Match the Numbers worksheet for practicing standard, word, and expanded forms.
A math worksheet titled "Match the Numbers" with sections for Standard Form, Word Form, and Expanded Form, featuring numbers and phrases to be matched.
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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 of the same number are correctly aligned.
We are given:
- One number in Standard Form: `1,335`
- One number in Word Form: "Four thousand, seven hundred fifty-eight"
- One number in Expanded Form: `7,000 + 800 + 30 + 1`
We need to match these correctly across the three columns.
---
#### 1. Standard Form: `1,335`
- This is the number one thousand, three hundred thirty-five.
- Let's write it in word form:
→ "One thousand, three hundred thirty-five"
- Now, write it in expanded form:
→ 1,000 + 300 + 30 + 5
So:
- Standard Form: 1,335
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
#### 2. Word Form: "Four thousand, seven hundred fifty-eight"
- This is the number: 4,758
- Standard Form: 4,758
- Expanded Form: 4,000 + 700 + 50 + 8
#### 3. 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 represents the number: 7,831
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
---
Now we have three numbers:
| Number | Standard Form | Word Form | Expanded Form |
|--------|----------------|------------|----------------|
| A | 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
| B | 4,758 | Four thousand, seven hundred fifty-eight | 4,000 + 700 + 50 + 8 |
| C | 7,831 | Seven thousand, eight hundred thirty-one | 7,000 + 800 + 30 + 1 |
But in the worksheet, only one standard form (`1,335`) and one expanded form (`7,000 + 800 + 30 + 1`) are filled in, and one word form ("Four thousand, seven hundred fifty-eight") is filled in.
So we must match the given entries correctly.
Let’s look at what’s already provided:
- Standard Form: `1,335` → this belongs with its own word and expanded form
- Word Form: "Four thousand, seven hundred fifty-eight" → this is 4,758
- Expanded Form: `7,000 + 800 + 30 + 1` → this is 7,831
So none of these three numbers are the same — they are all different. But the task says to match them so that each row has a correct set.
That means there are three separate rows, each containing one number in all three forms.
But currently, only one entry per column is filled in.
Wait — looking at the layout:
```
Standard Form Word Form Expanded Form
[blank] "Four thousand..." [blank]
[blank] [blank] 7,000 + 800 + 30 + 1
1,335 [blank] [blank]
```
So there are three rows, and we need to fill in the blanks so that each row has matching standard, word, and expanded forms.
We know:
- Row 1: Word form = "Four thousand, seven hundred fifty-eight" → 4,758
→ So Standard Form = 4,758
→ Expanded Form = 4,000 + 700 + 50 + 8
- Row 2: Expanded Form = 7,000 + 800 + 30 + 1 = 7,831
→ Standard Form = 7,831
→ Word Form = "Seven thousand, eight hundred thirty-one"
- Row 3: Standard Form = 1,335
→ Word Form = "One thousand, three hundred thirty-five"
→ Expanded Form = 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 |
---
Cut out the answers from the second page (which would include these values) and paste them into the correct boxes.
So the solution is:
- In the first row:
- Standard Form: 4,758
- Word Form: Four thousand, seven hundred fifty-eight (already given)
- Expanded Form: 4,000 + 700 + 50 + 8
- In the second row:
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
- Expanded Form: 7,000 + 800 + 30 + 1 (already given)
- In the third row:
- Standard Form: 1,335 (already given)
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
✔ All three numbers are now matched correctly.
---
| 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 |
This completes the matching.
We are given:
- One number in Standard Form: `1,335`
- One number in Word Form: "Four thousand, seven hundred fifty-eight"
- One number in Expanded Form: `7,000 + 800 + 30 + 1`
We need to match these correctly across the three columns.
---
Step 1: Analyze the Given Numbers
#### 1. Standard Form: `1,335`
- This is the number one thousand, three hundred thirty-five.
- Let's write it in word form:
→ "One thousand, three hundred thirty-five"
- Now, write it in expanded form:
→ 1,000 + 300 + 30 + 5
So:
- Standard Form: 1,335
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
#### 2. Word Form: "Four thousand, seven hundred fifty-eight"
- This is the number: 4,758
- Standard Form: 4,758
- Expanded Form: 4,000 + 700 + 50 + 8
#### 3. 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 represents the number: 7,831
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
---
Now we have three numbers:
| Number | Standard Form | Word Form | Expanded Form |
|--------|----------------|------------|----------------|
| A | 1,335 | One thousand, three hundred thirty-five | 1,000 + 300 + 30 + 5 |
| B | 4,758 | Four thousand, seven hundred fifty-eight | 4,000 + 700 + 50 + 8 |
| C | 7,831 | Seven thousand, eight hundred thirty-one | 7,000 + 800 + 30 + 1 |
But in the worksheet, only one standard form (`1,335`) and one expanded form (`7,000 + 800 + 30 + 1`) are filled in, and one word form ("Four thousand, seven hundred fifty-eight") is filled in.
So we must match the given entries correctly.
Let’s look at what’s already provided:
- Standard Form: `1,335` → this belongs with its own word and expanded form
- Word Form: "Four thousand, seven hundred fifty-eight" → this is 4,758
- Expanded Form: `7,000 + 800 + 30 + 1` → this is 7,831
So none of these three numbers are the same — they are all different. But the task says to match them so that each row has a correct set.
That means there are three separate rows, each containing one number in all three forms.
But currently, only one entry per column is filled in.
Wait — looking at the layout:
```
Standard Form Word Form Expanded Form
[blank] "Four thousand..." [blank]
[blank] [blank] 7,000 + 800 + 30 + 1
1,335 [blank] [blank]
```
So there are three rows, and we need to fill in the blanks so that each row has matching standard, word, and expanded forms.
We know:
- Row 1: Word form = "Four thousand, seven hundred fifty-eight" → 4,758
→ So Standard Form = 4,758
→ Expanded Form = 4,000 + 700 + 50 + 8
- Row 2: Expanded Form = 7,000 + 800 + 30 + 1 = 7,831
→ Standard Form = 7,831
→ Word Form = "Seven thousand, eight hundred thirty-one"
- Row 3: Standard Form = 1,335
→ Word Form = "One thousand, three hundred thirty-five"
→ Expanded Form = 1,000 + 300 + 30 + 5
---
Final Matching:
| 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 |
---
Instructions for Student:
Cut out the answers from the second page (which would include these values) and paste them into the correct boxes.
So the solution is:
- In the first row:
- Standard Form: 4,758
- Word Form: Four thousand, seven hundred fifty-eight (already given)
- Expanded Form: 4,000 + 700 + 50 + 8
- In the second row:
- Standard Form: 7,831
- Word Form: Seven thousand, eight hundred thirty-one
- Expanded Form: 7,000 + 800 + 30 + 1 (already given)
- In the third row:
- Standard Form: 1,335 (already given)
- Word Form: One thousand, three hundred thirty-five
- Expanded Form: 1,000 + 300 + 30 + 5
✔ All three numbers are now matched correctly.
---
Summary of Answers:
| 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 |
This completes the matching.
Parent Tip: Review the logic above to help your child master the concept of expanded and standard form worksheet.