Problem Description:
The task is to match each expanded notation expression on the left with its corresponding standard form number on the right. Expanded notation breaks down a number into its place values (hundreds, tens, ones, etc.), and the goal is to sum these components to find the total value.
Solution Approach:
1.
Understand Expanded Notation: Each expression on the left represents a number broken down into its place values. For example, \( 80 + 600 + 4 \) means:
- 80 is in the tens place,
- 600 is in the hundreds place,
- 4 is in the ones place.
Summing these gives the standard form of the number.
2.
Calculate Each Expression:
- Add the components of each expanded notation expression to find the total value.
- Match the calculated value with the corresponding number on the right.
3.
Perform the Calculations:
-
Expression 1: \( 80 + 600 + 4 \)
\[
80 + 600 + 4 = 684
\]
-
Expression 2: \( 1 + 700 + 50 \)
\[
1 + 700 + 50 = 751
\]
-
Expression 3: \( 400 + 90 \)
\[
400 + 90 = 490
\]
-
Expression 4: \( 9 + 100 \)
\[
9 + 100 = 109
\]
-
Expression 5: \( 3 + 10 + 600 \)
\[
3 + 10 + 600 = 613
\]
-
Expression 6: \( 30 + 5 + 800 \)
\[
30 + 5 + 800 = 835
\]
-
Expression 7: \( 6 + 30 \)
\[
6 + 30 = 36
\]
-
Expression 8: \( 20 + 900 \)
\[
20 + 900 = 920
\]
-
Expression 9: \( 200 + 7 \)
\[
200 + 7 = 207
\]
-
Expression 10: \( 500 + 8 + 60 \)
\[
500 + 8 + 60 = 568
\]
4.
Match the Results:
- \( 80 + 600 + 4 \) → 684
- \( 1 + 700 + 50 \) → 751
- \( 400 + 90 \) → 490
- \( 9 + 100 \) → 109
- \( 3 + 10 + 600 \) → 613
- \( 30 + 5 + 800 \) → 835
- \( 6 + 30 \) → 36
- \( 20 + 900 \) → 920
- \( 200 + 7 \) → 207
- \( 500 + 8 + 60 \) → 568
Final Answer:
\[
\boxed{
\begin{aligned}
&80 + 600 + 4 \rightarrow 684 \\
&1 + 700 + 50 \rightarrow 751 \\
&400 + 90 \rightarrow 490 \\
&9 + 100 \rightarrow 109 \\
&3 + 10 + 600 \rightarrow 613 \\
&30 + 5 + 800 \rightarrow 835 \\
&6 + 30 \rightarrow 36 \\
&20 + 900 \rightarrow 920 \\
&200 + 7 \rightarrow 207 \\
&500 + 8 + 60 \rightarrow 568
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of expanded for worksheet.
