Math worksheet for learning place value with base-10 blocks.

Let’s go through each problem one by one. We’re counting “tens” and “ones” using base-10 blocks.

Remember:
- A long rod = 10 (that’s a “ten”)
- A small square = 1 (that’s an “one”)

We’ll count how many tens rods there are, then how many ones squares, add them together to get the total number.

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Problem ①:
- Tens: 2 rods → 2 × 10 = 20
- Ones: 7 squares → 7
- Total: 20 + 7 = 27

Problem ②:
- Tens: 1 big block (which is 10×10? Wait — no! Look again.)

Wait — hold on! In Problem ②, the first group is a 10x10 grid? That would be 100 — but this worksheet is about *tens and ones*, so probably that big block is meant to represent 10 tens? But that doesn’t fit.

Actually — looking at all problems, it seems like:

In Problems ③, ⑥ — they show a full 10x10 grid labeled under “Tens”. That must mean that in this worksheet, a 10x10 grid = 100? But then why label it “Tens”? That doesn’t make sense.

Wait — let me re-examine.

Looking at Problem ③: It shows one 10x10 grid (100) and 4 single squares. But it says “___ + ___” with labels “Tens” and “Ones”.

That can’t be right if we’re only doing up to 99.

Ah — I think I see the mistake. Actually, in standard base-10 blocks for place value worksheets like this:

- A single cube = 1 (one)
- A rod of 10 cubes = 10 (ten)
- A flat of 10x10 = 100 (hundred)

But this worksheet is titled “Place Value Worksheet” and has columns labeled “Tens” and “Ones”, which suggests numbers from 0 to 99.

So perhaps in Problems ②, ③, ⑥ — the big 10x10 grid is actually meant to represent 10 tens? That would be 100 — still too big.

Wait — look at Problem ⑤: three rods (each 10) and four singles → 34. That makes sense.

Problem ④: one rod and seven singles → 17.

Problem ⑦: zero rods, ten singles → 10? But it’s written as “Tens + Ones” — so maybe they want us to write 0 + 10? But usually we regroup.

Hmm — perhaps in this worksheet, when you have 10 or more ones, you don’t regroup — you just write the actual count?

But that contradicts place value.

Wait — let’s check Problem ⑨: three columns of 10 singles each → 30 ones. So they’re showing 30 as 0 tens and 30 ones? That doesn’t make sense for place value.

I think there’s a misinterpretation here.

Actually — looking again at the images:

In Problem ②: The first image is a 10x10 grid — that’s 100 units. But since the worksheet is about tens and ones, maybe that’s a typo or misrepresentation? Or perhaps in this context, the 10x10 grid is being used to represent 10 tens? That would be 100 — still not fitting.

Wait — let’s count the blocks carefully based on what’s drawn.

Perhaps the key is: in some problems, they use a 10x10 grid to represent 100, but since the worksheet is labeled “Tens” and “Ones”, maybe those problems are mistakes? Or perhaps I need to interpret differently.

Another idea: Maybe in Problems ②, ③, ⑥ — the big block is actually 10 rods stacked? No, it’s drawn as a solid grid.

Let me try to count the actual number of unit squares represented.

For example, in Problem ②:

Left side: a 10x10 grid → 100 small squares.

Right side: 8 small squares.

Total = 108.

But then “Tens + Ones” — 108 would be 10 tens and 8 ones? But 10 tens is 100, which is correct.

Oh! Maybe that’s it!

In this worksheet, “Tens” means how many groups of 10, even if it’s more than 9.

Similarly, “Ones” is the leftover after taking out groups of 10.

But typically, in place value, we regroup so that ones are less than 10.

However, looking at Problem ⑦: 10 ones — they might expect 0 tens and 10 ones.

Problem ⑨: 30 ones — 0 tens and 30 ones.

That seems odd, but possible for a beginner worksheet to show unregrouped form.

But let’s verify with Problem ①: 2 tens and 7 ones → 27 — that’s standard.

Problem ④: 1 ten and 7 ones → 17.

