubble above it is $8 \times 6 = 66$. The bubble to its left is $8 \times 2 = 22$. The bubble is $8 \times 0 = 4$? Or is it $8 \times ? = ?$. Let's assume it's false for now.)
* Bottom row:
* $8 \times 4 = 49$? -> False.
* $8 \times 7 = 47$? -> False.
There are only 2 true facts visible with standard interpretation. Why are there 12 boxes?
Perhaps the "incomplete" bubble $8 \times 4$ is meant to be solved? No, the instruction is "Color the gumballs with true multiplication facts". An incomplete fact cannot be judged as true or false unless you fill it in. But usually, these worksheets provide the whole equation.
Let's look at the bubbles again. Maybe I'm misidentifying the numbers.
Is $6 \times 8 = 42$ actually $6 \times 7 = 42$? No, it clearly says 8.
Is $8 \times 6 = 42$ actually $7 \times 6 = 42$? No, it says 8.
Is $9 \times 3 = 33$ actually $11 \times 3 = 33$? No, it says 9.
Is it possible that the question asks to solve the incomplete ones and write them down?
"Color the gumballs with true multiplication facts. Then write the facts in order."
If a gumball has $8 \times 4$, it's not a "true fact" yet, it's an expression.
However, look at the right side. There are pre-filled boxes:
Box 2: `[ ] x [ 2 ]`
Box 12: `11 x [ 2 ]`? No, it looks like `11 x 12`? Or `[ ] x [ 2 ]`?
Let's look at the pre-filled hints on the right.
- The second box has a `2` in the second slot: `_ x 2`.
- The last box has `11` and `12`? Or `_ x 2`? It looks like `11 x 12` is written in the last box? No, looking at crop 3, the last box shows `11` in the first slot and `12` in the second? Or is it `1` and `2`? It looks like `11` and `12`. That would be $11 \times 12 = 132$. That's a big number for this level.
- Wait, look at the second box again. It is `_ x 2`.
- Look at the last box. It is `11 x _`? Or `11 x 12`?
Let's reconsider the bubbles. Are there bubbles I missed?
Maybe the bubbles are:
1. $6 \times 8 = 48$? If the text is blurry and 42 is actually 48... No, it looks like 42.
2. $8 \times 4 = 32$? If 44 is actually 32... No, looks like 44.
Let's look at the "True Facts" title.
Usually, in these problems, if there are many empty boxes, there are many true facts.
Did I miss any bubbles?
Let's count the bubbles.
Row 1: 4 bubbles.
Row 2: 5 bubbles.
Row 3: 5 bubbles.
Row 4: 4 bubbles.
Row 5: 2 bubbles.
Total: 20 bubbles.
Let's re-read the values assuming standard multiplication table errors (distractors).
Distractors are usually off by a little bit or common mistakes.
$6 \times 8 = 48$ (written 42) -> False.
$8 \times 6 = 48$ (written 42) -> False.
$9 \times 3 = 27$ (written 33) -> False.
$8 \times 4 = 32$ (written 44) -> False.
$8 \times 2 = 16$ (written 42?? That's a weird error. Maybe it's $6 \times 7 = 42$? No, says $8 \times 2$).
$8 \times 8 = 64$ (written 88) -> False.
$9 \times 0 = 0$ (written 10) -> False.
$8 \times 6 = 48$ -> True.
$8 \times 4 = 32$ (written 42) -> False.
$5 \times 5 = 25$ (written 55) -> False.
$9 \times 4 = 36$ (written 42) -> False.
$9 \times 0 = 0$ -> True.
$8 \times 6 = 48$ (written 66) -> False.
$8 \times 7 = 56$ (written 57) -> False.
$5 \times 5 = 25$ (written 50) -> False.
$8 \times 2 = 16$ (written 22) -> False.
$8 \times 0 = 0$ (written 4) -> False.
$8 \times 4 = 32$ (written 49??) -> False.
$8 \times 7 = 56$ (written 47) -> False.
Okay, there are definitely only 2 true facts among the completed equations.
What about the incomplete one: $8 \times 4$?
If we calculate it, $8 \times 4 = 32$. Is "8 x 4" considered a "true fact"? No, it's an expression.
But wait! Look at the right-hand side boxes again.
Box 2: `_ x 2`.
Box 12: `11 x _`?
Is it possible that the bubbles contain variables or I am misreading the text entirely?
No, they look like standard arithmetic.
Let's look at the pre-filled boxes on the right again.
The second box has a `2`.
The last box has `11` and `12`?
If the last box is $11 \times 12$, that fact is not in the gumball machine.
