Subtracting Decimals - Keeping It Simple! - Free Printable
Educational worksheet: Subtracting Decimals - Keeping It Simple!. Download and print for classroom or home learning activities.
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Step-by-step solution for: Subtracting Decimals - Keeping It Simple!
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting Decimals - Keeping It Simple!
Let’s solve each subtraction problem step by step.
---
First Problem: 8.5 – 6.23
Step 1: Line up the decimals.
We can write 8.5 as 8.50 so both numbers have two decimal places.
```
8.50
- 6.23
-------
```
Step 2: Subtract starting from the rightmost digit.
- Hundredths place: 0 – 3 → Can’t do, so borrow from tenths.
- Tenths becomes 4, hundredths becomes 10.
- 10 – 3 = 7
- Tenths place: 4 – 2 = 2
- Ones place: 8 – 6 = 2
So we get:
```
8.50
- 6.23
-------
2.27
```
✔ Correct answer: 2.27
---
Second Problem: 7.5 – 4.368
Step 1: Line up the decimals.
Write 7.5 as 7.500 to match three decimal places.
```
7.500
- 4.368
--------
```
Step 2: Subtract from right to left.
- Thousandths: 0 – 8 → Can’t do, borrow from hundredths.
- Hundredths is 0, so keep borrowing from tenths.
- Tenths is 5 → becomes 4, hundredths becomes 9 (after borrowing), thousandths becomes 10.
- Now: 10 – 8 = 2
- Hundredths: 9 – 6 = 3
- Tenths: 4 – 3 = 1
- Ones: 7 – 4 = 3
So:
```
7.500
- 4.368
--------
3.132
```
Wait — that gives 3.132, but the image shows 3.312. That’s wrong!
Let me double-check:
Actually, let’s redo carefully:
Start with:
```
7.500
- 4.368
--------
```
Thousandths: 0 – 8 → borrow needed.
Look at hundredths: it’s 0 → borrow from tenths.
Tenths is 5 → reduce to 4, hundredths becomes 10 → now lend to thousandths → hundredths becomes 9, thousandths becomes 10.
Now:
Thousandths: 10 – 8 = 2
Hundredths: 9 – 6 = 3
Tenths: 4 – 3 = 1
Ones: 7 – 4 = 3
Result: 3.132
But the image says 3.312 — that’s incorrect.
Wait — maybe I misread? Let me check again.
Image shows:
```
7.5
- 4.368
-------
3.312
```
That must be a mistake in the image.
Let me calculate numerically:
7.5 minus 4.368:
7.500
–4.368
= ?
Do 7.500 – 4.000 = 3.500
Then 3.500 – 0.368 = ?
3.500 – 0.300 = 3.200
3.200 – 0.068 = 3.132
Yes — correct answer is 3.132
The image has an error — it wrote 3.312 instead of 3.132.
But since the user might expect us to follow what’s shown... wait no — our job is to solve accurately.
So final answers should be:
First: 2.27 ✔
Second: 3.132 ✘ (image says 3.312 — which is wrong)
But perhaps I made a mistake?
Wait — let me use another method.
Convert to fractions:
7.5 = 75/10 = 15/2
4.368 = 4368/1000 = 546/125
Better to use decimals.
7.500
–4.368
------
Start from right:
0 – 8 → borrow → 10 – 8 = 2
Next column was 0, became 9 after lending → 9 – 6 = 3
Next was 5, became 4 → 4 – 3 = 1
7 – 4 = 3
Still 3.132.
Alternatively, add 3.132 + 4.368 = ?
3.132 + 4.368 = 7.500 → yes! Correct.
If you add 3.312 + 4.368 = 7.680 → not 7.5 → so definitely wrong.
Therefore, the second answer in the image is incorrect.
But since the instruction is to “solve the problem accurately”, we must give the correct math.
However — looking back at the original request: “You are an educational assistant helping a student solve homework problems.” And the image shows those answers boxed.
Possibility: Maybe the student is supposed to verify or correct? But the prompt doesn't say that.
Re-read user message: “Solve the problem accurately.”
And rules: “Do not describe the image. Do not mention that the task came from an image.”
So we just present the correct solutions for the subtractions shown.
Thus:
For 8.5 – 6.23 = 2.27
For 7.5 – 4.368 = 3.132
Even though the image boxes 3.312, we know it's wrong.
But wait — could there be a typo in how I read the image?
Looking again: The image writes:
Right side:
```
7.5
- 4.368
-------
3.312
```
Is it possible they meant 7.500 – 4.188 or something? No.
Perhaps they did:
7.5 – 4.368
They might have done:
7.5 – 4 = 3.5
Then 3.5 – 0.368 = ?
3.5 – 0.3 = 3.2
3.2 – 0.06 = 3.14
3.14 – 0.008 = 3.132
Same result.
Maybe they subtracted wrong digits.
Another idea: Did they align incorrectly?
Suppose someone did:
7.5
- 4.368
But aligned as:
7.5
-4.368
------
.132 ← missing whole number?
No.
Or maybe they thought 7.5 is 7.500 and did:
Thousandths: 0–8 → borrow → 10–8=2
Hundredths: 0 became 10, lent 1 → 9, 9–6=3
Tenths: 5 became 4, 4–3=1
Ones: 7–4=3 → 3.132
I think the image has a typo.
As an accurate solver, I must report 3.132.
But let me confirm once more with calculator-style:
7.5 minus 4.368:
7.500
–4.368
======
3.132
Yes.
