Math worksheet for matching numbers in standard, word, and expanded forms.
A math worksheet titled "Match the Numbers" with sections for Standard Form, Word Form, and Expanded Form, featuring examples like "Four thousand, seven hundred fifty-eight" and "7,000 + 800 + 30 + 1".
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Show Answer Key & Explanations
Step-by-step solution for: Representing Numbers: Standard Form, Word Form, and Expanded Form ...
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Show Answer Key & Explanations
Step-by-step solution for: Representing Numbers: Standard Form, Word Form, and Expanded Form ...
Let's solve the "Match the Numbers" problem step by step. The goal is to match each number in Standard Form, Word Form, and Expanded Form so that all three representations refer to the same number.
We are given:
- One Standard Form: `1,335`
- One Word Form: "Four thousand, seven hundred fifty-eight"
- One Expanded Form: `7,000 + 800 + 30 + 1`
We need to match these correctly across the three columns.
---
> "Four thousand, seven hundred fifty-eight"
This means:
- 4 thousands = 4,000
- 7 hundreds = 700
- 5 tens = 50
- 8 ones = 8
So, the number is:
> 4,000 + 700 + 50 + 8 = 4,758
✔ So, Word Form → 4,758
---
> `7,000 + 800 + 30 + 1`
Add them:
- 7,000 + 800 = 7,800
- 7,800 + 30 = 7,830
- 7,830 + 1 = 7,831
✔ So, Expanded Form → 7,831
---
> `1,335`
We now know:
- 1,335 is not equal to 4,758 or 7,831
So, we must match the correct forms for each number.
But here’s the key: There are three numbers being matched — one per row. We have:
- One standard form already filled: 1,335
- One word form: "Four thousand, seven hundred fifty-eight" → 4,758
- One expanded form: `7,000 + 800 + 30 + 1` → 7,831
So, we need to complete the table with the missing forms for each of these three numbers.
Let’s create a table of what we know:
| Standard Form | Word Form | Expanded Form |
|---------------|-----------|----------------|
| 1,335 | ? | ? |
| ? | 4,758 | ? |
| ? | ? | 7,831 |
Now, let’s fill in the missing parts.
---
Break down 1,335:
- 1 thousand = 1,000
- 3 hundreds = 300
- 3 tens = 30
- 5 ones = 5
So:
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
✔ So, for 1,335:
- Word: One thousand, three hundred thirty-five
- Expanded: 1,000 + 300 + 30 + 5
---
Break down 4,758:
- 4,000 + 700 + 50 + 8
So:
- Standard Form: 4,758
- Expanded Form: 4,000 + 700 + 50 + 8
✔ So, for 4,758:
- Standard: 4,758
- Expanded: 4,000 + 700 + 50 + 8
---
So:
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
✔ So, for 7,831:
- Standard: 7,831
- Word: Seven thousand, eight hundred thirty-one
---
| Standard Form | Word Form | Expanded Form |
|---------------|-----------------------------------|-----------------------------|
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
| 4,758 | Four thousand, seven hundred fifty-eight | 4,000 + 700 + 50 + 8 |
| 7,831 | Seven thousand, eight hundred thirty-one | 7,000 + 800 + 30 + 1 |
---
Since the worksheet says to cut and paste from a second page, the student should:
1. Find the Standard Form card for 1,335 → place it under the first row.
2. Find the Word Form card for One thousand, three hundred thirty-five → place it in the first row.
3. Find the Expanded Form card for 1,000 + 300 + 30 + 5 → place it in the first row.
Repeat for the other two rows.
---
- 1,335 ↔ One thousand, three hundred thirty-five ↔ 1,000 + 300 + 30 + 5
- 4,758 ↔ Four thousand, seven hundred fifty-eight ↔ 4,000 + 700 + 50 + 8
- 7,831 ↔ Seven thousand, eight hundred thirty-one ↔ 7,000 + 800 + 30 + 1
These are the correct matches.
We are given:
- One Standard Form: `1,335`
- One Word Form: "Four thousand, seven hundred fifty-eight"
- One Expanded Form: `7,000 + 800 + 30 + 1`
We need to match these correctly across the three columns.
---
Step 1: Analyze the Word Form
> "Four thousand, seven hundred fifty-eight"
This means:
- 4 thousands = 4,000
- 7 hundreds = 700
- 5 tens = 50
- 8 ones = 8
So, the number is:
> 4,000 + 700 + 50 + 8 = 4,758
✔ So, Word Form → 4,758
---
Step 2: Analyze the Expanded Form
> `7,000 + 800 + 30 + 1`
Add them:
- 7,000 + 800 = 7,800
- 7,800 + 30 = 7,830
- 7,830 + 1 = 7,831
✔ So, Expanded Form → 7,831
---
Step 3: Look at the Standard Form Given
> `1,335`
We now know:
- 1,335 is not equal to 4,758 or 7,831
So, we must match the correct forms for each number.
But here’s the key: There are three numbers being matched — one per row. We have:
- One standard form already filled: 1,335
- One word form: "Four thousand, seven hundred fifty-eight" → 4,758
- One expanded form: `7,000 + 800 + 30 + 1` → 7,831
So, we need to complete the table with the missing forms for each of these three numbers.
Let’s create a table of what we know:
| Standard Form | Word Form | Expanded Form |
|---------------|-----------|----------------|
| 1,335 | ? | ? |
| ? | 4,758 | ? |
| ? | ? | 7,831 |
Now, let’s fill in the missing parts.
---
Row 1: Standard Form = 1,335
Break down 1,335:
- 1 thousand = 1,000
- 3 hundreds = 300
- 3 tens = 30
- 5 ones = 5
So:
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
✔ So, for 1,335:
- Word: One thousand, three hundred thirty-five
- Expanded: 1,000 + 300 + 30 + 5
---
Row 2: Word Form = Four thousand, seven hundred fifty-eight → 4,758
Break down 4,758:
- 4,000 + 700 + 50 + 8
So:
- Standard Form: 4,758
- Expanded Form: 4,000 + 700 + 50 + 8
✔ So, for 4,758:
- Standard: 4,758
- Expanded: 4,000 + 700 + 50 + 8
---
Row 3: Expanded Form = 7,000 + 800 + 30 + 1 → 7,831
So:
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
✔ So, for 7,831:
- Standard: 7,831
- Word: Seven thousand, eight hundred thirty-one
---
Final Matching Table
| Standard Form | Word Form | Expanded Form |
|---------------|-----------------------------------|-----------------------------|
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
| 4,758 | Four thousand, seven hundred fifty-eight | 4,000 + 700 + 50 + 8 |
| 7,831 | Seven thousand, eight hundred thirty-one | 7,000 + 800 + 30 + 1 |
---
Instructions for the Student (How to Fill It In)
Since the worksheet says to cut and paste from a second page, the student should:
1. Find the Standard Form card for 1,335 → place it under the first row.
2. Find the Word Form card for One thousand, three hundred thirty-five → place it in the first row.
3. Find the Expanded Form card for 1,000 + 300 + 30 + 5 → place it in the first row.
Repeat for the other two rows.
---
✔ Final Answer Summary:
- 1,335 ↔ One thousand, three hundred thirty-five ↔ 1,000 + 300 + 30 + 5
- 4,758 ↔ Four thousand, seven hundred fifty-eight ↔ 4,000 + 700 + 50 + 8
- 7,831 ↔ Seven thousand, eight hundred thirty-one ↔ 7,000 + 800 + 30 + 1
These are the correct matches.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet standard and expanded form.