This suggests that maybe the task is NOT just to copy the true facts from the machine, but the machine provides a pool, and we select the true ones. But if there are only 2, why 12 boxes?
Alternative Theory: I am misreading the numbers due to image quality/font.
Let's look at $6 \times 8 = 42$. Could it be $6 \times 7 = 42$? The '8' looks round. A '7' would be angular. It looks like an 8.
Let's look at $8 \times 6 = 42$. Could it be $7 \times 6 = 42$? The first digit is round. Looks like 8.
Let's look at $9 \times 3 = 33$. Could it be $11 \times 3 = 33$? The '9' has a tail. An '11' would be two lines. It looks like a 9.
Let's look at the bubbles that resulted in "False" again. Maybe they are actually True and I'm blind?
$8 \times 8 = 88$. No.
$5 \times 5 = 55$. No.
Is there a pattern?
Maybe the question is "Color the gumballs... then write the facts".
If there are only 2 true facts, the student would only fill 2 boxes. The other 10 would remain blank. This is possible. Worksheets often have extra space or generic templates.
However, let's look at the pre-filled numbers in the answer key area (the boxes on the right).
Box 2: The second number is `2`.
Box 12: The first number is `11` and the second is `12`? Or is it `1` and `2`?
If Box 12 is $1 \times 2 = 2$, that's a simple fact.
If Box 2 is $_ \times 2$, maybe the answer is $1 \times 2$?
Let's look for a bubble with $\times 2$.
Bubbles with $\times 2$:
- $8 \times 2 = 42$ (False)
- $8 \times 2 = 22$ (False)
- $11 \times 2$? Is there an 11?
Look at the top right bubble: $9 \times 3 = 33$.
Look at the bottom right area.
Is there a bubble $11 \times 2 = 22$?
In Row 4, 3rd bubble: $8 \times 2 = 22$. If the '8' was an '11', it would be true. But it looks like an 8.
Let's look at the bubble $8 \times 4$ (incomplete).
If we assume the incomplete bubble is a "True Fact" waiting to be written, what is it? $8 \times 4 = 32$.
Does $8 \times 4 = 32$ fit anywhere?
Let's step back. What if the user wants me to identify the TRUE facts from the image provided?
Based on strict mathematical verification:
1. $8 \times 6 = 48$ is True.
2. $9 \times 0 = 0$ is True.
Are there any others?
Let's check $6 \times 8 = 42$ again. If it were $6 \times 7 = 42$, it would be true. But it says 8.
Let's check $8 \times 6 = 42$ again. If it were $7 \times 6 = 42$, it would be true. But it says 8.
Let's check the bubble $8 \times 0 = 4$ again. If it were $8 \times 0 = 0$, it would be true. It says 4.
Let's check the bubble $5 \times 5 = 55$. False.
Let's check $5 \times 5 = 50$. False.
It seems highly likely that there are only two true facts explicitly written correctly in the diagram. The rest are common misconceptions (e.g., adding instead of multiplying, or off-by-one errors).
However, looking at the answer boxes on the right:
The second box has a printed `2`.
The last box has printed `11` and `12`?
Wait, look at the last box in Crop 3. It says `11` `x` `12`.
$11 \times 12 = 132$.
Is there a bubble for $11 \times 12$? No.
This suggests the pre-printed numbers in the boxes might be part of a different version of the worksheet or I am misinterpreting the "pre-filled" nature.
Actually, looking closely at Crop 3, the boxes are:
`[ ] x [ ] =`
`[ ] x [ 2 ] =`
...
`[ 11 ] x [ 12 ] =` ??
No, the last box looks like `[ 11 ] x [ 2 ] =`? Or `[ 1 ] x [ 2 ] =`?
The `11` looks distinct.
Let's ignore the pre-filled boxes for a moment and focus on the instruction: "Color the gumballs with true multiplication facts. Then write the facts in order."
If I strictly follow the math:
The true facts are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Order: The instruction says "write the facts in order". This usually means top-to-bottom, left-to-right as they appear in the source.
1. $8 \times 6 = 48$ appears in Row 2, far right.
2. $9 \times 0 = 0$ appears in Row 3, mid-right.
So the order is:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Let's double check if I missed any "True" facts.
What about $1 \times$ anything?
Are there any $1$s?
No obvious $1$s.
What about $10 \times$?
No.
What about the incomplete bubble $8 \times 4$?
If the student is expected to complete it, it becomes $8 \times 4 = 32$. Is that a "true fact"? Yes. But is it presented as a true fact to color? It's missing the result. Usually, you can't verify truth without the result. However, in some contexts, "8 x 4" is a fact family member. But compared to the others which have explicit (wrong) answers, this one stands out. If we include it, we have 3 facts.
