Problem Overview:
The task involves solving a series of 3-digit addition problems and then using the results to solve a riddle. The additions are grouped into pairs, and each pair corresponds to a letter. After solving the additions, we match the sums to the letters in the riddle to reveal the answer.
Step-by-Step Solution:
####
1. Solve the Addition Problems:
We will solve each addition problem step by step.
#####
Pair P (745 + 539):
\[
\begin{array}{r}
745 \\
+ 539 \\
\hline
1284 \\
\end{array}
\]
- Sum:
1284
#####
Pair A (429 + 773):
\[
\begin{array}{r}
429 \\
+ 773 \\
\hline
1202 \\
\end{array}
\]
- Sum:
1202
#####
Pair G (639 + 880):
\[
\begin{array}{r}
639 \\
+ 880 \\
\hline
1519 \\
\end{array}
\]
- Sum:
1519
#####
Pair B (899 + 243):
\[
\begin{array}{r}
899 \\
+ 243 \\
\hline
1142 \\
\end{array}
\]
- Sum:
1142
#####
Pair E (753 + 287):
\[
\begin{array}{r}
753 \\
+ 287 \\
\hline
1040 \\
\end{array}
\]
- Sum:
1040
#####
Pair I (523 + 445):
\[
\begin{array}{r}
523 \\
+ 445 \\
\hline
968 \\
\end{array}
\]
- Sum:
968
#####
Pair S (432 + 98):
\[
\begin{array}{r}
432 \\
+ 98 \\
\hline
530 \\
\end{array}
\]
- Sum:
530
#####
Pair N (326 + 876):
\[
\begin{array}{r}
326 \\
+ 876 \\
\hline
1202 \\
\end{array}
\]
- Sum:
1202
#####
Pair L (456 + 22):
\[
\begin{array}{r}
456 \\
+ 22 \\
\hline
478 \\
\end{array}
\]
- Sum:
478
#####
Pair E (326 + 427):
\[
\begin{array}{r}
326 \\
+ 427 \\
\hline
753 \\
\end{array}
\]
- Sum:
753
#####
Pair L (428 + 98):
\[
\begin{array}{r}
428 \\
+ 98 \\
\hline
526 \\
\end{array}
\]
- Sum:
526
#####
Pair E (331 + 531):
\[
\begin{array}{r}
331 \\
+ 531 \\
\hline
862 \\
\end{array}
\]
- Sum:
862
####
2. Match the Sums to the Letters:
Now, we match the sums to the corresponding letters:
-
P: 1284
-
A: 1202
-
G: 1519
-
B: 1142
-
E: 1040
-
I: 968
-
S: 530
-
N: 1202
-
L: 478
-
E: 753
-
L: 526
-
E: 862
####
3. Solve the Riddle:
The riddle is: "What is even more amazing than a talking dog?"
The sums correspond to the following letters:
-
1284 → P
-
1202 → A
-
1519 → G
-
1142 → B
-
1040 → E
-
968 → I
-
530 → S
-
1202 → N
-
478 → L
-
753 → E
-
526 → L
-
862 → E
Using these letters, we form the word:
"PAGELINESELLE".
However, upon closer inspection, the intended answer seems to be a simpler phrase. Let's re-evaluate the matching:
- The unique sums and their corresponding letters should spell out the answer.
- The correct matching appears to be:
-
1284 → P
-
1202 → A
-
1519 → G
-
1142 → B
-
1040 → E
-
968 → I
-
530 → S
-
1202 → N
-
478 → L
-
753 → E
-
526 → L
-
862 → E
Reorganizing these letters, the answer is:
"PAGE LINE SELLE", which simplifies to
"PAGE LINE SELLE" or
"PAGE LINE SELLE".
Final Answer:
\[
\boxed{\text{A TALKING DOG WITH A PAGE-LINE SELLE}}
\]
Parent Tip: Review the logic above to help your child master the concept of adding 3 digit numbers with regrouping worksheet.