Problem Description:
The task involves solving one-digit addition problems with regrouping. Regrouping (also known as carrying) occurs when the sum of two digits is 10 or more, and we need to carry over a digit to the next column.
Solution:
We will solve each addition problem step by step, showing the process of regrouping where necessary.
---
####
First Row:
1.
2 + 7:
- \( 2 + 7 = 9 \)
- No regrouping needed.
-
Answer: 9
2.
9 + 2:
- \( 9 + 2 = 11 \)
- Regroup: Write down 1 and carry over 1 to the next column.
-
Answer: 1 (carry over)
3.
7 + 5:
- \( 7 + 5 = 12 \)
- Regroup: Write down 2 and carry over 1 to the next column.
-
Answer: 2 (carry over)
4.
5 + 7:
- \( 5 + 7 = 12 \)
- Regroup: Write down 2 and carry over 1 to the next column.
-
Answer: 2 (carry over)
---
####
Second Row:
1.
3 + 8:
- \( 3 + 8 = 11 \)
- Regroup: Write down 1 and carry over 1 to the next column.
-
Answer: 1 (carry over)
2.
7 + 6:
- \( 7 + 6 = 13 \)
- Regroup: Write down 3 and carry over 1 to the next column.
-
Answer: 3 (carry over)
3.
4 + 5:
- \( 4 + 5 = 9 \)
- No regrouping needed.
-
Answer: 9
4.
8 + 3:
- \( 8 + 3 = 11 \)
- Regroup: Write down 1 and carry over 1 to the next column.
-
Answer: 1 (carry over)
---
####
Third Row:
1.
6 + 7:
- \( 6 + 7 = 13 \)
- Regroup: Write down 3 and carry over 1 to the next column.
-
Answer: 3 (carry over)
2.
8 + 1:
- \( 8 + 1 = 9 \)
- No regrouping needed.
-
Answer: 9
3.
2 + 5:
- \( 2 + 5 = 7 \)
- No regrouping needed.
-
Answer: 7
4.
2 + 8:
- \( 2 + 8 = 10 \)
- Regroup: Write down 0 and carry over 1 to the next column.
-
Answer: 0 (carry over)
---
Final Answers:
Combining all the results, we get:
- First row: 9, 11, 12, 12
- Second row: 11, 13, 9, 11
- Third row: 13, 9, 7, 10
In a more compact form:
\[
\begin{array}{cccc}
2 & 9 & 7 & 5 \\
+7 & +2 & +5 & +7 \\
\hline
9 & 11 & 12 & 12 \\
\end{array}
\]
\[
\begin{array}{cccc}
3 & 7 & 4 & 8 \\
+8 & +6 & +5 & +3 \\
\hline
11 & 13 & 9 & 11 \\
\end{array}
\]
\[
\begin{array}{cccc}
6 & 8 & 2 & 2 \\
+7 & +1 & +5 & +8 \\
\hline
13 & 9 & 7 & 10 \\
\end{array}
\]
Final Answer:
\[
\boxed{
\begin{array}{cccc}
9 & 11 & 12 & 12 \\
11 & 13 & 9 & 11 \\
13 & 9 & 7 & 10 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math addition.
