Problem Description:
The task involves solving
4-digit addition problems with no regrouping. This means that when adding the digits in each column, the sum should not exceed 9, so there is no need to carry over any values to the next column.
Solution Approach:
1.
Understand the Task: Add the numbers in each problem without carrying over any digits.
2.
Check for No Regrouping: Ensure that the sum of digits in each column does not exceed 9.
3.
Perform Addition: Add the numbers column by column (from right to left).
Step-by-Step Solution:
#### Problem 1:
\[
\begin{array}{cccc}
& 4 & 2 & 8 & 3 \\
+ & 5 & 1 & 1 & 2 \\
\hline
\end{array}
\]
-
Units place: \(3 + 2 = 5\)
-
Tens place: \(8 + 1 = 9\)
-
Hundreds place: \(2 + 1 = 3\)
-
Thousands place: \(4 + 5 = 9\)
Result: \(9395\)
#### Problem 2:
\[
\begin{array}{cccc}
& 6 & 1 & 8 & 0 \\
+ & 3 & 7 & 1 & 2 \\
\hline
\end{array}
\]
-
Units place: \(0 + 2 = 2\)
-
Tens place: \(8 + 1 = 9\)
-
Hundreds place: \(1 + 7 = 8\)
-
Thousands place: \(6 + 3 = 9\)
Result: \(9892\)
#### Problem 3:
\[
\begin{array}{cccc}
& 1 & 0 & 6 & 3 \\
+ & 1 & 7 & 3 & 0 \\
\hline
\end{array}
\]
-
Units place: \(3 + 0 = 3\)
-
Tens place: \(6 + 3 = 9\)
-
Hundreds place: \(0 + 7 = 7\)
-
Thousands place: \(1 + 1 = 2\)
Result: \(2793\)
#### Problem 4:
\[
\begin{array}{cccc}
& 5 & 7 & 6 & 9 \\
+ & 4 & 2 & 0 & 0 \\
\hline
\end{array}
\]
-
Units place: \(9 + 0 = 9\)
-
Tens place: \(6 + 0 = 6\)
-
Hundreds place: \(7 + 2 = 9\)
-
Thousands place: \(5 + 4 = 9\)
Result: \(9969\)
#### Problem 5:
\[
\begin{array}{cccc}
& 8 & 2 & 6 & 1 \\
+ & 1 & 7 & 2 & 3 \\
\hline
\end{array}
\]
-
Units place: \(1 + 3 = 4\)
-
Tens place: \(6 + 2 = 8\)
-
Hundreds place: \(2 + 7 = 9\)
-
Thousands place: \(8 + 1 = 9\)
Result: \(9984\)
#### Problem 6:
\[
\begin{array}{cccc}
& 3 & 3 & 3 & 3 \\
+ & 3 & 2 & 1 & 0 \\
\hline
\end{array}
\]
-
Units place: \(3 + 0 = 3\)
-
Tens place: \(3 + 1 = 4\)
-
Hundreds place: \(3 + 2 = 5\)
-
Thousands place: \(3 + 3 = 6\)
Result: \(6543\)
Final Answers:
\[
\boxed{
\begin{array}{c}
9395 \\
9892 \\
2793 \\
9969 \\
9984 \\
6543 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4 digit addition worksheet for.