Let's look at the pre-filled box 2: `_ x 2`.
Do we have a true fact ending in 2?
$8 \times 6 = 48$ (ends in 8)
$9 \times 0 = 0$ (ends in 0)
$8 \times 4 = 32$ (ends in 2).
If $8 \times 4 = 32$ is considered a true fact (by solving the incomplete one), then it fits the `_ x 2` hint? No, $8 \times 4$ has a 4, not a 2. The hint is `_ x 2`, meaning the second factor is 2.
Do we have a true fact with second factor 2?
We checked $8 \times 2 = 16$ (written as 42 and 22). Both false.
Is there an $11 \times 2 = 22$?
Look at Row 4, 3rd bubble: $8 \times 2 = 22$. If the '8' is actually an '11'... visually it's an 8. But $11 \times 2 = 22$ is a true fact. And the answer written is 22.
If that bubble is actually $11 \times 2 = 22$, then it is True.
Let's look at the shape of the '8' in $8 \times 2 = 22$. Compare it to the '8' in $8 \times 6 = 48$. They look identical. So it is an 8. Thus $8 \times 2 = 22$ is False.
However, look at the last box hint: `11 x ...`.
This strongly implies there is an 11 involved.
Where could an 11 be?
Maybe the bubble $9 \times 3 = 33$ is actually $11 \times 3 = 33$?
Visually, the first digit is a loop with a tail. That's a 9. An 11 is two straight lines.
Maybe the bubble $6 \times 8 = 42$ is actually something else?
Let's reconsider the "True Facts" logic.
Often, these worksheets have exactly enough true facts to fill the boxes. There are 12 boxes.
I found 2 definite truths.
I found 1 incomplete ($8 \times 4$).
I found several "almost" truths where the answer matches a different multiplier.
- $6 \times 7 = 42$ (Bubble says $6 \times 8 = 42$)
- $7 \times 6 = 42$ (Bubble says $8 \times 6 = 42$)
- $11 \times 3 = 33$ (Bubble says $9 \times 3 = 33$)
- $11 \times 4 = 44$ (Bubble says $8 \times 4 = 44$)
- $11 \times 8 = 88$ (Bubble says $8 \times 8 = 88$)
- $11 \times 2 = 22$ (Bubble says $8 \times 2 = 22$)
- $11 \times 5 = 55$ (Bubble says $5 \times 5 = 55$)
- $11 \times 0 = 0$? (Bubble says $9 \times 0 = 10$ - no)
- $11 \times 6 = 66$ (Bubble says $8 \times 6 = 66$)
- $11 \times 7 = 77$? (Bubble says $8 \times 7 = 57$ - no)
- $11 \times 9 = 99$?
- $11 \times 12 = 132$?
Hypothesis: The font for '8' is actually '11'? No, that's absurd.
Hypothesis: The font for '8' is '8', but the student is supposed to identify that the Answer is correct for a different problem? No, that's overthinking.
Let's look at the bubbles again.
$8 \times 6 = 48$ -> True.
$9 \times 0 = 0$ -> True.
Is it possible that $8 \times 0 = 4$ is actually $8 \times 0 = 0$ and I'm misreading the 4?
In Crop 6, the bubble above the bottom right one. $8 \times 0 = 4$. The '4' is quite clear.
Is it possible that $8 \times 7 = 57$ is actually $8 \times 7 = 56$ and I'm misreading the 7?
In Crop 5, bottom left of the main cluster. $8 \times 7 = 57$. The '7' is clear.
Is it possible that $5 \times 5 = 55$ is considered true in some alternate universe? No.
Okay, let's look at the pre-filled boxes again.
Box 2: `_ x 2`.
Box 12: `11 x 12`?
If the last box is $11 \times 12$, where is that fact? It's not in the machine.
Conclusion: The prompt asks me to "Solve the problem accurately."
The problem is: "Color the gumballs with true multiplication facts. Then write the facts in order."
Based on the visual evidence, only two facts are mathematically true as written.
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
The pre-filled boxes on the right might be red herrings, or from a different edition, or I am failing to see 10 other true facts due to severe misinterpretation of the digits.
Let's try one more interpretation: The digits are not what they seem.
Could the '8's be '3's?
$3 \times 8 = 24$.
$3 \times 6 = 18$.
No.
Could the '8's be '5's?
$5 \times 6 = 30$.
No.
Let's assume the standard interpretation: Only the mathematically correct equations are "True Facts".
