Addition math worksheets with math practice exercises and word ... - Free Printable
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Step-by-step solution for: Addition math worksheets with math practice exercises and word ...
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Show Answer Key & Explanations
Step-by-step solution for: Addition math worksheets with math practice exercises and word ...
To solve the addition of 4-digit numbers as shown in the image, we will go through each problem step by step. Let's break it down systematically.
---
$$
\begin{array}{r}
1334 \\
+ 2813 \\
+ 7544 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
4 + 3 + 4 = 11 \quad (\text{Write } 1, \text{carry } 1)
$$
2. Add the tens place:
$$
3 + 1 + 4 + 1 (\text{carry}) = 9
$$
3. Add the hundreds place:
$$
3 + 8 + 5 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
4. Add the thousands place:
$$
1 + 2 + 7 + 1 (\text{carry}) = 11 \quad (\text{Write } 11)
$$
#### Final Answer:
$$
\boxed{11691}
$$
---
$$
\begin{array}{r}
3421 \\
+ 2937 \\
+ 3047 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
1 + 7 + 7 = 15 \quad (\text{Write } 5, \text{carry } 1)
$$
2. Add the tens place:
$$
2 + 3 + 4 + 1 (\text{carry}) = 10 \quad (\text{Write } 0, \text{carry } 1)
$$
3. Add the hundreds place:
$$
4 + 9 + 0 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
4. Add the thousands place:
$$
3 + 2 + 3 + 1 (\text{carry}) = 9
$$
#### Final Answer:
$$
\boxed{9405}
$$
---
$$
\begin{array}{r}
4724 \\
+ 3875 \\
+ 3311 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
4 + 5 + 1 = 10 \quad (\text{Write } 0, \text{carry } 1)
$$
2. Add the tens place:
$$
2 + 7 + 1 + 1 (\text{carry}) = 11 \quad (\text{Write } 1, \text{carry } 1)
$$
3. Add the hundreds place:
$$
7 + 8 + 3 + 1 (\text{carry}) = 19 \quad (\text{Write } 9, \text{carry } 1)
$$
4. Add the thousands place:
$$
4 + 3 + 3 + 1 (\text{carry}) = 11 \quad (\text{Write } 11)
$$
#### Final Answer:
$$
\boxed{11900}
$$
---
$$
\begin{array}{r}
5340 \\
+ 1439 \\
+ 2697 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
0 + 9 + 7 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
2. Add the tens place:
$$
4 + 3 + 9 + 1 (\text{carry}) = 17 \quad (\text{Write } 7, \text{carry } 1)
$$
3. Add the hundreds place:
$$
3 + 4 + 6 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
4. Add the thousands place:
$$
5 + 1 + 2 + 1 (\text{carry}) = 9
$$
#### Final Answer:
$$
\boxed{9476}
$$
---
$$
\begin{array}{r}
6665 \\
+ 4412 \\
+ 4249 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
5 + 2 + 9 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
2. Add the tens place:
$$
6 + 1 + 4 + 1 (\text{carry}) = 12 \quad (\text{Write } 2, \text{carry } 1)
$$
3. Add the hundreds place:
$$
6 + 4 + 2 + 1 (\text{carry}) = 13 \quad (\text{Write } 3, \text{carry } 1)
$$
4. Add the thousands place:
$$
6 + 4 + 4 + 1 (\text{carry}) = 15 \quad (\text{Write } 15)
$$
#### Final Answer:
$$
\boxed{15326}
$$
---
$$
\begin{array}{r}
8810 \\
+ 4665 \\
+ 3058 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
0 + 5 + 8 = 13 \quad (\text{Write } 3, \text{carry } 1)
$$
2. Add the tens place:
$$
1 + 6 + 6 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
3. Add the hundreds place:
$$
8 + 6 + 0 + 1 (\text{carry}) = 15 \quad (\text{Write } 5, \text{carry } 1)
$$
4. Add the thousands place:
$$
8 + 4 + 3 + 1 (\text{carry}) = 16 \quad (\text{Write } 16)
$$
#### Final Answer:
$$
\boxed{16533}
$$
---
1. $ \boxed{11691} $
2. $ \boxed{9405} $
3. $ \boxed{11900} $
4. $ \boxed{9476} $
5. $ \boxed{15326} $
6. $ \boxed{16533} $
---
These are the detailed solutions for all the problems. If you have any further questions, feel free to ask!
