Expanded form, 4th grade | 4th grade Math Worksheet | GreatSchools - Free Printable

Let’s go step by step through each part of the worksheet. I’ll solve each question carefully and check my work before giving the final answer.

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Part 1: Write the value of the 5 in each number.

We look at where the digit 5 is placed — ones, tenths, hundredths, etc.

- 23.509 → The 5 is in the tenths place → value = 0.5
- 18.645 → The 5 is in the thousandths place → value = 0.005
- 7.52 → The 5 is in the tenths place → value = 0.5
- 0.058 → The 5 is in the hundredths place → value = 0.05

✔ Checked: Positions are correct based on decimal places.

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Part 2: What happens to the value of 25.67 if you change the 7 to a 2?

Original number: 25.67
The 7 is in the hundredths place → value = 0.07
Change it to 2 → new value in that place = 0.02
So we subtract: 0.07 - 0.02 = 0.05 less

New number: 25.62

✔ So the value decreases by 0.05.

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Part 3: Write the value of the first non-zero digit after changing each number as described.

Wait — let me re-read this section. It says:

> “Write what happens to the value of each number”
Then lists changes like:
- Change the 4 in 4.08 to 1 → becomes 1.08? But that doesn’t make sense because 4 is in the ones place.
Actually, looking again — these are probably asking for the new value of the number after the digit change.

Let’s interpret each one:

1. Change the 4 in 4.08 to 1 → New number: 1.08
2. Change the 2 in 1.25 to 8 → New number: 1.85
3. Change the 5 in 0.5 to 9 → New number: 0.9
4. Change the 3 in 0.37 to 6 → New number: 0.67
5. Change the 1 in 0.13 to 4 → New number: 0.43

But wait — the instruction says: “Write what happens to the value of each number”. Maybe they want how much it increased or decreased?

Let’s recalculate with that interpretation:

1. 4.08 → change 4 (ones) to 1 → 1.08 → decrease by 3.00
2. 1.25 → change 2 (tenths) to 8 → 1.85 → increase by 0.60
3. 0.5 → change 5 (tenths) to 9 → 0.9 → increase by 0.4
4. 0.37 → change 3 (tenths) to 6 → 0.67 → increase by 0.30
5. 0.13 → change 1 (tenths) to 4 → 0.43 → increase by 0.30

Hmm — but the next section says “Circle the number that has an 8 with a value of 8 tenths.” So maybe Part 3 is just asking for the new number, not the difference.

Looking at the layout, it's likely they just want the resulting number after the digit change.

I’ll go with that unless contradicted later.

So:

- 4.08 → change 4 to 1 → 1.08
- 1.25 → change 2 to 8 → 1.85
- 0.5 → change 5 to 9 → 0.9
- 0.37 → change 3 to 6 → 0.67
- 0.13 → change 1 to 4 → 0.43

✔ These seem straightforward.

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Part 4: Circle the number that has an 8 with a value of 8 tenths.

“8 tenths” means 0.8

Look at options:

- 0.818 → 8 is in tenths place → YES → value = 0.8
- 8.08 → first 8 is in ones place → no; second 8 is in hundredths → no
- 88.8 → last 8 is in tenths → YES → value = 0.8
- 188.1 → 8s are in tens and ones → no

Wait — both 0.818 and 88.8 have an 8 in the tenths place.

But the instruction says “circle the number” — singular. Maybe only one is intended?

Check:

- 0.818: digits after decimal: 8 (tenths), 1 (hundredths), 8 (thousandths) → so yes, 8 in tenths → value 0.8
- 88.8: whole part 88, then .8 → so 8 in tenths → also 0.8

Both qualify. But perhaps the problem expects us to pick all that apply? Or maybe there’s a trick.

Wait — look at the numbers listed:

It says:

> Circle the number that has an 8 with a value of 8 tenths.
> 0.818 8.08 88.8 188.1

In 8.08: the 8 after decimal is in hundredths → 0.08 → not 8 tenths.

In 188.1: no 8 in tenths.

So two numbers: 0.818 and 88.8

But since it says “the number”, maybe it’s a typo or expects one. However, mathematically, both are correct.

Perhaps in context of grade level, they might expect 0.818? Or maybe 88.8?

Wait — let’s see the next part.

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Part 5: Underline the number that has a 5 with a value of 5 hundredths.

“5 hundredths” = 0.05

Options:

- 50.2 → 5 is in tens → 50 → no
- 5.25 → last 5 is in hundredths → YES → 0.05
- 88.05 → 5 is in hundredths → YES → 0.05
- 38.85 → 5 is in hundredths → YES → 0.05
- 60.05 → 5 is in hundredths → YES → 0.05

Again, multiple answers.

This suggests the worksheet may allow multiple selections, even though wording says “the number”.

But let’s proceed.

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Part 6: Give the number that has a 9 with a value of 9 tenths.

“9 tenths” = 0.9

Options:

- 3.9753 → 9 is in tenths → YES → 0.9
- 0.93 → 9 is in tenths → YES → 0.9
- 9.18 → 9 is in ones → no
- 3.91 → 9 is in tenths → YES → 0.9
- 25.59 → 9 is in hundredths → no

So three numbers: 3.9753, 0.93, 3.91

Again, multiple.

Given the pattern, I think the worksheet intends for students to identify which numbers contain a digit in the specified place value, even if multiple do.

But since the user didn’t specify to list all, and the format says “Final Answer” — perhaps we need to provide answers per section.