The true facts are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Final Answer Formulation:
I will list the true facts found.
Final Answer:
The true multiplication facts in the gumball machine are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
(Written in order from top to bottom, left to right)
Step 1: Check each gumball to see if the math is correct.
Let's look at the gumballs row by row, from left to right, top to bottom.
Top Row:
1. $6 \times 8 = 42$? No. ($6 \times 7 = 42$, so this is false.)
2. $8 \times 4 =$ [blank]? This isn't a complete fact to check for truth because the answer is missing. However, looking at the pattern, most bubbles have answers. Let's look closer. Actually, looking at the image, some bubbles have answers and some don't. The instruction says "Color the gumballs with true multiplication facts." Usually, this means checking if the equation provided is correct. If there is no answer provided, it's likely not one of the "facts" to check, or it's incomplete. Let's re-examine.
* Wait, let's look at all bubbles carefully.
* Bubble 1: $6 \times 8 = 42$ (False)
* Bubble 2: $8 \times 4 =$ (Incomplete/No answer shown to verify. Let's skip for now and see if others are clear true/false statements.) *Correction*: Looking closely at crop 2 and 5, bubble 2 is just "$8 \times 4$". It doesn't have an equals sign or answer. Bubble 3 is "$8 \times 6 = 42$" (False, $8 \times 6 = 48$). Bubble 4 is "$9 \times 3 = 33$" (False, $9 \times 3 = 27$).
* Let's re-read the first column.
* $6 \times 8 = 42$ (False)
* $8 \times 4 = 44$ (Wait, looking at crop 5, the second bubble in the second row is $8 \times 4 = 44$? No, let's look at the full image structure.)
Let's go systematically through every visible bubble with an equation and answer.
Row 1 (Top):
* $6 \times 8 = 42$: False ($6 \times 8 = 48$)
* $8 \times 4$: No answer given. Is it a distractor? Or did I miss the answer? Let's assume only bubbles with full equations $A \times B = C$ are candidates.
* $8 \times 6 = 42$: False ($8 \times 6 = 48$)
* $9 \times 3 = 33$: False ($9 \times 3 = 27$)
Row 2:
* $8 \times 4 = 44$: False ($8 \times 4 = 32$)
* $8 \times 2 = 42$: False ($8 \times 2 = 16$)
* $8 \times 8 = 88$: False ($8 \times 8 = 64$)
* $9 \times 0 = 10$: False ($9 \times 0 = 0$)
* $8 \times 6 = 48$: True ($8 \times 6$ is indeed $48$)
Row 3:
* $8 \times 4 = 42$: False ($8 \times 4 = 32$)
* $5 \times 5 = 55$: False ($5 \times 5 = 25$)
* $9 \times 4 = 42$: False ($9 \times 4 = 36$)
* $9 \times 0 = 0$: True ($9 \times 0$ is indeed $0$)
* $8 \times 6 = 66$: False ($8 \times 6 = 48$)
Row 4:
* $8 \times 7 = 57$: False ($8 \times 7 = 56$)
* $5 \times 5 = 50$: False ($5 \times 5 = 25$)
* $8 \times 2 = 22$: False ($8 \times 2 = 16$)
* $8 \times 0 = 4$: False ($8 \times 0 = 0$)
Row 5 (Bottom):
* $8 \times 4 = 49$: False ($8 \times 4 = 32$)
* $8 \times 7 = 47$: False ($8 \times 7 = 56$)
Let's double check my reading of the numbers. Sometimes handwriting or fonts can be tricky.
Let's re-evaluate Row 2, Bubble 5: $8 \times 6 = 48$. Yes, that is True.
Let's re-evaluate Row 3, Bubble 4: $9 \times 0 = 0$. Yes, that is True.
Are there any others?
Let's look at the very top right again. $9 \times 3 = 33$. False.
Let's look at the one below $6 \times 8 = 42$. It is $8 \times 4 = 44$. False.
Let's look at the one below $8 \times 6 = 42$. It is $8 \times 8 = 88$. False.
Let's look at the one below $9 \times 3 = 33$. It is $9 \times 0 = 10$. False. And below that is $8 \times 6 = 48$ (True) and $8 \times 6 = 66$ (False).
Wait, I might have missed a bubble or misread a number. Let me look really closely at the "True" ones I found.
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Are there any more?
Let's check $5 \times 5 = 55$. False.
Let's check $8 \times 7 = 57$. False (close, but $56$).
Let's check $8 \times 7 = 47$. False.
Let's check $8 \times 4 = 49$. False.
Let's re-read the first column, second bubble: $8 \times 4 = 44$. False.
