Problem Description:
The task involves solving addition problems with regrouping. Each problem consists of two numbers that need to be added together, and some of these additions will require carrying over (regrouping) digits from one column to the next.
Solution Approach:
1.
Understand Regrouping: When adding two numbers, if the sum of the digits in any column exceeds 9, we carry over the extra digit to the next higher place value.
2.
Solve Each Problem Step-by-Step:
- Add the digits in the ones place first.
- If the sum is 10 or more, write down the ones digit of the sum and carry over the tens digit to the next column.
- Add the digits in the tens place, including any carry-over from the previous step.
3.
Repeat for All Problems.
Step-by-Step Solutions:
####
First Row:
1.
64 + 38:
- Ones place: \( 4 + 8 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 6 + 3 + 1 (\text{carry-over}) = 10 \). Write down 10.
- Result:
102
2.
88 + 46:
- Ones place: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
- Tens place: \( 8 + 4 + 1 (\text{carry-over}) = 13 \). Write down 13.
- Result:
134
3.
46 + 55:
- Ones place: \( 6 + 5 = 11 \). Write down 1 and carry over 1.
- Tens place: \( 4 + 5 + 1 (\text{carry-over}) = 10 \). Write down 10.
- Result:
101
####
Second Row:
4.
79 + 49:
- Ones place: \( 9 + 9 = 18 \). Write down 8 and carry over 1.
- Tens place: \( 7 + 4 + 1 (\text{carry-over}) = 12 \). Write down 12.
- Result:
128
5.
43 + 37:
- Ones place: \( 3 + 7 = 10 \). Write down 0 and carry over 1.
- Tens place: \( 4 + 3 + 1 (\text{carry-over}) = 8 \). Write down 8.
- Result:
80
6.
37 + 64:
- Ones place: \( 7 + 4 = 11 \). Write down 1 and carry over 1.
- Tens place: \( 3 + 6 + 1 (\text{carry-over}) = 10 \). Write down 10.
- Result:
101
####
Third Row:
7.
38 + 56:
- Ones place: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
- Tens place: \( 3 + 5 + 1 (\text{carry-over}) = 9 \). Write down 9.
- Result:
94
8.
85 + 35:
- Ones place: \( 5 + 5 = 10 \). Write down 0 and carry over 1.
- Tens place: \( 8 + 3 + 1 (\text{carry-over}) = 12 \). Write down 12.
- Result:
120
9.
98 + 24:
- Ones place: \( 8 + 4 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 9 + 2 + 1 (\text{carry-over}) = 12 \). Write down 12.
- Result:
122
Final Answers:
\[
\begin{array}{ccc}
64 + 38 = 102 & 88 + 46 = 134 & 46 + 55 = 101 \\
79 + 49 = 128 & 43 + 37 = 80 & 37 + 64 = 101 \\
38 + 56 = 94 & 85 + 35 = 120 & 98 + 24 = 122 \\
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccc}
102 & 134 & 101 \\
128 & 80 & 101 \\
94 & 120 & 122 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet double digit addition with regrouping.
