Standard and Expanded Form Worksheets - Free Printable
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Step-by-step solution for: Standard and Expanded Form Worksheets
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Step-by-step solution for: Standard and Expanded Form Worksheets
It looks like you've uploaded a worksheet titled "Standard and Expanded Form" that includes two sections:
1. Write in expanded form – Convert numbers from standard form to expanded form.
2. Write in standard form – Convert expressions from expanded form to standard form.
Since I can't view images directly, I’ll solve the problems based on the text you provided. Let's go through each problem step by step.
---
We need to break down each number into the sum of its place values.
#### 1) 873,409
Break it down by place value:
- 800,000 (hundred thousands)
- 70,000 (ten thousands)
- 3,000 (thousands)
- 400 (hundreds)
- 0 tens
- 9 ones
✔ Expanded form:
800,000 + 70,000 + 3,000 + 400 + 0 + 9
---
#### 2) 5,857
- 5,000 (thousands)
- 800 (hundreds)
- 50 (tens)
- 7 (ones)
✔ Expanded form:
5,000 + 800 + 50 + 7
---
#### 3) 18,761
- 10,000 (ten thousands)
- 8,000 (thousands)
- 700 (hundreds)
- 60 (tens)
- 1 (one)
✔ Expanded form:
10,000 + 8,000 + 700 + 60 + 1
---
#### 4) 398,003
- 300,000 (hundred thousands)
- 90,000 (ten thousands)
- 8,000 (thousands)
- 0 hundreds
- 0 tens
- 3 ones
✔ Expanded form:
300,000 + 90,000 + 8,000 + 0 + 0 + 3
Or simplified:
300,000 + 90,000 + 8,000 + 3
---
#### 5) 7,419
- 7,000 (thousands)
- 400 (hundreds)
- 10 (tens)
- 9 (ones)
✔ Expanded form:
7,000 + 400 + 10 + 9
---
#### 6) 45,871
- 40,000 (ten thousands)
- 5,000 (thousands)
- 800 (hundreds)
- 70 (tens)
- 1 (one)
✔ Expanded form:
40,000 + 5,000 + 800 + 70 + 1
---
Now we combine the expanded expressions into one number.
#### 1) 8,000 + 300 + 40 + 1
Add them:
- 8,000 + 300 = 8,300
- 8,300 + 40 = 8,340
- 8,340 + 1 = 8,341
✔ Standard form: 8,341
---
#### 2) 20,000 + 2,000 + 100 + 40 + 7
Add:
- 20,000 + 2,000 = 22,000
- 22,000 + 100 = 22,100
- 22,100 + 40 = 22,140
- 22,140 + 7 = 22,147
✔ Standard form: 22,147
---
#### 3) 300,000 + 60,000 + 2,000 + 400 + 30 + 3
Add:
- 300,000 + 60,000 = 360,000
- 360,000 + 2,000 = 362,000
- 362,000 + 400 = 362,400
- 362,400 + 30 = 362,430
- 362,430 + 3 = 362,433
✔ Standard form: 362,433
---
#### 4) 2,000 + 300 + 30 + 9
- 2,000 + 300 = 2,300
- 2,300 + 30 = 2,330
- 2,330 + 9 = 2,339
✔ Standard form: 2,339
---
#### 5) 50,000 + 8,000 + 200 + 10 + 4
- 50,000 + 8,000 = 58,000
- 58,000 + 200 = 58,200
- 58,200 + 10 = 58,210
- 58,210 + 4 = 58,214
✔ Standard form: 58,214
---
#### 6) 100,000 + 20,000 + 1,000 + 900 + 10
- 100,000 + 20,000 = 120,000
- 120,000 + 1,000 = 121,000
- 121,000 + 900 = 121,900
- 121,900 + 10 = 121,910
✔ Standard form: 121,910
---
#### Expanded Form:
1. 800,000 + 70,000 + 3,000 + 400 + 0 + 9
2. 5,000 + 800 + 50 + 7
3. 10,000 + 8,000 + 700 + 60 + 1
4. 300,000 + 90,000 + 8,000 + 0 + 0 + 3
5. 7,000 + 400 + 10 + 9
6. 40,000 + 5,000 + 800 + 70 + 1
#### Standard Form:
1. 8,341
2. 22,147
3. 362,433
4. 2,339
5. 58,214
6. 121,910
---
Let me know if you'd like this formatted as a printable answer key or need help with similar problems!
