Representing Numbers: Standard Form, Word Form, and Expanded Form ... - Free Printable
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Step-by-step solution for: Representing Numbers: Standard Form, Word Form, and Expanded Form ...
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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, "Four thousand, seven hundred fifty-eight" = 4,758 (Standard Form)
---
> `7,000 + 800 + 30 + 1`
Add them up:
- 7,000 + 800 = 7,800
- 7,800 + 30 = 7,830
- 7,830 + 1 = 7,831
✔ So, this expanded form equals 7,831 (Standard Form)
---
> `1,335`
Now we know:
- 1,335 → needs its word and expanded forms
- 4,758 → from the word form
- 7,831 → from the expanded form
So, we now have three numbers:
- 1,335
- 4,758
- 7,831
But only one of each form is shown. We need to match them.
Let’s fill in the table accordingly.
---
#### Row 1:
- Word Form: "Four thousand, seven hundred fifty-eight" → 4,758
- So, Standard Form should be: 4,758
- Expanded Form should be: 4,000 + 700 + 50 + 8 = 4,000 + 700 + 50 + 8
#### Row 2:
- Expanded Form: 7,000 + 800 + 30 + 1 = 7,831
- So, Standard Form = 7,831
- Word Form = "Seven thousand, eight hundred thirty-one"
#### Row 3:
- Standard Form: 1,335
- So, Word Form = "One thousand, three hundred thirty-five"
- Expanded Form = 1,000 + 300 + 30 + 5 = 1,000 + 300 + 30 + 5
---
| Standard Form | Word Form | Expanded Form |
|---------------|-------------------------------|--------------------------------|
| 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 |
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
---
The layout shows:
- Only one standard form given: `1,335` (in the bottom left)
- One word form given: "Four thousand, seven hundred fifty-eight" (middle column, top)
- One expanded form given: `7,000 + 800 + 30 + 1` (right column, middle)
And there are blank boxes for others.
So, you're supposed to cut and paste the correct matches from a second page (not shown).
Therefore, based on what’s visible, the matching is:
---
1. Standard Form: `1,335`
→ Word Form: "One thousand, three hundred thirty-five"
→ Expanded Form: `1,000 + 300 + 30 + 5`
2. Standard Form: `4,758`
→ Word Form: "Four thousand, seven hundred fifty-eight"
→ Expanded Form: `4,000 + 700 + 50 + 8`
3. Standard Form: `7,831`
→ Word Form: "Seven thousand, eight hundred thirty-one"
→ Expanded Form: `7,000 + 800 + 30 + 1`
---
| Standard Form | Word Form | Expanded Form |
|---------------|-------------------------------|--------------------------------|
| 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 |
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
So, when pasting:
- Paste `4,758` into the first blank under Standard Form.
- Paste `7,831` into the second blank under Standard Form.
- Paste `1,335` into the third (already given).
- Paste the corresponding word and expanded forms accordingly.
---
You must match:
- "Four thousand, seven hundred fifty-eight" ↔ 4,758 ↔ 4,000 + 700 + 50 + 8
- 7,000 + 800 + 30 + 1 ↔ 7,831 ↔ "Seven thousand, eight hundred thirty-one"
- 1,335 ↔ "One thousand, three hundred thirty-five" ↔ 1,000 + 300 + 30 + 5
That completes the matching!
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, "Four thousand, seven hundred fifty-eight" = 4,758 (Standard Form)
---
Step 2: Analyze the Expanded Form
> `7,000 + 800 + 30 + 1`
Add them up:
- 7,000 + 800 = 7,800
- 7,800 + 30 = 7,830
- 7,830 + 1 = 7,831
✔ So, this expanded form equals 7,831 (Standard Form)
---
Step 3: Look at the Given Standard Form
> `1,335`
Now we know:
- 1,335 → needs its word and expanded forms
- 4,758 → from the word form
- 7,831 → from the expanded form
So, we now have three numbers:
- 1,335
- 4,758
- 7,831
But only one of each form is shown. We need to match them.
Let’s fill in the table accordingly.
---
Now Match Each Row:
#### Row 1:
- Word Form: "Four thousand, seven hundred fifty-eight" → 4,758
- So, Standard Form should be: 4,758
- Expanded Form should be: 4,000 + 700 + 50 + 8 = 4,000 + 700 + 50 + 8
#### Row 2:
- Expanded Form: 7,000 + 800 + 30 + 1 = 7,831
- So, Standard Form = 7,831
- Word Form = "Seven thousand, eight hundred thirty-one"
#### Row 3:
- Standard Form: 1,335
- So, Word Form = "One thousand, three hundred thirty-five"
- Expanded Form = 1,000 + 300 + 30 + 5 = 1,000 + 300 + 30 + 5
---
Final Matching Table:
| Standard Form | Word Form | Expanded Form |
|---------------|-------------------------------|--------------------------------|
| 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 |
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
---
But Wait — In the Image:
The layout shows:
- Only one standard form given: `1,335` (in the bottom left)
- One word form given: "Four thousand, seven hundred fifty-eight" (middle column, top)
- One expanded form given: `7,000 + 800 + 30 + 1` (right column, middle)
And there are blank boxes for others.
So, you're supposed to cut and paste the correct matches from a second page (not shown).
Therefore, based on what’s visible, the matching is:
---
✔ Correct Matches:
1. Standard Form: `1,335`
→ Word Form: "One thousand, three hundred thirty-five"
→ Expanded Form: `1,000 + 300 + 30 + 5`
2. Standard Form: `4,758`
→ Word Form: "Four thousand, seven hundred fifty-eight"
→ Expanded Form: `4,000 + 700 + 50 + 8`
3. Standard Form: `7,831`
→ Word Form: "Seven thousand, eight hundred thirty-one"
→ Expanded Form: `7,000 + 800 + 30 + 1`
---
Final Answer (How to Fill the Table):
| Standard Form | Word Form | Expanded Form |
|---------------|-------------------------------|--------------------------------|
| 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 |
| 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
So, when pasting:
- Paste `4,758` into the first blank under Standard Form.
- Paste `7,831` into the second blank under Standard Form.
- Paste `1,335` into the third (already given).
- Paste the corresponding word and expanded forms accordingly.
---
Summary:
You must match:
- "Four thousand, seven hundred fifty-eight" ↔ 4,758 ↔ 4,000 + 700 + 50 + 8
- 7,000 + 800 + 30 + 1 ↔ 7,831 ↔ "Seven thousand, eight hundred thirty-one"
- 1,335 ↔ "One thousand, three hundred thirty-five" ↔ 1,000 + 300 + 30 + 5
That completes the matching!
Parent Tip: Review the logic above to help your child master the concept of standard form and expanded form worksheet.