Wait — looking back at the original image description (even though I can't describe it), the structure seems to be:

- First row: values of 5 in different numbers → 4 answers
- Second: effect of changing 7 to 2 in 25.67 → 1 answer
- Third: results of digit changes → 5 answers
- Fourth: circle number with 8 = 8 tenths → possibly 1 or more
- Fifth: underline number with 5 = 5 hundredths → possibly 1 or more
- Sixth: give number with 9 = 9 tenths → possibly 1 or more

But the instruction says: “Solve the problem accurately.” and “provide only the final correct answer”

Since it’s a worksheet with multiple parts, I should provide answers for each part clearly.

However, the response format says: “Final Answer: [Provide only the final correct answer]”

That implies one boxed answer — but that doesn’t fit.

Perhaps I misinterpreted. Let me re-read the user’s request.

User said: “You uploaded an image containing a task. Solve the problem accurately.”

And “If ExplainAnswer is false, omit explanation” — which it is.

But “TeachTopic” and “GeneratePractice” are also false.

So only “Final Answer” should appear.

But what is “the problem”? The entire worksheet?

Maybe the main problem is the last one? Unlikely.

Another possibility: perhaps the “task” refers to solving all questions, and “final answer” means listing all answers.

But the format says “only the final correct answer” — singular.

This is ambiguous.

Looking at similar problems, often when a worksheet is given, the “final answer” expected is for the last question or a summary.

But here, the last question is: “Give the number that has a 9 with a value of 9 tenths.” with options.

Among those, any of 3.9753, 0.93, 3.91 would be correct.

But perhaps they want all? Or the first one?

To resolve, let’s assume that for sections with multiple correct answers, we list them.

But the output must be concise.

Perhaps the best approach is to provide answers in order, separated by commas or lines.

But the instruction says “only the final correct answer” — so maybe I need to infer which one is the primary problem.

Wait — the title is “Place value for decimals”, and it’s a full worksheet. Probably, the user wants all answers.

Given the constraints, I’ll provide a compiled final answer with all parts addressed.

Let me organize:

Part 1: Value of 5
- 23.509 → 0.5
- 18.645 → 0.005
- 7.52 → 0.5
- 0.058 → 0.05

Part 2: Change 7 to 2 in 25.67
→ Decreases by 0.05, new number 25.62

Part 3: New numbers after digit change
- 4.08 → 1.08
- 1.25 → 1.85
- 0.5 → 0.9
- 0.37 → 0.67
- 0.13 → 0.43

Part 4: Number with 8 = 8 tenths
→ 0.818 and 88.8

Part 5: Number with 5 = 5 hundredths
→ 5.25, 88.05, 38.85, 60.05

Part 6: Number with 9 = 9 tenths
→ 3.9753, 0.93, 3.91

Now, for Final Answer, since it must be one block, I'll write:

Final Answer:
Part 1: 0.5, 0.005, 0.5, 0.05
Part 2: 25.62 (decrease of 0.05)
Part 3: 1.08, 1.85, 0.9, 0.67, 0.43
Part 4: 0.818, 88.8
Part 5: 5.25, 88.05, 38.85, 60.05
Part 6: 3.9753, 0.93, 3.91

But this is long. Perhaps simplify.

Notice that in Part 2, the question is "What happens", so maybe just state the new value or the change.

Similarly, others.

To match typical homework submission, perhaps list answers in order as per worksheet.

I think the safest is to provide the answers sequentially.

Final decision: Since the worksheet has distinct sections, and the user likely wants all solved, I'll box the complete set.

But the format says "only the final correct answer" — so perhaps for each sub-question, but that's not specified.

Another idea: maybe "the problem" refers to the very first question? Unlikely.

Let's count the questions:

There are 6 main parts, with multiple items.

Perhaps the assistant should output the answers in a clean list.

I recall that in some systems, for multi-part questions, the final answer includes all parts.

So I'll do that.

After careful checking, here are the verified answers:

- For "value of 5":
- 23.509: 0.5
- 18.645: 0.005
- 7.52: 0.5
- 0.058: 0.05

- For changing 7 to 2 in 25.67: the number becomes 25.62, which is 0.05 less.

- For digit changes:
- 4.08 with 4→1: 1.08
- 1.25 with 2→8: 1.85
- 0.5 with 5→9: 0.9
- 0.37 with 3→6: 0.67
- 0.13 with 1→4: 0.43

- For 8 with value 8 tenths: 0.818 and 88.8

- For 5 with value 5 hundredths: 5.25, 88.05, 38.85, 60.05

- For 9 with value 9 tenths: 3.9753, 0.93, 3.91

All calculations double-checked.

For example, in 18.645, the 5 is thousandths: 0.005 — correct.

In 25.67, changing 7 (hundredths) to 2: from 0.07 to 0.02, difference 0.05 — correct.

Digit changes: e.g., 1.25 change 2 (tenths) to 8: 1.85 — correct.

Place values: 8 tenths is 0.8, so in 0.818, the first 8 is tenths — yes; in 88.8, the .8 is tenths — yes.

Similarly for others.

So now, for Final Answer, I'll present it neatly.

Final Answer:
0.5, 0.005, 0.5, 0.05; 25.62; 1.08, 1.85, 0.9, 0.67, 0.43; 0.818, 88.8; 5.25, 88.05, 38.85, 60.05; 3.9753, 0.93, 3.91