Four-Digit Addition With All Regrouping - 16 Questions - Large ... - Free Printable

Problem Description:

The task involves solving a series of four-digit addition problems, where all sums require regrouping (carrying over digits). The goal is to calculate each sum accurately.

Solution Approach:

1. Understand the Task: Each problem involves adding two four-digit numbers. Since all problems require regrouping, we must carefully carry over digits as needed.
2. Perform Addition Step-by-Step: Add the numbers column by column (starting from the rightmost digit) and carry over any excess to the next column.
3. Verify Each Sum: Ensure that the addition is performed correctly by double-checking the calculations.

Step-by-Step Calculations:

#### First Row:
1. 6712 + 8999:
- Ones place: \(2 + 9 = 11\) → Write 1, carry 1.
- Tens place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(7 + 9 + 1 = 17\) → Write 7, carry 1.
- Thousands place: \(6 + 8 + 1 = 15\) → Write 15.
- Sum: 15711

2. 7472 + 6988:
- Ones place: \(2 + 8 = 10\) → Write 0, carry 1.
- Tens place: \(7 + 8 + 1 = 16\) → Write 6, carry 1.
- Hundreds place: \(4 + 9 + 1 = 14\) → Write 4, carry 1.
- Thousands place: \(7 + 6 + 1 = 14\) → Write 14.
- Sum: 14460

3. 7177 + 5936:
- Ones place: \(7 + 6 = 13\) → Write 3, carry 1.
- Tens place: \(7 + 3 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(7 + 5 + 1 = 13\) → Write 13.
- Sum: 13113

4. 5268 + 8973:
- Ones place: \(8 + 3 = 11\) → Write 1, carry 1.
- Tens place: \(6 + 7 + 1 = 14\) → Write 4, carry 1.
- Hundreds place: \(2 + 9 + 1 = 12\) → Write 2, carry 1.
- Thousands place: \(5 + 8 + 1 = 14\) → Write 14.
- Sum: 14241

#### Second Row:
1. 9764 + 3358:
- Ones place: \(4 + 8 = 12\) → Write 2, carry 1.
- Tens place: \(6 + 5 + 1 = 12\) → Write 2, carry 1.
- Hundreds place: \(7 + 3 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(9 + 3 + 1 = 13\) → Write 13.
- Sum: 13122

2. 2513 + 9598:
- Ones place: \(3 + 8 = 11\) → Write 1, carry 1.
- Tens place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(5 + 5 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(2 + 9 + 1 = 12\) → Write 12.
- Sum: 12111

3. 6814 + 5799:
- Ones place: \(4 + 9 = 13\) → Write 3, carry 1.
- Tens place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(8 + 7 + 1 = 16\) → Write 6, carry 1.
- Thousands place: \(6 + 5 + 1 = 12\) → Write 12.
- Sum: 12613

4. 1943 + 9899:
- Ones place: \(3 + 9 = 12\) → Write 2, carry 1.
- Tens place: \(4 + 9 + 1 = 14\) → Write 4, carry 1.
- Hundreds place: \(9 + 8 + 1 = 18\) → Write 8, carry 1.
- Thousands place: \(1 + 9 + 1 = 11\) → Write 11.
- Sum: 11842

#### Third Row:
1. 4221 + 8889:
- Ones place: \(1 + 9 = 10\) → Write 0, carry 1.
- Tens place: \(2 + 8 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(2 + 8 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(4 + 8 + 1 = 13\) → Write 13.
- Sum: 13110

2. 6563 + 8849:
- Ones place: \(3 + 9 = 12\) → Write 2, carry 1.
- Tens place: \(6 + 4 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(5 + 8 + 1 = 14\) → Write 4, carry 1.
- Thousands place: \(6 + 8 + 1 = 15\) → Write 15.
- Sum: 15412

3. 1368 + 9742:
- Ones place: \(8 + 2 = 10\) → Write 0, carry 1.
- Tens place: \(6 + 4 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(3 + 7 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(1 + 9 + 1 = 11\) → Write 11.
- Sum: 11110

4. 5481 + 9879:
- Ones place: \(1 + 9 = 10\) → Write 0, carry 1.
- Tens place: \(8 + 7 + 1 = 16\) → Write 6, carry 1.
- Hundreds place: \(4 + 8 + 1 = 13\) → Write 3, carry 1.
- Thousands place: \(5 + 9 + 1 = 15\) → Write 15.
- Sum: 15360

#### Fourth Row:
1. 2716 + 9996:
- Ones place: \(6 + 6 = 12\) → Write 2, carry 1.
- Tens place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(7 + 9 + 1 = 17\) → Write 7, carry 1.
- Thousands place: \(2 + 9 + 1 = 12\) → Write 12.
- Sum: 12712

2. 6681 + 9449:
- Ones place: \(1 + 9 = 10\) → Write 0, carry 1.
- Tens place: \(8 + 4 + 1 = 13\) → Write 3, carry 1.
- Hundreds place: \(6 + 4 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(6 + 9 + 1 = 16\) → Write 16.
- Sum: 16130

3. 6238 + 5874:
- Ones place: \(8 + 4 = 12\) → Write 2, carry 1.
- Tens place: \(3 + 7 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(2 + 8 + 1 = 11\) → Write 1, carry 1.
- Thousands place: \(6 + 5 + 1 = 12\) → Write 12.
- Sum: 12112

4. 7419 + 3894:
- Ones place: \(9 + 4 = 13\) → Write 3, carry 1.
- Tens place: \(1 + 9 + 1 = 11\) → Write 1, carry 1.
- Hundreds place: \(4 + 8 + 1 = 13\) → Write 3, carry 1.
- Thousands place: \(7 + 3 + 1 = 11\) → Write 11.
- Sum: 11313

Final Answers:

\[
\boxed{
\begin{array}{cccc}
15711 & 14460 & 13113 & 14241 \\
13122 & 12111 & 12613 & 11842 \\
13110 & 15412 & 11110 & 15360 \\
12712 & 16130 & 12112 & 11313 \\
\end{array}
}
\]