Problem Analysis:
The task requires matching numbers in three different forms:
1.
Standard Form: The number written in its numerical form (e.g., 1,335).
2.
Word Form: The number written out in words (e.g., "One thousand, three hundred thirty-five").
3.
Expanded Form: The number broken down into the sum of its place values (e.g., 1,000 + 300 + 30 + 5).
We are given some information and need to fill in the missing parts.
Given Information:
-
Word Form: "Four thousand, seven hundred fifty-eight"
-
Expanded Form: \(7,000 + 800 + 30 + 1\)
-
Standard Form: 1,335
Step-by-Step Solution:
#### 1. Match the Word Form to Standard and Expanded Forms:
- The
Word Form is "Four thousand, seven hundred fifty-eight."
- To convert this to
Standard Form, write it as a number:
4,758.
- To convert this to
Expanded Form, break it down by place value:
- Thousands: 4,000
- Hundreds: 700
- Tens: 50
- Ones: 8
- Therefore, the
Expanded Form is:
4,000 + 700 + 50 + 8.
#### 2. Match the Expanded Form to Standard and Word Forms:
- The
Expanded Form is given as: \(7,000 + 800 + 30 + 1\).
- To convert this to
Standard Form, add the values together:
\[
7,000 + 800 + 30 + 1 = 7,831
\]
So, the
Standard Form is
7,831.
- To convert this to
Word Form, write it out in words:
Seven thousand, eight hundred thirty-one.
#### 3. Match the Standard Form 1,335 to Word and Expanded Forms:
- The
Standard Form is given as
1,335.
- To convert this to
Word Form, write it out in words:
One thousand, three hundred thirty-five.
- To convert this to
Expanded Form, break it down by place value:
- Thousands: 1,000
- Hundreds: 300
- Tens: 30
- Ones: 5
- Therefore, the
Expanded Form is:
1,000 + 300 + 30 + 5.
Final Matches:
1.
Standard Form: 4,758
-
Word Form: Four thousand, seven hundred fifty-eight
-
Expanded Form: 4,000 + 700 + 50 + 8
2.
Standard Form: 7,831
-
Word Form: Seven thousand, eight hundred thirty-one
-
Expanded Form: 7,000 + 800 + 30 + 1
3.
Standard Form: 1,335
-
Word Form: One thousand, three hundred thirty-five
-
Expanded Form: 1,000 + 300 + 30 + 5
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Standard Form} & \text{Word Form} & \text{Expanded Form} \\
\hline
4,758 & \text{Four thousand, seven hundred fifty-eight} & 4,000 + 700 + 50 + 8 \\
\hline
7,831 & \text{Seven thousand, eight hundred thirty-one} & 7,000 + 800 + 30 + 1 \\
\hline
1,335 & \text{One thousand, three hundred thirty-five} & 1,000 + 300 + 30 + 5 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of expanded form to standard form worksheet.
