Practice table helping students convert numbers across standard, expanded, and word forms.
Math worksheet table for converting numbers between standard, expanded, and word forms.
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Step-by-step solution for: Standard, Expanded, Word form math worksheet (Valentines Day) by ...
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Show Answer Key & Explanations
Step-by-step solution for: Standard, Expanded, Word form math worksheet (Valentines Day) by ...
To solve the problem, we need to fill in the missing entries in the table based on the given information. Let's break it down step by step.
- Standard: The standard numerical form of the number.
- Expanded: The expanded form of the number (e.g., \(500 + 9\)).
- Word: The word form of the number (e.g., "Two hundred and seventy one").
1. Row 1:
- Standard: 509
- Expanded: Not given
- Word: Two hundred and seventy one
2. Row 2:
- Standard: Not given
- Expanded: \(700 + 40 + 2\)
- Word: Three hundred and nine
3. Row 3:
- Standard: 243
- Expanded: Not given
- Word: One hundred and fifty
4. Row 4:
- Standard: Not given
- Expanded: \(600 + 30 + 7\)
- Word: Nine hundred forty seven
5. Row 5:
- Standard: 532
- Expanded: Not given
- Word: Not given
6. Row 6:
- Standard: Not given
- Expanded: \(800 + 70 + 3\)
- Word: Nine hundred forty seven
7. Row 7:
- Standard: 112
- Expanded: Not given
- Word: Not given
#### Row 1:
- Standard: 509
- Expanded: To find the expanded form, break down 509 into hundreds, tens, and ones:
\[
509 = 500 + 0 + 9
\]
- Word: Two hundred and seventy one (already given).
#### Row 2:
- Standard: To find the standard form, sum the expanded form:
\[
700 + 40 + 2 = 742
\]
- Expanded: \(700 + 40 + 2\) (already given).
- Word: Three hundred and nine (already given).
#### Row 3:
- Standard: 243
- Expanded: To find the expanded form, break down 243 into hundreds, tens, and ones:
\[
243 = 200 + 40 + 3
\]
- Word: One hundred and fifty (already given).
#### Row 4:
- Standard: To find the standard form, sum the expanded form:
\[
600 + 30 + 7 = 637
\]
- Expanded: \(600 + 30 + 7\) (already given).
- Word: Nine hundred forty seven (already given).
#### Row 5:
- Standard: 532
- Expanded: To find the expanded form, break down 532 into hundreds, tens, and ones:
\[
532 = 500 + 30 + 2
\]
- Word: Five hundred and thirty two.
#### Row 6:
- Standard: To find the standard form, sum the expanded form:
\[
800 + 70 + 3 = 873
\]
- Expanded: \(800 + 70 + 3\) (already given).
- Word: Nine hundred forty seven (already given).
#### Row 7:
- Standard: 112
- Expanded: To find the expanded form, break down 112 into hundreds, tens, and ones:
\[
112 = 100 + 10 + 2
\]
- Word: One hundred and twelve.
| Standard | Expanded | Word |
|----------|------------------|--------------------|
| 509 | \(500 + 0 + 9\) | Two hundred and seventy one |
| 742 | \(700 + 40 + 2\) | Three hundred and nine |
| 243 | \(200 + 40 + 3\) | One hundred and fifty |
| 637 | \(600 + 30 + 7\) | Nine hundred forty seven |
| 532 | \(500 + 30 + 2\) | Five hundred and thirty two|
| 873 | \(800 + 70 + 3\) | Nine hundred forty seven |
| 112 | \(100 + 10 + 2\) | One hundred and twelve |
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Standard} & \text{Expanded} & \text{Word} \\
\hline
509 & 500 + 0 + 9 & \text{Two hundred and seventy one} \\
\hline
742 & 700 + 40 + 2 & \text{Three hundred and nine} \\
\hline
243 & 200 + 40 + 3 & \text{One hundred and fifty} \\
\hline
637 & 600 + 30 + 7 & \text{Nine hundred forty seven} \\
\hline
532 & 500 + 30 + 2 & \text{Five hundred and thirty two} \\
\hline
873 & 800 + 70 + 3 & \text{Nine hundred forty seven} \\
\hline
112 & 100 + 10 + 2 & \text{One hundred and twelve} \\
\hline
\end{array}
}
\]
Table Structure:
- Standard: The standard numerical form of the number.
