Math free worksheets for Grade 2 - Free Printable

Problem Description:

The task is to solve the addition equations provided in the image without regrouping (carrying over). Each equation involves adding two numbers, and the totals must be written down.

Solution Approach:

1. Understand the Task: We need to add two numbers for each equation without carrying over digits from one place value to another.
2. Perform Addition: Add the numbers column by column (ones, tens, hundreds) and ensure no digit exceeds 9 in any column.
3. Write Down the Totals: Record the results for each equation.

Step-by-Step Solution:

#### Equation 1: \( 187 + 510 \)
\[
\begin{array}{r}
187 \\
+ 510 \\
\hline
697 \\
\end{array}
\]
- Ones: \( 7 + 0 = 7 \)
- Tens: \( 8 + 1 = 9 \)
- Hundreds: \( 1 + 5 = 6 \)

Total: 697

#### Equation 2: \( 222 + 66 \)
\[
\begin{array}{r}
222 \\
+ 66 \\
\hline
288 \\
\end{array}
\]
- Ones: \( 2 + 6 = 8 \)
- Tens: \( 2 + 6 = 8 \)
- Hundreds: \( 2 + 0 = 2 \)

Total: 288

#### Equation 3: \( 690 + 208 \)
\[
\begin{array}{r}
690 \\
+ 208 \\
\hline
898 \\
\end{array}
\]
- Ones: \( 0 + 8 = 8 \)
- Tens: \( 9 + 0 = 9 \)
- Hundreds: \( 6 + 2 = 8 \)

Total: 898

#### Equation 4: \( 421 + 116 \)
\[
\begin{array}{r}
421 \\
+ 116 \\
\hline
537 \\
\end{array}
\]
- Ones: \( 1 + 6 = 7 \)
- Tens: \( 2 + 1 = 3 \)
- Hundreds: \( 4 + 1 = 5 \)

Total: 537

#### Equation 5: \( 326 + 642 \)
\[
\begin{array}{r}
326 \\
+ 642 \\
\hline
968 \\
\end{array}
\]
- Ones: \( 6 + 2 = 8 \)
- Tens: \( 2 + 4 = 6 \)
- Hundreds: \( 3 + 6 = 9 \)

Total: 968

#### Equation 6: \( 271 + 401 \)
\[
\begin{array}{r}
271 \\
+ 401 \\
\hline
672 \\
\end{array}
\]
- Ones: \( 1 + 1 = 2 \)
- Tens: \( 7 + 0 = 7 \)
- Hundreds: \( 2 + 4 = 6 \)

Total: 672

#### Equation 7: \( 343 + 120 \)
\[
\begin{array}{r}
343 \\
+ 120 \\
\hline
463 \\
\end{array}
\]
- Ones: \( 3 + 0 = 3 \)
- Tens: \( 4 + 2 = 6 \)
- Hundreds: \( 3 + 1 = 4 \)

Total: 463

#### Equation 8: \( 501 + 123 \)
\[
\begin{array}{r}
501 \\
+ 123 \\
\hline
624 \\
\end{array}
\]
- Ones: \( 1 + 3 = 4 \)
- Tens: \( 0 + 2 = 2 \)
- Hundreds: \( 5 + 1 = 6 \)

Total: 624

#### Equation 9: \( 205 + 503 \)
\[
\begin{array}{r}
205 \\
+ 503 \\
\hline
708 \\
\end{array}
\]
- Ones: \( 5 + 3 = 8 \)
- Tens: \( 0 + 0 = 0 \)
- Hundreds: \( 2 + 5 = 7 \)

Total: 708

#### Equation 10: \( 307 + 511 \)
\[
\begin{array}{r}
307 \\
+ 511 \\
\hline
818 \\
\end{array}
\]
- Ones: \( 7 + 1 = 8 \)
- Tens: \( 0 + 1 = 1 \)
- Hundreds: \( 3 + 5 = 8 \)

Total: 818

#### Equation 11: \( 111 + 532 \)
\[
\begin{array}{r}
111 \\
+ 532 \\
\hline
643 \\
\end{array}
\]
- Ones: \( 1 + 2 = 3 \)
- Tens: \( 1 + 3 = 4 \)
- Hundreds: \( 1 + 5 = 6 \)

Total: 643

#### Equation 12: \( 504 + 415 \)
\[
\begin{array}{r}
504 \\
+ 415 \\
\hline
919 \\
\end{array}
\]
- Ones: \( 4 + 5 = 9 \)
- Tens: \( 0 + 1 = 1 \)
- Hundreds: \( 5 + 4 = 9 \)

Total: 919

#### Equation 13: \( 640 + 142 \)
\[
\begin{array}{r}
640 \\
+ 142 \\
\hline
782 \\
\end{array}
\]
- Ones: \( 0 + 2 = 2 \)
- Tens: \( 4 + 4 = 8 \)
- Hundreds: \( 6 + 1 = 7 \)

Total: 782

#### Equation 14: \( 410 + 536 \)
\[
\begin{array}{r}
410 \\
+ 536 \\
\hline
946 \\
\end{array}
\]
- Ones: \( 0 + 6 = 6 \)
- Tens: \( 1 + 3 = 4 \)
- Hundreds: \( 4 + 5 = 9 \)

Total: 946

#### Equation 15: \( 213 + 250 \)
\[
\begin{array}{r}
213 \\
+ 250 \\
\hline
463 \\
\end{array}
\]
- Ones: \( 3 + 0 = 3 \)
- Tens: \( 1 + 5 = 6 \)
- Hundreds: \( 2 + 2 = 4 \)

Total: 463

Final Answer:

\[
\boxed{
\begin{array}{ccc}
697 & 288 & 898 \\
537 & 968 & 672 \\
463 & 624 & 708 \\
818 & 643 & 919 \\
782 & 946 & 463 \\
\end{array}
}
\]