1. Write in expanded form – Convert numbers from standard form to expanded form.
2. Write in standard form – Convert expressions from expanded form to standard form.
Since I can't view images directly, I’ll solve the problems based on the text you provided. Let's go through each problem step by step.
---
Section 1: Write in expanded form
We need to break down each number into the sum of its place values.
#### 1) 873,409
Break it down by place value:
- 800,000 (hundred thousands)
- 70,000 (ten thousands)
- 3,000 (thousands)
- 400 (hundreds)
- 0 tens
- 9 ones
✔ Expanded form:
800,000 + 70,000 + 3,000 + 400 + 0 + 9
---
#### 2) 5,857
- 5,000 (thousands)
- 800 (hundreds)
- 50 (tens)
- 7 (ones)
✔ Expanded form:
5,000 + 800 + 50 + 7
---
#### 3) 18,761
- 10,000 (ten thousands)
- 8,000 (thousands)
- 700 (hundreds)
- 60 (tens)
- 1 (one)
✔ Expanded form:
10,000 + 8,000 + 700 + 60 + 1
---
#### 4) 398,003
- 300,000 (hundred thousands)
- 90,000 (ten thousands)
- 8,000 (thousands)
- 0 hundreds
- 0 tens
- 3 ones
✔ Expanded form:
300,000 + 90,000 + 8,000 + 0 + 0 + 3
Or simplified:
300,000 + 90,000 + 8,000 + 3
---
#### 5) 7,419
- 7,000 (thousands)
- 400 (hundreds)
- 10 (tens)
- 9 (ones)
✔ Expanded form:
7,000 + 400 + 10 + 9
---
#### 6) 45,871
- 40,000 (ten thousands)
- 5,000 (thousands)
- 800 (hundreds)
- 70 (tens)
- 1 (one)
✔ Expanded form:
40,000 + 5,000 + 800 + 70 + 1
---
Section 2: Write in standard form
Now we combine the expanded expressions into one number.
#### 1) 8,000 + 300 + 40 + 1
Add them:
- 8,000 + 300 = 8,300
- 8,300 + 40 = 8,340
- 8,340 + 1 = 8,341
✔ Standard form: 8,341
---
#### 2) 20,000 + 2,000 + 100 + 40 + 7
Add:
- 20,000 + 2,000 = 22,000
- 22,000 + 100 = 22,100
- 22,100 + 40 = 22,140
- 22,140 + 7 = 22,147
✔ Standard form: 22,147
---
#### 3) 300,000 + 60,000 + 2,000 + 400 + 30 + 3
Add:
- 300,000 + 60,000 = 360,000
- 360,000 + 2,000 = 362,000
- 362,000 + 400 = 362,400
- 362,400 + 30 = 362,430
- 362,430 + 3 = 362,433
✔ Standard form: 362,433
---
#### 4) 2,000 + 300 + 30 + 9
- 2,000 + 300 = 2,300
- 2,300 + 30 = 2,330
- 2,330 + 9 = 2,339
✔ Standard form: 2,339
---
#### 5) 50,000 + 8,000 + 200 + 10 + 4
- 50,000 + 8,000 = 58,000
- 58,000 + 200 = 58,200
- 58,200 + 10 = 58,210
- 58,210 + 4 = 58,214
✔ Standard form: 58,214
---
#### 6) 100,000 + 20,000 + 1,000 + 900 + 10
- 100,000 + 20,000 = 120,000
- 120,000 + 1,000 = 121,000
- 121,000 + 900 = 121,900
- 121,900 + 10 = 121,910
✔ Standard form: 121,910
---
✔ Final Answers:
#### Expanded Form:
1. 800,000 + 70,000 + 3,000 + 400 + 0 + 9
2. 5,000 + 800 + 50 + 7
3. 10,000 + 8,000 + 700 + 60 + 1
4. 300,000 + 90,000 + 8,000 + 0 + 0 + 3
5. 7,000 + 400 + 10 + 9
6. 40,000 + 5,000 + 800 + 70 + 1
#### Standard Form:
1. 8,341
2. 22,147
3. 362,433
4. 2,339
5. 58,214
6. 121,910
---
Let me know if you'd like this formatted as a printable answer key or need help with similar problems!
Parent Tip: Review the logic above to help your child master the concept of expanded form worksheet grade 5.