Third bubble: $8 \times 4 = 42$. False.
Fourth bubble: $8 \times 7 = 57$. False.
Fifth bubble: $8 \times 4 = 49$. False.
Second column:
1. $8 \times 4$ (no answer).
2. $8 \times 2 = 42$. False.
3. $5 \times 5 = 55$. False.
4. $5 \times 5 = 50$. False.
5. $8 \times 4 = 49$? No, the last one in col 2 is $8 \times 7 = 47$? Wait, let's trace columns properly.
Let's list them by visual position roughly left-to-right, top-to-bottom.
1. Top Left: $6 \times 8 = 42$ (False)
2. Next to it: $8 \times 4$ (Incomplete) -> Skip.
3. Next: $8 \times 6 = 42$ (False)
4. Far Right Top: $9 \times 3 = 33$ (False)
5. Second Row Left: $8 \times 4 = 44$ (False)
6. Second Row Mid-Left: $8 \times 2 = 42$ (False)
7. Second Row Mid: $8 \times 8 = 88$ (False)
8. Second Row Mid-Right: $9 \times 0 = 10$ (False)
9. Second Row Far Right: $8 \times 6 = 48$ (True)
10. Third Row Left: $8 \times 4 = 42$ (False)
11. Third Row Mid-Left: $5 \times 5 = 55$ (False)
12. Third Row Mid: $9 \times 4 = 42$ (False)
13. Third Row Mid-Right: $9 \times 0 = 0$ (True)
14. Third Row Far Right: $8 \times 6 = 66$ (False)
15. Fourth Row Left: $8 \times 7 = 57$ (False)
16. Fourth Row Mid-Left: $5 \times 5 = 50$ (False)
17. Fourth Row Mid: $8 \times 2 = 22$ (False)
18. Fourth Row Mid-Right: $8 \times 0 = 4$ (False) -- Wait, looking at crop 6, the bubble above the bottom right one says $8 \times 0 = 4$? Or is it $8 \times something$? It looks like $8 \times 0 = 4$. That is False.
19. Bottom Row Left: $8 \times 4 = 49$? No, looking at crop 5, bottom left is $8 \times 4 = 49$? Actually, looking at the main image, the bottom left bubble is $8 \times 4 = 49$? No, it looks like $8 \times 4 = 49$ is wrong. Let me look at the text again. Ah, the bottom left bubble says $8 \times 4 = 49$? No, wait.
Let's look at the bottom-most bubbles.
Leftmost bottom: $8 \times 4 = 49$? No, it says $8 \times 4 = 49$ is unlikely. Let me zoom in on the original image.
Bottom-left bubble: $8 \times 4 = 49$? No, it looks like $8 \times 4 = 49$ is not right. Let's look at the numbers. $8 \times 4 = 32$. The bubble says $49$. So False.
Next to it: $8 \times 7 = 47$. $8 \times 7 = 56$. So False.
So, I have found only two true facts:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
The worksheet has 12 slots on the right side. This implies there might be 12 true facts. Did I miss something fundamental?
"Color the gumballs with true multiplication facts."
Maybe I am misreading the numbers. Let me re-read EVERY single bubble very carefully.
Re-evaluating based on potential misreads:
* $6 \times 8 = 42$ -> False.
* $8 \times 4$ -> Incomplete.
* $8 \times 6 = 42$ -> False.
* $9 \times 3 = 33$ -> False.
* $8 \times 4 = 44$ -> False.
* $8 \times 2 = 42$ -> False.
* $8 \times 8 = 88$ -> False.
* $9 \times 0 = 10$ -> False.
* $8 \times 6 = 48$ -> True.
* $8 \times 4 = 42$ -> False.
* $5 \times 5 = 55$ -> False.
* $9 \times 4 = 42$ -> False.
* $9 \times 0 = 0$ -> True.
* $8 \times 6 = 66$ -> False.
* $8 \times 7 = 57$ -> False.
* $5 \times 5 = 50$ -> False.
* $8 \times 2 = 22$ -> False.
* $8 \times 0 = 4$ -> False. (Actually, looking at crop 6, the bubble is $8 \times 0 = 0$? No, it looks like a 4. But even if it were 0, let's check the position. It's in the 4th row, far right. The bubble above it is $8 \times 6 = 66$. The bubble to its left is $8 \times 2 = 22$. The bubble is $8 \times 0 = 4$? Or is it $8 \times ? = ?$. Let's assume it's false for now.)
* Bottom row:
* $8 \times 4 = 49$? -> False.
* $8 \times 7 = 47$? -> False.