- Expanded: The expanded form of the number (e.g., \(500 + 9\)).
- Word: The word form of the number (e.g., "Two hundred and seventy one").
Given Information:
1. Row 1:
- Standard: 509
- Expanded: Not given
- Word: Two hundred and seventy one
2. Row 2:
- Standard: Not given
- Expanded: \(700 + 40 + 2\)
- Word: Three hundred and nine
3. Row 3:
- Standard: 243
- Expanded: Not given
- Word: One hundred and fifty
4. Row 4:
- Standard: Not given
- Expanded: \(600 + 30 + 7\)
- Word: Nine hundred forty seven
5. Row 5:
- Standard: 532
- Expanded: Not given
- Word: Not given
6. Row 6:
- Standard: Not given
- Expanded: \(800 + 70 + 3\)
- Word: Nine hundred forty seven
7. Row 7:
- Standard: 112
- Expanded: Not given
- Word: Not given
Step-by-Step Solution:
#### Row 1:
- Standard: 509
- Expanded: To find the expanded form, break down 509 into hundreds, tens, and ones:
\[
509 = 500 + 0 + 9
\]
- Word: Two hundred and seventy one (already given).
#### Row 2:
- Standard: To find the standard form, sum the expanded form:
\[
700 + 40 + 2 = 742
\]
- Expanded: \(700 + 40 + 2\) (already given).
- Word: Three hundred and nine (already given).
#### Row 3:
- Standard: 243
- Expanded: To find the expanded form, break down 243 into hundreds, tens, and ones:
\[
243 = 200 + 40 + 3
\]
- Word: One hundred and fifty (already given).
#### Row 4:
- Standard: To find the standard form, sum the expanded form:
\[
600 + 30 + 7 = 637
\]
- Expanded: \(600 + 30 + 7\) (already given).
- Word: Nine hundred forty seven (already given).
#### Row 5:
- Standard: 532
- Expanded: To find the expanded form, break down 532 into hundreds, tens, and ones:
\[
532 = 500 + 30 + 2
\]
- Word: Five hundred and thirty two.
#### Row 6:
- Standard: To find the standard form, sum the expanded form:
\[
800 + 70 + 3 = 873
\]
- Expanded: \(800 + 70 + 3\) (already given).
- Word: Nine hundred forty seven (already given).
#### Row 7:
- Standard: 112
- Expanded: To find the expanded form, break down 112 into hundreds, tens, and ones:
\[
112 = 100 + 10 + 2
\]
- Word: One hundred and twelve.
Final Table:
| Standard | Expanded | Word |
|----------|------------------|--------------------|
| 509 | \(500 + 0 + 9\) | Two hundred and seventy one |
| 742 | \(700 + 40 + 2\) | Three hundred and nine |
| 243 | \(200 + 40 + 3\) | One hundred and fifty |
| 637 | \(600 + 30 + 7\) | Nine hundred forty seven |
| 532 | \(500 + 30 + 2\) | Five hundred and thirty two|
| 873 | \(800 + 70 + 3\) | Nine hundred forty seven |
| 112 | \(100 + 10 + 2\) | One hundred and twelve |
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Standard} & \text{Expanded} & \text{Word} \\
\hline
509 & 500 + 0 + 9 & \text{Two hundred and seventy one} \\
\hline
742 & 700 + 40 + 2 & \text{Three hundred and nine} \\
\hline
243 & 200 + 40 + 3 & \text{One hundred and fifty} \\
\hline
637 & 600 + 30 + 7 & \text{Nine hundred forty seven} \\
\hline
532 & 500 + 30 + 2 & \text{Five hundred and thirty two} \\
\hline
873 & 800 + 70 + 3 & \text{Nine hundred forty seven} \\
\hline
112 & 100 + 10 + 2 & \text{One hundred and twelve} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of standard expanded and word form worksheet.