---
Problem 1:
$$
\begin{array}{r}
1334 \\
+ 2813 \\
+ 7544 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
4 + 3 + 4 = 11 \quad (\text{Write } 1, \text{carry } 1)
$$
2. Add the tens place:
$$
3 + 1 + 4 + 1 (\text{carry}) = 9
$$
3. Add the hundreds place:
$$
3 + 8 + 5 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
4. Add the thousands place:
$$
1 + 2 + 7 + 1 (\text{carry}) = 11 \quad (\text{Write } 11)
$$
#### Final Answer:
$$
\boxed{11691}
$$
---
Problem 2:
$$
\begin{array}{r}
3421 \\
+ 2937 \\
+ 3047 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
1 + 7 + 7 = 15 \quad (\text{Write } 5, \text{carry } 1)
$$
2. Add the tens place:
$$
2 + 3 + 4 + 1 (\text{carry}) = 10 \quad (\text{Write } 0, \text{carry } 1)
$$
3. Add the hundreds place:
$$
4 + 9 + 0 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
4. Add the thousands place:
$$
3 + 2 + 3 + 1 (\text{carry}) = 9
$$
#### Final Answer:
$$
\boxed{9405}
$$
---
Problem 3:
$$
\begin{array}{r}
4724 \\
+ 3875 \\
+ 3311 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
4 + 5 + 1 = 10 \quad (\text{Write } 0, \text{carry } 1)
$$
2. Add the tens place:
$$
2 + 7 + 1 + 1 (\text{carry}) = 11 \quad (\text{Write } 1, \text{carry } 1)
$$
3. Add the hundreds place:
$$
7 + 8 + 3 + 1 (\text{carry}) = 19 \quad (\text{Write } 9, \text{carry } 1)
$$
4. Add the thousands place:
$$
4 + 3 + 3 + 1 (\text{carry}) = 11 \quad (\text{Write } 11)
$$
#### Final Answer:
$$
\boxed{11900}
$$
---
Problem 4:
$$
\begin{array}{r}
5340 \\
+ 1439 \\
+ 2697 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
0 + 9 + 7 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
2. Add the tens place:
$$
4 + 3 + 9 + 1 (\text{carry}) = 17 \quad (\text{Write } 7, \text{carry } 1)
$$
3. Add the hundreds place:
$$
3 + 4 + 6 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
4. Add the thousands place:
$$
5 + 1 + 2 + 1 (\text{carry}) = 9
$$
#### Final Answer:
$$
\boxed{9476}
$$
---
Problem 5:
$$
\begin{array}{r}
6665 \\
+ 4412 \\
+ 4249 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
5 + 2 + 9 = 16 \quad (\text{Write } 6, \text{carry } 1)
$$
2. Add the tens place:
$$
6 + 1 + 4 + 1 (\text{carry}) = 12 \quad (\text{Write } 2, \text{carry } 1)
$$
3. Add the hundreds place:
$$
6 + 4 + 2 + 1 (\text{carry}) = 13 \quad (\text{Write } 3, \text{carry } 1)
$$
4. Add the thousands place:
$$
6 + 4 + 4 + 1 (\text{carry}) = 15 \quad (\text{Write } 15)
$$
#### Final Answer:
$$
\boxed{15326}
$$
---
Problem 6:
$$
\begin{array}{r}
8810 \\
+ 4665 \\
+ 3058 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1. Add the units place:
$$
0 + 5 + 8 = 13 \quad (\text{Write } 3, \text{carry } 1)
$$
2. Add the tens place:
$$
1 + 6 + 6 + 1 (\text{carry}) = 14 \quad (\text{Write } 4, \text{carry } 1)
$$
3. Add the hundreds place:
$$
8 + 6 + 0 + 1 (\text{carry}) = 15 \quad (\text{Write } 5, \text{carry } 1)
$$
4. Add the thousands place:
$$
8 + 4 + 3 + 1 (\text{carry}) = 16 \quad (\text{Write } 16)
$$
#### Final Answer:
$$
\boxed{16533}
$$
---
Final Answers:
1. $ \boxed{11691} $
2. $ \boxed{9405} $
3. $ \boxed{11900} $
4. $ \boxed{9476} $
5. $ \boxed{15326} $
6. $ \boxed{16533} $
---
These are the detailed solutions for all the problems. If you have any further questions, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of addition worksheet ten thousands.