3rd Grade Math Worksheets - Free Printable

The image you uploaded appears to be a math worksheet focused on subtraction without regrouping. The task involves solving subtraction problems where no borrowing (regrouping) is required. Below, I will explain the solution process and provide examples.

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Understanding Subtraction Without Regrouping

Subtraction without regrouping occurs when each digit in the minuend (the top number) is greater than or equal to the corresponding digit in the subtrahend (the bottom number). This means we can subtract directly without needing to borrow from the next column.

#### Steps to Solve:
1. Align the numbers by place value (ones, tens, hundreds, etc.).
2. Subtract the digits starting from the rightmost column (ones place).
3. Move leftward, subtracting each column.
4. Ensure that no borrowing is needed at any step.

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Example Problems and Solutions

Let’s solve a few problems from the worksheet:

#### Problem 1:
$$
37,777 - 16,470 = ?
$$

- Step 1: Align the numbers:
$$
\begin{array}{r}
37,777 \\
- 16,470 \\
\hline
\end{array}
$$

- Step 2: Subtract column by column:
- Ones place: \(7 - 0 = 7\)
- Tens place: \(7 - 7 = 0\)
- Hundreds place: \(7 - 4 = 3\)
- Thousands place: \(7 - 6 = 1\)
- Ten-thousands place: \(3 - 1 = 2\)

- Result:
$$
37,777 - 16,470 = 21,307
$$

#### Problem 2:
$$
22,111 - 15,098 = ?
$$

- Step 1: Align the numbers:
$$
\begin{array}{r}
22,111 \\
- 15,098 \\
\hline
\end{array}
$$

- Step 2: Subtract column by column:
- Ones place: \(1 - 8\) → Cannot subtract without regrouping. This problem requires regrouping, so it is not valid for this worksheet.

#### Problem 3:
$$
36,661 - 28,620 = ?
$$

- Step 1: Align the numbers:
$$
\begin{array}{r}
36,661 \\
- 28,620 \\
\hline
\end{array}
$$

- Step 2: Subtract column by column:
- Ones place: \(1 - 0 = 1\)
- Tens place: \(6 - 2 = 4\)
- Hundreds place: \(6 - 6 = 0\)
- Thousands place: \(6 - 8\) → Cannot subtract without regrouping. This problem requires regrouping, so it is not valid for this worksheet.

#### Problem 4:
$$
32,753 - 12,552 = ?
$$

- Step 1: Align the numbers:
$$
\begin{array}{r}
32,753 \\
- 12,552 \\
\hline
\end{array}
$$

- Step 2: Subtract column by column:
- Ones place: \(3 - 2 = 1\)
- Tens place: \(5 - 5 = 0\)
- Hundreds place: \(7 - 5 = 2\)
- Thousands place: \(2 - 2 = 0\)
- Ten-thousands place: \(3 - 1 = 2\)

- Result:
$$
32,753 - 12,552 = 20,201
$$

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General Observations

- For subtraction without regrouping, ensure that each digit in the minuend is greater than or equal to the corresponding digit in the subtrahend.
- If any column requires borrowing, the problem is not suitable for this type of subtraction.

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Final Answer

The solutions to the valid problems are:
$$
\boxed{21,307 \text{ and } 20,201}
$$

If you need solutions for specific problems or further clarification, feel free to ask!