Problem ⑤: 3 tens and 4 ones → 34.

Problem ⑧: 1 ten and 8 ones → 18.

Now Problem ②: left side is 10x10 = 100, which is 10 tens. Right side is 8 ones. So 10 tens + 8 ones = 108.

But the blank is “___ + ___” with “Tens” and “Ones” underneath — so they want the number of tens and number of ones, not the total.

The instruction says: “Fill in the blanks to find the answers” — and below each, it’s “___ + ___” with “Tens” and “Ones”.

So for each problem, we fill in how many tens and how many ones are shown, then presumably add them to get the total, but the answer expected might be the two numbers.

Looking back at the user’s request: “Solve the problem accurately.” And the final answer should be provided.

Since it’s a worksheet with 9 problems, likely we need to provide the pair (tens, ones) for each, or the total number.

But the format says “Final Answer: [Provide only the final correct answer]”

Probably, since it’s multiple problems, we list the answers for each.

Perhaps the “answer” for each box is the total number.

Let me assume that for each problem, we calculate the total value by adding (number of tens × 10) + (number of ones).

And for the big grids, we interpret them as follows:

- A single rod = 10
- A 10x10 grid = 100 (which is 10 tens)

But in place value terms, 100 is 1 hundred, 0 tens, 0 ones — but here the labels are only “Tens” and “Ones”, so perhaps they want us to express everything in tens and ones without hundreds.

For example, 100 = 10 tens + 0 ones.

108 = 10 tens + 8 ones.

That seems consistent.

Let’s apply that.

Define:
- Each vertical rod = 1 ten
- Each 10x10 grid = 10 tens (since 100 = 10×10)
- Each single square = 1 one

Now solve each:

①:
- Tens: 2 rods → 2
- Ones: 7 squares → 7
- Total: 2*10 + 7 = 27

②:
- Tens: 1 grid → 10 tens
- Ones: 8 squares → 8
- Total: 10*10 + 8 = 108

③:
- Tens: 1 grid → 10 tens
- Ones: 4 squares → 4
- Total: 100 + 4 = 104

④:
- Tens: 1 rod → 1
- Ones: 7 squares → 7
- Total: 10 + 7 = 17

⑤:
- Tens: 3 rods → 3
- Ones: 4 squares → 4
- Total: 30 + 4 = 34

⑥:
- Tens: 1 grid → 10 tens
- Ones: 0 squares → 0
- Total: 100 + 0 = 100

⑦:
- Tens: 0 rods → 0
- Ones: 10 squares → 10
- Total: 0 + 10 = 10

⑧:
- Tens: 1 rod → 1
- Ones: 8 squares → 8
- Total: 10 + 8 = 18

⑨:
- Tens: 0 rods → 0
- Ones: 30 squares (3 columns of 10) → 30
- Total: 0 + 30 = 30

Now, the worksheet asks to "fill in the blanks" which are the two numbers before "+" for tens and ones.

So for each problem, the answer is the pair (tens, ones).

But the final answer might be the list of totals or the pairs.

Since the instruction is to solve the problem, and it's a worksheet, likely we need to provide the completed blanks.

But for the response, since it says "final answer", and there are 9 problems, perhaps list the total for each.

To be safe, I'll provide the total number for each problem, as that's the "answer" to finding the value.

So:

①: 27
②: 108
③: 104
④: 17
⑤: 34
⑥: 100
⑦: 10
⑧: 18
⑨: 30

But let's double-check Problem ②: the right side has 8 ones? Let's count: top row 2, middle row 3, bottom row 3? 2+3+3=8, yes.

Problem ③: 4 ones, yes.

Problem ⑥: only the grid, no ones, so 100.

Problem ⑦: 10 ones, yes.

Problem ⑨: 3 columns of 10, so 30 ones, yes.

All seem correct.

So the final answers for each problem are the total values.

Final Answer:
① 27
② 108
③ 104
④ 17
⑤ 34
⑥ 100
⑦ 10
⑧ 18
⑨ 30