4 Digit Missing Number Addition Worksheet / Worksheet - Free Printable

Problem Description:

The task involves solving missing number problems in 4-digit addition. Each problem provides some digits and asks for the missing digits to complete the addition correctly.

Solution Approach:

1. Understand the Structure: Each problem consists of two rows of numbers being added, with one or more digits missing. The goal is to determine the missing digits so that the sum matches the given result.
2. Use Place Value: Work from right to left (units place to thousands place) to ensure the addition is correct at each step.
3. Carry Over: Pay attention to any carry-over values when adding digits in each column.
4. Trial and Error if Necessary: If a digit is missing, try different possibilities while ensuring the overall sum is correct.

Step-by-Step Solutions:

#### First Row:
1. Problem 1:
```
2_79
+9_5
----
_12_
```
- Start from the units place: \( 9 + 5 = 14 \). Write down 4 and carry over 1.
- Tens place: \( 7 + _ + 1 (\text{carry}) = 12 \). So, \( _ = 4 \).
- Hundreds place: \( 2 + 9 = 11 \). Write down 1 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = _ \). Since there's no thousands digit in the result, the missing digit must be 0.
- Final answer:
```
2079
+945
----
3024
```

2. Problem 2:
```
7_32
+8_9
----
_631
```
- Units place: \( 2 + 9 = 11 \). Write down 1 and carry over 1.
- Tens place: \( _ + 8 + 1 (\text{carry}) = 3 \). So, \( _ = 4 \).
- Hundreds place: \( 7 + _ = 6 \). Since we need to account for the carry, \( _ = 8 \).
- Thousands place: \( _ + 0 (\text{implied}) = _ \). The missing digit must be 1.
- Final answer:
```
7832
+849
----
8681
```

3. Problem 3:
```
25_3
+__2
----
_575
```
- Units place: \( 3 + 2 = 5 \). No carry.
- Tens place: \( _ + _ = 7 \). Since there's no carry from the units place, both digits must add up to 7. Let’s assume \( _ = 5 \) and \( _ = 2 \).
- Hundreds place: \( 2 + _ = 5 \). So, \( _ = 3 \).
- Thousands place: \( _ + 0 (\text{implied}) = _ \). The missing digit must be 1.
- Final answer:
```
2553
+102
----
2655
```

4. Problem 4:
```
61_7
+_11
----
_435
```
- Units place: \( 7 + 1 = 8 \). No carry.
- Tens place: \( _ + 1 = 3 \). So, \( _ = 2 \).
- Hundreds place: \( 1 + _ = 4 \). So, \( _ = 3 \).
- Thousands place: \( 6 + 0 (\text{implied}) = _ \). The missing digit must be 6.
- Final answer:
```
6127
+311
----
6438
```

#### Second Row:
1. Problem 1:
```
72_3
+8_9
----
_12_
```
- Units place: \( 3 + 9 = 12 \). Write down 2 and carry over 1.
- Tens place: \( _ + 8 + 1 (\text{carry}) = 12 \). So, \( _ = 3 \).
- Hundreds place: \( 7 + 8 = 15 \). Write down 5 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = _ \). The missing digit must be 1.
- Final answer:
```
7233
+899
----
8132
```

2. Problem 2:
```
9_4
+182
----
1414_
```
- Units place: \( 4 + 2 = 6 \).
- Tens place: \( _ + 8 = 14 \). So, \( _ = 6 \).
- Hundreds place: \( 9 + 1 = 10 \). Write down 0 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = 1 \). The missing digit must be 0.
- Final answer:
```
964
+182
----
1146
```

3. Problem 3:
```
53__
+658
----
_6963
```
- Units place: \( _ + 8 = 3 \). So, \( _ = 5 \).
- Tens place: \( _ + 5 = 6 \). So, \( _ = 1 \).
- Hundreds place: \( 5 + 6 = 11 \). Write down 1 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = _ \). The missing digit must be 6.
- Final answer:
```
5315
+658
----
5973
```

4. Problem 4:
```
81_8
+_52
----
_42_
```
- Units place: \( 8 + 2 = 10 \). Write down 0 and carry over 1.
- Tens place: \( _ + 5 + 1 (\text{carry}) = 2 \). So, \( _ = 6 \).
- Hundreds place: \( 1 + _ = 4 \). So, \( _ = 3 \).
- Thousands place: \( 8 + 0 (\text{implied}) = _ \). The missing digit must be 8.
- Final answer:
```
8168
+352
----
8520
```

#### Third Row:
1. Problem 1:
```
2_0
+3_0
----
9202
```
- Units place: \( 0 + 0 = 0 \).
- Tens place: \( _ + _ = 0 \). Since there's no carry, both digits must be 0.
- Hundreds place: \( 2 + 3 = 5 \).
- Thousands place: \( _ + 0 (\text{implied}) = 9 \). The missing digit must be 9.
- Final answer:
```
9200
+3002
----
9202
```

2. Problem 2:
```
_57
+410
----
850
```
- Units place: \( _ + 0 = 0 \). So, \( _ = 0 \).
- Tens place: \( 5 + 1 = 6 \).
- Hundreds place: \( _ + 4 = 8 \). So, \( _ = 4 \).
- Final answer:
```
457
+410
----
867
```

3. Problem 3:
```
73_9
+8_2
----
_986
```
- Units place: \( 9 + 2 = 11 \). Write down 6 and carry over 1.
- Tens place: \( _ + _ + 1 (\text{carry}) = 8 \). Let’s assume \( _ = 1 \) and \( _ = 7 \).
- Hundreds place: \( 7 + 8 = 15 \). Write down 5 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = _ \). The missing digit must be 1.
- Final answer:
```
7319
+872
----
8191
```

4. Problem 4:
```
8_1
+858
----
1369
```
- Units place: \( 1 + 8 = 9 \).
- Tens place: \( _ + 5 = 6 \). So, \( _ = 1 \).
- Hundreds place: \( 8 + 8 = 16 \). Write down 6 and carry over 1.
- Thousands place: \( _ + 0 (\text{implied}) + 1 (\text{carry}) = 1 \). The missing digit must be 0.
- Final answer:
```
811
+858
----
1669
```

Final Answer:

\[
\boxed{
\begin{array}{r}
2079 & 7832 & 2553 & 6127 \\
+945 & +849 & +102 & +311 \\
----- & ----- & ----- & ----- \\
3024 & 8681 & 2655 & 6438 \\
\end{array}
}
\]
\[
\boxed{
\begin{array}{r}
7233 & 964 & 5315 & 8168 \\
+899 & +182 & +658 & +352 \\
----- & ----- & ----- & ----- \\
8132 & 1146 & 5973 & 8520 \\
\end{array}
}
\]
\[
\boxed{
\begin{array}{r}
9200 & 457 & 7319 & 811 \\
+3002 & +410 & +872 & +858 \\
----- & ----- & ----- & ----- \\
9202 & 867 & 8191 & 1669 \\
\end{array}
}
\]