There are only 2 true facts visible with standard interpretation. Why are there 12 boxes?
Perhaps the "incomplete" bubble $8 \times 4$ is meant to be solved? No, the instruction is "Color the gumballs with true multiplication facts". An incomplete fact cannot be judged as true or false unless you fill it in. But usually, these worksheets provide the whole equation.
Let's look at the bubbles again. Maybe I'm misidentifying the numbers.
Is $6 \times 8 = 42$ actually $6 \times 7 = 42$? No, it clearly says 8.
Is $8 \times 6 = 42$ actually $7 \times 6 = 42$? No, it says 8.
Is $9 \times 3 = 33$ actually $11 \times 3 = 33$? No, it says 9.
Is it possible that the question asks to solve the incomplete ones and write them down?
"Color the gumballs with true multiplication facts. Then write the facts in order."
If a gumball has $8 \times 4$, it's not a "true fact" yet, it's an expression.
However, look at the right side. There are pre-filled boxes:
Box 2: `[ ] x [ 2 ]`
Box 12: `11 x [ 2 ]`? No, it looks like `11 x 12`? Or `[ ] x [ 2 ]`?
Let's look at the pre-filled hints on the right.
- The second box has a `2` in the second slot: `_ x 2`.
- The last box has `11` and `12`? Or `_ x 2`? It looks like `11 x 12` is written in the last box? No, looking at crop 3, the last box shows `11` in the first slot and `12` in the second? Or is it `1` and `2`? It looks like `11` and `12`. That would be $11 \times 12 = 132$. That's a big number for this level.
- Wait, look at the second box again. It is `_ x 2`.
- Look at the last box. It is `11 x _`? Or `11 x 12`?
Let's reconsider the bubbles. Are there bubbles I missed?
Maybe the bubbles are:
1. $6 \times 8 = 48$? If the text is blurry and 42 is actually 48... No, it looks like 42.
2. $8 \times 4 = 32$? If 44 is actually 32... No, looks like 44.
Let's look at the "True Facts" title.
Usually, in these problems, if there are many empty boxes, there are many true facts.
Did I miss any bubbles?
Let's count the bubbles.
Row 1: 4 bubbles.
Row 2: 5 bubbles.
Row 3: 5 bubbles.
Row 4: 4 bubbles.
Row 5: 2 bubbles.
Total: 20 bubbles.
Let's re-read the values assuming standard multiplication table errors (distractors).
Distractors are usually off by a little bit or common mistakes.
$6 \times 8 = 48$ (written 42) -> False.
$8 \times 6 = 48$ (written 42) -> False.
$9 \times 3 = 27$ (written 33) -> False.
$8 \times 4 = 32$ (written 44) -> False.
$8 \times 2 = 16$ (written 42?? That's a weird error. Maybe it's $6 \times 7 = 42$? No, says $8 \times 2$).
$8 \times 8 = 64$ (written 88) -> False.
$9 \times 0 = 0$ (written 10) -> False.
$8 \times 6 = 48$ -> True.
$8 \times 4 = 32$ (written 42) -> False.
$5 \times 5 = 25$ (written 55) -> False.
$9 \times 4 = 36$ (written 42) -> False.
$9 \times 0 = 0$ -> True.
$8 \times 6 = 48$ (written 66) -> False.
$8 \times 7 = 56$ (written 57) -> False.
$5 \times 5 = 25$ (written 50) -> False.
$8 \times 2 = 16$ (written 22) -> False.
$8 \times 0 = 0$ (written 4) -> False.
$8 \times 4 = 32$ (written 49??) -> False.
$8 \times 7 = 56$ (written 47) -> False.
Okay, there are definitely only 2 true facts among the completed equations.
What about the incomplete one: $8 \times 4$?
If we calculate it, $8 \times 4 = 32$. Is "8 x 4" considered a "true fact"? No, it's an expression.
But wait! Look at the right-hand side boxes again.
Box 2: `_ x 2`.
Box 12: `11 x _`?
Is it possible that the bubbles contain variables or I am misreading the text entirely?
No, they look like standard arithmetic.
Let's look at the pre-filled boxes on the right again.
The second box has a `2`.
The last box has `11` and `12`?
If the last box is $11 \times 12$, that fact is not in the gumball machine.
This suggests that maybe the task is NOT just to copy the true facts from the machine, but the machine provides a pool, and we select the true ones. But if there are only 2, why 12 boxes?
Alternative Theory: I am misreading the numbers due to image quality/font.
Let's look at $6 \times 8 = 42$. Could it be $6 \times 7 = 42$? The '8' looks round. A '7' would be angular. It looks like an 8.
