Printable math worksheet for practicing converting expanded form to standard form.
Expanded form to standard form worksheet with 30 math problems converting numbers from expanded to standard form.
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Show Answer Key & Explanations
Step-by-step solution for: Standard Form to Expanded Form Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Standard Form to Expanded Form Worksheets
It looks like you've uploaded a worksheet titled "Expanded Form to Standard Form (Up to 6-digit numbers)", which contains 20 problems. Each problem asks you to convert an expression written in expanded form into its standard form (i.e., the regular number).
Let’s go through each problem step by step and solve them.
---
Expanded form breaks down a number by place value:
- Example:
$ 3000 + 400 + 50 + 6 = 3456 $
We’ll add up all the values to get the standard form.
---
#### 1) $ 5000 + 200 + 40 + 5 $
$$
= 5000 + 200 = 5200 \\
+ 40 = 5240 \\
+ 5 = \boxed{5245}
$$
#### 2) $ 600 + 80 + 1 $
$$
= 600 + 80 = 680 \\
+ 1 = \boxed{681}
$$
#### 3) $ 6000 + 600 + 70 + 3 $
$$
= 6000 + 600 = 6600 \\
+ 70 = 6670 \\
+ 3 = \boxed{6673}
$$
#### 4) $ 5000 + 500 + 80 + 2 $
$$
= 5000 + 500 = 5500 \\
+ 80 = 5580 \\
+ 2 = \boxed{5582}
$$
#### 5) $ 7000 + 40 + 1 $
$$
= 7000 + 40 = 7040 \\
+ 1 = \boxed{7041}
$$
#### 6) $ 200 + 20 + 2 $
$$
= 200 + 20 = 220 \\
+ 2 = \boxed{222}
$$
#### 7) $ 5000 + 200 + 80 + 6 $
$$
= 5000 + 200 = 5200 \\
+ 80 = 5280 \\
+ 6 = \boxed{5286}
$$
#### 8) $ 6000 + 700 + 80 + 6 $
$$
= 6000 + 700 = 6700 \\
+ 80 = 6780 \\
+ 6 = \boxed{6786}
$$
#### 9) $ 3000 + 800 + 70 + 5 $
$$
= 3000 + 800 = 3800 \\
+ 70 = 3870 \\
+ 5 = \boxed{3875}
$$
#### 10) $ 2000 + 400 + 6 $
$$
= 2000 + 400 = 2400 \\
+ 6 = \boxed{2406}
$$
#### 11) $ 900 + 80 + 5 $
$$
= 900 + 80 = 980 \\
+ 5 = \boxed{985}
$$
#### 12) $ 900 + 20 + 7 $
$$
= 900 + 20 = 920 \\
+ 7 = \boxed{927}
$$
#### 13) $ 4000 + 500 + 50 + 7 $
$$
= 4000 + 500 = 4500 \\
+ 50 = 4550 \\
+ 7 = \boxed{4557}
$$
#### 14) $ 9000 + 600 + 80 + 3 $
$$
= 9000 + 600 = 9600 \\
+ 80 = 9680 \\
+ 3 = \boxed{9683}
$$
#### 15) $ 5000 + 500 + 70 + 1 $
$$
= 5000 + 500 = 5500 \\
+ 70 = 5570 \\
+ 1 = \boxed{5571}
$$
#### 16) $ 7000 + 200 + 70 + 6 $
$$
= 7000 + 200 = 7200 \\
+ 70 = 7270 \\
+ 6 = \boxed{7276}
$$
#### 17) $ 8000 + 4 $
$$
= 8000 + 4 = \boxed{8004}
$$
#### 18) $ 4000 + 200 + 50 + 4 $
$$
= 4000 + 200 = 4200 \\
+ 50 = 4250 \\
+ 4 = \boxed{4254}
$$
#### 19) $ 9000 + 400 + 80 + 2 $
$$
= 9000 + 400 = 9400 \\
+ 80 = 9480 \\
+ 2 = \boxed{9482}
$$
#### 20) $ 5000 + 500 + 40 + 1 $
$$
= 5000 + 500 = 5500 \\
+ 40 = 5540 \\
+ 1 = \boxed{5541}
$$
---
| Problem | Answer |
|--------|--------|
| 1 | 5245 |
| 2 | 681 |
| 3 | 6673 |
| 4 | 5582 |
| 5 | 7041 |
| 6 | 222 |
| 7 | 5286 |
| 8 | 6786 |
| 9 | 3875 |
| 10 | 2406 |
| 11 | 985 |
| 12 | 927 |
| 13 | 4557 |
| 14 | 9683 |
| 15 | 5571 |
| 16 | 7276 |
| 17 | 8004 |
| 18 | 4254 |
| 19 | 9482 |
| 20 | 5541 |
---
To convert from expanded form to standard form, simply:
1. Add all the individual place-value components.
2. Combine them into one number.
3. Make sure to align digits correctly (thousands, hundreds, tens, ones).
This helps reinforce understanding of place value and how numbers are built.