So final answers:
First: 2.27
Second: 3.132
Since the options ExplainAnswer, TeachTopic, GeneratePractice are all false, we only provide Final Answer.
Final Answer:
2.27 and 3.132
---
First Problem: 8.5 – 6.23
Step 1: Line up the decimals.
We can write 8.5 as 8.50 so both numbers have two decimal places.
```
8.50
- 6.23
-------
```
Step 2: Subtract starting from the rightmost digit.
- Hundredths place: 0 – 3 → Can’t do, so borrow from tenths.
- Tenths becomes 4, hundredths becomes 10.
- 10 – 3 = 7
- Tenths place: 4 – 2 = 2
- Ones place: 8 – 6 = 2
So we get:
```
8.50
- 6.23
-------
2.27
```
✔ Correct answer: 2.27
---
Second Problem: 7.5 – 4.368
Step 1: Line up the decimals.
Write 7.5 as 7.500 to match three decimal places.
```
7.500
- 4.368
--------
```
Step 2: Subtract from right to left.
- Thousandths: 0 – 8 → Can’t do, borrow from hundredths.
- Hundredths is 0, so keep borrowing from tenths.
- Tenths is 5 → becomes 4, hundredths becomes 9 (after borrowing), thousandths becomes 10.
- Now: 10 – 8 = 2
- Hundredths: 9 – 6 = 3
- Tenths: 4 – 3 = 1
- Ones: 7 – 4 = 3
So:
```
7.500
- 4.368
--------
3.132
```
Wait — that gives 3.132, but the image shows 3.312. That’s wrong!
Let me double-check:
Actually, let’s redo carefully:
Start with:
```
7.500
- 4.368
--------
```
Thousandths: 0 – 8 → borrow needed.
Look at hundredths: it’s 0 → borrow from tenths.
Tenths is 5 → reduce to 4, hundredths becomes 10 → now lend to thousandths → hundredths becomes 9, thousandths becomes 10.
Now:
Thousandths: 10 – 8 = 2
Hundredths: 9 – 6 = 3
Tenths: 4 – 3 = 1
Ones: 7 – 4 = 3
Result: 3.132
But the image says 3.312 — that’s incorrect.
Wait — maybe I misread? Let me check again.
Image shows:
```
7.5
- 4.368
-------
3.312
```
That must be a mistake in the image.
Let me calculate numerically:
7.5 minus 4.368:
7.500
–4.368
= ?
Do 7.500 – 4.000 = 3.500
Then 3.500 – 0.368 = ?
3.500 – 0.300 = 3.200
3.200 – 0.068 = 3.132
Yes — correct answer is 3.132
The image has an error — it wrote 3.312 instead of 3.132.
But since the user might expect us to follow what’s shown... wait no — our job is to solve accurately.
So final answers should be:
First: 2.27 ✔
Second: 3.132 ✘ (image says 3.312 — which is wrong)
But perhaps I made a mistake?
Wait — let me use another method.
Convert to fractions:
7.5 = 75/10 = 15/2
4.368 = 4368/1000 = 546/125
Better to use decimals.
7.500
–4.368
------
Start from right:
0 – 8 → borrow → 10 – 8 = 2
Next column was 0, became 9 after lending → 9 – 6 = 3
Next was 5, became 4 → 4 – 3 = 1
7 – 4 = 3
Still 3.132.
Alternatively, add 3.132 + 4.368 = ?
3.132 + 4.368 = 7.500 → yes! Correct.
If you add 3.312 + 4.368 = 7.680 → not 7.5 → so definitely wrong.
Therefore, the second answer in the image is incorrect.
But since the instruction is to “solve the problem accurately”, we must give the correct math.
However — looking back at the original request: “You are an educational assistant helping a student solve homework problems.” And the image shows those answers boxed.
Possibility: Maybe the student is supposed to verify or correct? But the prompt doesn't say that.
Re-read user message: “Solve the problem accurately.”
And rules: “Do not describe the image. Do not mention that the task came from an image.”
So we just present the correct solutions for the subtractions shown.
Thus:
For 8.5 – 6.23 = 2.27
For 7.5 – 4.368 = 3.132
Even though the image boxes 3.312, we know it's wrong.
But wait — could there be a typo in how I read the image?
Looking again: The image writes:
Right side:
```
7.5
- 4.368
-------
3.312
```
Is it possible they meant 7.500 – 4.188 or something? No.
Perhaps they did:
7.5 – 4.368
They might have done:
7.5 – 4 = 3.5
Then 3.5 – 0.368 = ?
3.5 – 0.3 = 3.2
3.2 – 0.06 = 3.14
3.14 – 0.008 = 3.132
Same result.
Maybe they subtracted wrong digits.
Another idea: Did they align incorrectly?
Suppose someone did:
7.5
- 4.368
But aligned as:
7.5
-4.368
------
.132 ← missing whole number?
No.
Or maybe they thought 7.5 is 7.500 and did:
Thousandths: 0–8 → borrow → 10–8=2
Hundredths: 0 became 10, lent 1 → 9, 9–6=3
Tenths: 5 became 4, 4–3=1
Ones: 7–4=3 → 3.132
I think the image has a typo.
As an accurate solver, I must report 3.132.
But let me confirm once more with calculator-style:
7.5 minus 4.368:
7.500
–4.368
======
3.132
Yes.
So final answers:
First: 2.27
Second: 3.132
Since the options ExplainAnswer, TeachTopic, GeneratePractice are all false, we only provide Final Answer.
Final Answer:
2.27 and 3.132
Parent Tip: Review the logic above to help your child master the concept of subtracting decimals.