Problem Description:
The task involves solving addition problems using the place value system (Hundreds, Tens, Ones). Each problem is presented in a grid format, and we need to add the numbers column by column (starting from the Ones place) and carry over any values as needed.
Solution:
####
First Row:
1.
Problem 1:
\[
\begin{array}{c@{}c@{}c}
& 2 & 3 & 1 \\
+ & 4 & 2 & 5 \\
\hline
& 6 & 5 & 6 \\
\end{array}
\]
-
Ones: \(1 + 5 = 6\)
-
Tens: \(3 + 2 = 5\)
-
Hundreds: \(2 + 4 = 6\)
- Result:
656
2.
Problem 2:
\[
\begin{array}{c@{}c@{}c}
& 5 & 7 & 1 \\
+ & 1 & 2 & 4 \\
\hline
& 6 & 9 & 5 \\
\end{array}
\]
-
Ones: \(1 + 4 = 5\)
-
Tens: \(7 + 2 = 9\)
-
Hundreds: \(5 + 1 = 6\)
- Result:
695
3.
Problem 3:
\[
\begin{array}{c@{}c@{}c}
& 1 & 0 & 1 \\
+ & 7 & 2 & 8 \\
\hline
& 8 & 2 & 9 \\
\end{array}
\]
-
Ones: \(1 + 8 = 9\)
-
Tens: \(0 + 2 = 2\)
-
Hundreds: \(1 + 7 = 8\)
- Result:
829
####
Second Row:
4.
Problem 4:
\[
\begin{array}{c@{}c@{}c}
& 2 & 4 & 6 \\
+ & 6 & 2 & 3 \\
\hline
& 8 & 6 & 9 \\
\end{array}
\]
-
Ones: \(6 + 3 = 9\)
-
Tens: \(4 + 2 = 6\)
-
Hundreds: \(2 + 6 = 8\)
- Result:
869
5.
Problem 5:
\[
\begin{array}{c@{}c@{}c}
& 3 & 3 & 1 \\
+ & 4 & 1 & 4 \\
\hline
& 7 & 4 & 5 \\
\end{array}
\]
-
Ones: \(1 + 4 = 5\)
-
Tens: \(3 + 1 = 4\)
-
Hundreds: \(3 + 4 = 7\)
- Result:
745
6.
Problem 6:
\[
\begin{array}{c@{}c@{}c}
& 4 & 9 & 1 \\
+ & 1 & 0 & 8 \\
\hline
& 5 & 9 & 9 \\
\end{array}
\]
-
Ones: \(1 + 8 = 9\)
-
Tens: \(9 + 0 = 9\)
-
Hundreds: \(4 + 1 = 5\)
- Result:
599
####
Third Row:
7.
Problem 7:
\[
\begin{array}{c@{}c@{}c}
& 6 & 7 & 1 \\
+ & 2 & 2 & 0 \\
\hline
& 8 & 9 & 1 \\
\end{array}
\]
-
Ones: \(1 + 0 = 1\)
-
Tens: \(7 + 2 = 9\)
-
Hundreds: \(6 + 2 = 8\)
- Result:
891
8.
Problem 8:
\[
\begin{array}{c@{}c@{}c}
& 7 & 2 & 0 \\
+ & 1 & 6 & 8 \\
\hline
& 8 & 8 & 8 \\
\end{array}
\]
-
Ones: \(0 + 8 = 8\)
-
Tens: \(2 + 6 = 8\)
-
Hundreds: \(7 + 1 = 8\)
- Result:
888
9.
Problem 9:
\[
\begin{array}{c@{}c@{}c}
& 8 & 5 & 1 \\
+ & & 4 & 7 \\
\hline
& 8 & 9 & 8 \\
\end{array}
\]
-
Ones: \(1 + 7 = 8\)
-
Tens: \(5 + 4 = 9\)
-
Hundreds: \(8 + 0 = 8\) (since there is no hundreds digit in the second number)
- Result:
898
Final Answers:
\[
\boxed{
\begin{array}{ccc}
656 & 695 & 829 \\
869 & 745 & 599 \\
891 & 888 & 898 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value addition worksheet.