Let me know if you'd like this as a printable answer key or need help with similar problems!
Let’s go through each problem step by step and solve them.
---
🔢 Understanding Expanded Form
Expanded form breaks down a number by place value:
- Example:
$ 3000 + 400 + 50 + 6 = 3456 $
We’ll add up all the values to get the standard form.
---
✔ Let's Solve Each Problem:
#### 1) $ 5000 + 200 + 40 + 5 $
$$
= 5000 + 200 = 5200 \\
+ 40 = 5240 \\
+ 5 = \boxed{5245}
$$
#### 2) $ 600 + 80 + 1 $
$$
= 600 + 80 = 680 \\
+ 1 = \boxed{681}
$$
#### 3) $ 6000 + 600 + 70 + 3 $
$$
= 6000 + 600 = 6600 \\
+ 70 = 6670 \\
+ 3 = \boxed{6673}
$$
#### 4) $ 5000 + 500 + 80 + 2 $
$$
= 5000 + 500 = 5500 \\
+ 80 = 5580 \\
+ 2 = \boxed{5582}
$$
#### 5) $ 7000 + 40 + 1 $
$$
= 7000 + 40 = 7040 \\
+ 1 = \boxed{7041}
$$
#### 6) $ 200 + 20 + 2 $
$$
= 200 + 20 = 220 \\
+ 2 = \boxed{222}
$$
#### 7) $ 5000 + 200 + 80 + 6 $
$$
= 5000 + 200 = 5200 \\
+ 80 = 5280 \\
+ 6 = \boxed{5286}
$$
#### 8) $ 6000 + 700 + 80 + 6 $
$$
= 6000 + 700 = 6700 \\
+ 80 = 6780 \\
+ 6 = \boxed{6786}
$$
#### 9) $ 3000 + 800 + 70 + 5 $
$$
= 3000 + 800 = 3800 \\
+ 70 = 3870 \\
+ 5 = \boxed{3875}
$$
#### 10) $ 2000 + 400 + 6 $
$$
= 2000 + 400 = 2400 \\
+ 6 = \boxed{2406}
$$
#### 11) $ 900 + 80 + 5 $
$$
= 900 + 80 = 980 \\
+ 5 = \boxed{985}
$$
#### 12) $ 900 + 20 + 7 $
$$
= 900 + 20 = 920 \\
+ 7 = \boxed{927}
$$
#### 13) $ 4000 + 500 + 50 + 7 $
$$
= 4000 + 500 = 4500 \\
+ 50 = 4550 \\
+ 7 = \boxed{4557}
$$
#### 14) $ 9000 + 600 + 80 + 3 $
$$
= 9000 + 600 = 9600 \\
+ 80 = 9680 \\
+ 3 = \boxed{9683}
$$
#### 15) $ 5000 + 500 + 70 + 1 $
$$
= 5000 + 500 = 5500 \\
+ 70 = 5570 \\
+ 1 = \boxed{5571}
$$
#### 16) $ 7000 + 200 + 70 + 6 $
$$
= 7000 + 200 = 7200 \\
+ 70 = 7270 \\
+ 6 = \boxed{7276}
$$
#### 17) $ 8000 + 4 $
$$
= 8000 + 4 = \boxed{8004}
$$
#### 18) $ 4000 + 200 + 50 + 4 $
$$
= 4000 + 200 = 4200 \\
+ 50 = 4250 \\
+ 4 = \boxed{4254}
$$
#### 19) $ 9000 + 400 + 80 + 2 $
$$
= 9000 + 400 = 9400 \\
+ 80 = 9480 \\
+ 2 = \boxed{9482}
$$
#### 20) $ 5000 + 500 + 40 + 1 $
$$
= 5000 + 500 = 5500 \\
+ 40 = 5540 \\
+ 1 = \boxed{5541}
$$
---
✔ Final Answers (Standard Form):
| Problem | Answer |
|--------|--------|
| 1 | 5245 |
| 2 | 681 |
| 3 | 6673 |
| 4 | 5582 |
| 5 | 7041 |
| 6 | 222 |
| 7 | 5286 |
| 8 | 6786 |
| 9 | 3875 |
| 10 | 2406 |
| 11 | 985 |
| 12 | 927 |
| 13 | 4557 |
| 14 | 9683 |
| 15 | 5571 |
| 16 | 7276 |
| 17 | 8004 |
| 18 | 4254 |
| 19 | 9482 |
| 20 | 5541 |
---
📝 Explanation Summary:
To convert from expanded form to standard form, simply:
1. Add all the individual place-value components.
2. Combine them into one number.
3. Make sure to align digits correctly (thousands, hundreds, tens, ones).
This helps reinforce understanding of place value and how numbers are built.
Let me know if you'd like this 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 and standard form worksheet.