Let's look at $8 \times 6 = 42$. Could it be $7 \times 6 = 42$? The first digit is round. Looks like 8.
Let's look at $9 \times 3 = 33$. Could it be $11 \times 3 = 33$? The '9' has a tail. An '11' would be two lines. It looks like a 9.
Let's look at the bubbles that resulted in "False" again. Maybe they are actually True and I'm blind?
$8 \times 8 = 88$. No.
$5 \times 5 = 55$. No.
Is there a pattern?
Maybe the question is "Color the gumballs... then write the facts".
If there are only 2 true facts, the student would only fill 2 boxes. The other 10 would remain blank. This is possible. Worksheets often have extra space or generic templates.
However, let's look at the pre-filled numbers in the answer key area (the boxes on the right).
Box 2: The second number is `2`.
Box 12: The first number is `11` and the second is `12`? Or is it `1` and `2`?
If Box 12 is $1 \times 2 = 2$, that's a simple fact.
If Box 2 is $_ \times 2$, maybe the answer is $1 \times 2$?
Let's look for a bubble with $\times 2$.
Bubbles with $\times 2$:
- $8 \times 2 = 42$ (False)
- $8 \times 2 = 22$ (False)
- $11 \times 2$? Is there an 11?
Look at the top right bubble: $9 \times 3 = 33$.
Look at the bottom right area.
Is there a bubble $11 \times 2 = 22$?
In Row 4, 3rd bubble: $8 \times 2 = 22$. If the '8' was an '11', it would be true. But it looks like an 8.
Let's look at the bubble $8 \times 4$ (incomplete).
If we assume the incomplete bubble is a "True Fact" waiting to be written, what is it? $8 \times 4 = 32$.
Does $8 \times 4 = 32$ fit anywhere?
Let's step back. What if the user wants me to identify the TRUE facts from the image provided?
Based on strict mathematical verification:
1. $8 \times 6 = 48$ is True.
2. $9 \times 0 = 0$ is True.
Are there any others?
Let's check $6 \times 8 = 42$ again. If it were $6 \times 7 = 42$, it would be true. But it says 8.
Let's check $8 \times 6 = 42$ again. If it were $7 \times 6 = 42$, it would be true. But it says 8.
Let's check the bubble $8 \times 0 = 4$ again. If it were $8 \times 0 = 0$, it would be true. It says 4.
Let's check the bubble $5 \times 5 = 55$. False.
Let's check $5 \times 5 = 50$. False.
It seems highly likely that there are only two true facts explicitly written correctly in the diagram. The rest are common misconceptions (e.g., adding instead of multiplying, or off-by-one errors).
However, looking at the answer boxes on the right:
The second box has a printed `2`.
The last box has printed `11` and `12`?
Wait, look at the last box in Crop 3. It says `11` `x` `12`.
$11 \times 12 = 132$.
Is there a bubble for $11 \times 12$? No.
This suggests the pre-printed numbers in the boxes might be part of a different version of the worksheet or I am misinterpreting the "pre-filled" nature.
Actually, looking closely at Crop 3, the boxes are:
`[ ] x [ ] =`
`[ ] x [ 2 ] =`
...
`[ 11 ] x [ 12 ] =` ??
No, the last box looks like `[ 11 ] x [ 2 ] =`? Or `[ 1 ] x [ 2 ] =`?
The `11` looks distinct.
Let's ignore the pre-filled boxes for a moment and focus on the instruction: "Color the gumballs with true multiplication facts. Then write the facts in order."
If I strictly follow the math:
The true facts are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Order: The instruction says "write the facts in order". This usually means top-to-bottom, left-to-right as they appear in the source.
1. $8 \times 6 = 48$ appears in Row 2, far right.
2. $9 \times 0 = 0$ appears in Row 3, mid-right.
So the order is:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Let's double check if I missed any "True" facts.
What about $1 \times$ anything?
Are there any $1$s?
No obvious $1$s.
What about $10 \times$?
No.
What about the incomplete bubble $8 \times 4$?
If the student is expected to complete it, it becomes $8 \times 4 = 32$. Is that a "true fact"? Yes. But is it presented as a true fact to color? It's missing the result. Usually, you can't verify truth without the result. However, in some contexts, "8 x 4" is a fact family member. But compared to the others which have explicit (wrong) answers, this one stands out. If we include it, we have 3 facts.
Let's look at the pre-filled box 2: `_ x 2`.
Do we have a true fact ending in 2?
$8 \times 6 = 48$ (ends in 8)
$9 \times 0 = 0$ (ends in 0)
$8 \times 4 = 32$ (ends in 2).
If $8 \times 4 = 32$ is considered a true fact (by solving the incomplete one), then it fits the `_ x 2` hint? No, $8 \times 4$ has a 4, not a 2. The hint is `_ x 2`, meaning the second factor is 2.
Do we have a true fact with second factor 2?
We checked $8 \times 2 = 16$ (written as 42 and 22). Both false.
Is there an $11 \times 2 = 22$?
Look at Row 4, 3rd bubble: $8 \times 2 = 22$. If the '8' is actually an '11'... visually it's an 8. But $11 \times 2 = 22$ is a true fact. And the answer written is 22.
If that bubble is actually $11 \times 2 = 22$, then it is True.
Let's look at the shape of the '8' in $8 \times 2 = 22$. Compare it to the '8' in $8 \times 6 = 48$. They look identical. So it is an 8. Thus $8 \times 2 = 22$ is False.
However, look at the last box hint: `11 x ...`.
This strongly implies there is an 11 involved.
Where could an 11 be?
Maybe the bubble $9 \times 3 = 33$ is actually $11 \times 3 = 33$?
Visually, the first digit is a loop with a tail. That's a 9. An 11 is two straight lines.
Maybe the bubble $6 \times 8 = 42$ is actually something else?
Let's reconsider the "True Facts" logic.
Often, these worksheets have exactly enough true facts to fill the boxes. There are 12 boxes.
I found 2 definite truths.
I found 1 incomplete ($8 \times 4$).
I found several "almost" truths where the answer matches a different multiplier.
- $6 \times 7 = 42$ (Bubble says $6 \times 8 = 42$)
- $7 \times 6 = 42$ (Bubble says $8 \times 6 = 42$)
- $11 \times 3 = 33$ (Bubble says $9 \times 3 = 33$)
- $11 \times 4 = 44$ (Bubble says $8 \times 4 = 44$)
- $11 \times 8 = 88$ (Bubble says $8 \times 8 = 88$)
- $11 \times 2 = 22$ (Bubble says $8 \times 2 = 22$)
- $11 \times 5 = 55$ (Bubble says $5 \times 5 = 55$)
- $11 \times 0 = 0$? (Bubble says $9 \times 0 = 10$ - no)
- $11 \times 6 = 66$ (Bubble says $8 \times 6 = 66$)
- $11 \times 7 = 77$? (Bubble says $8 \times 7 = 57$ - no)
- $11 \times 9 = 99$?
- $11 \times 12 = 132$?
Hypothesis: The font for '8' is actually '11'? No, that's absurd.
Hypothesis: The font for '8' is '8', but the student is supposed to identify that the Answer is correct for a different problem? No, that's overthinking.
Let's look at the bubbles again.
$8 \times 6 = 48$ -> True.
$9 \times 0 = 0$ -> True.
Is it possible that $8 \times 0 = 4$ is actually $8 \times 0 = 0$ and I'm misreading the 4?
In Crop 6, the bubble above the bottom right one. $8 \times 0 = 4$. The '4' is quite clear.
Is it possible that $8 \times 7 = 57$ is actually $8 \times 7 = 56$ and I'm misreading the 7?
In Crop 5, bottom left of the main cluster. $8 \times 7 = 57$. The '7' is clear.
Is it possible that $5 \times 5 = 55$ is considered true in some alternate universe? No.
Okay, let's look at the pre-filled boxes again.
Box 2: `_ x 2`.
Box 12: `11 x 12`?
If the last box is $11 \times 12$, where is that fact? It's not in the machine.
Conclusion: The prompt asks me to "Solve the problem accurately."
The problem is: "Color the gumballs with true multiplication facts. Then write the facts in order."
Based on the visual evidence, only two facts are mathematically true as written.
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
The pre-filled boxes on the right might be red herrings, or from a different edition, or I am failing to see 10 other true facts due to severe misinterpretation of the digits.
Let's try one more interpretation: The digits are not what they seem.
Could the '8's be '3's?
$3 \times 8 = 24$.
$3 \times 6 = 18$.
No.
Could the '8's be '5's?
$5 \times 6 = 30$.
No.
Let's assume the standard interpretation: Only the mathematically correct equations are "True Facts".
The true facts are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
Final Answer Formulation:
I will list the true facts found.
Final Answer:
The true multiplication facts in the gumball machine are:
1. $8 \times 6 = 48$
2. $9 \times 0 = 0$
(Written in order from top to bottom, left to right)
Parent Tip: Review the logic above to help your child master the concept of multiplication math facts worksheets.