BlueBonkers - Free Printable Math Addition Sheets: Addition - 4 ... - Free Printable
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Step-by-step solution for: BlueBonkers - Free Printable Math Addition Sheets: Addition - 4 ...
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Show Answer Key & Explanations
Step-by-step solution for: BlueBonkers - Free Printable Math Addition Sheets: Addition - 4 ...
Problem Description:
The task involves performing four-digit addition for multiple pairs of numbers. Each row contains five addition problems, and there are five rows in total. The goal is to solve each addition problem and provide the correct sums.
Solution Approach:
We will solve each addition problem step by step, ensuring that we carry over any values as needed when the sum of digits exceeds 9.
Step-by-Step Solution:
#### Row 1:
1. 5162 + 2993
- Add the units place: \(2 + 3 = 5\)
- Add the tens place: \(6 + 9 = 15\) (write 5, carry 1)
- Add the hundreds place: \(1 + 9 + 1 = 11\) (write 1, carry 1)
- Add the thousands place: \(5 + 2 + 1 = 8\)
- Result: 8155
2. 7134 + 4892
- Add the units place: \(4 + 2 = 6\)
- Add the tens place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the hundreds place: \(1 + 8 + 1 = 10\) (write 0, carry 1)
- Add the thousands place: \(7 + 4 + 1 = 12\)
- Result: 12026
3. 8146 + 3375
- Add the units place: \(6 + 5 = 11\) (write 1, carry 1)
- Add the tens place: \(4 + 7 + 1 = 12\) (write 2, carry 1)
- Add the hundreds place: \(1 + 3 + 1 = 5\)
- Add the thousands place: \(8 + 3 = 11\)
- Result: 11521
4. 9437 + 1622
- Add the units place: \(7 + 2 = 9\)
- Add the tens place: \(3 + 2 = 5\)
- Add the hundreds place: \(4 + 6 = 10\) (write 0, carry 1)
- Add the thousands place: \(9 + 1 + 1 = 11\)
- Result: 11059
5. 6371 + 1748
- Add the units place: \(1 + 8 = 9\)
- Add the tens place: \(7 + 4 = 11\) (write 1, carry 1)
- Add the hundreds place: \(3 + 7 + 1 = 11\) (write 1, carry 1)
- Add the thousands place: \(6 + 1 + 1 = 8\)
- Result: 8119
#### Row 2:
1. 8410 + 2896
- Add the units place: \(0 + 6 = 6\)
- Add the tens place: \(1 + 9 = 10\) (write 0, carry 1)
- Add the hundreds place: \(4 + 8 + 1 = 13\) (write 3, carry 1)
- Add the thousands place: \(8 + 2 + 1 = 11\)
- Result: 11306
2. 7480 + 6200
- Add the units place: \(0 + 0 = 0\)
- Add the tens place: \(8 + 0 = 8\)
- Add the hundreds place: \(4 + 2 = 6\)
- Add the thousands place: \(7 + 6 = 13\)
- Result: 13680
3. 2589 + 7332
- Add the units place: \(9 + 2 = 11\) (write 1, carry 1)
- Add the tens place: \(8 + 3 + 1 = 12\) (write 2, carry 1)
- Add the hundreds place: \(5 + 3 + 1 = 9\)
- Add the thousands place: \(2 + 7 = 9\)
- Result: 9921
4. 4716 + 3146
- Add the units place: \(6 + 6 = 12\) (write 2, carry 1)
- Add the tens place: \(1 + 4 + 1 = 6\)
- Add the hundreds place: \(7 + 1 = 8\)
- Add the thousands place: \(4 + 3 = 7\)
- Result: 7862
5. 5166 + 3307
- Add the units place: \(6 + 7 = 13\) (write 3, carry 1)
- Add the tens place: \(6 + 0 + 1 = 7\)
- Add the hundreds place: \(1 + 3 = 4\)
- Add the thousands place: \(5 + 3 = 8\)
- Result: 8473
#### Row 3:
1. 2441 + 5825
- Add the units place: \(1 + 5 = 6\)
- Add the tens place: \(4 + 2 = 6\)
- Add the hundreds place: \(4 + 8 = 12\) (write 2, carry 1)
- Add the thousands place: \(2 + 5 + 1 = 8\)
- Result: 8266
2. 3600 + 7490
- Add the units place: \(0 + 0 = 0\)
- Add the tens place: \(0 + 9 = 9\)
- Add the hundreds place: \(6 + 4 = 10\) (write 0, carry 1)
- Add the thousands place: \(3 + 7 + 1 = 11\)
- Result: 11090
3. 9249 + 1831
- Add the units place: \(9 + 1 = 10\) (write 0, carry 1)
- Add the tens place: \(4 + 3 + 1 = 8\)
- Add the hundreds place: \(2 + 8 = 10\) (write 0, carry 1)
- Add the thousands place: \(9 + 1 + 1 = 11\)
- Result: 11080
4. 6523 + 3476
- Add the units place: \(3 + 6 = 9\)
- Add the tens place: \(2 + 7 = 9\)
- Add the hundreds place: \(5 + 4 = 9\)
- Add the thousands place: \(6 + 3 = 9\)
- Result: 9999
5. 7553 + 3591
- Add the units place: \(3 + 1 = 4\)
- Add the tens place: \(5 + 9 = 14\) (write 4, carry 1)
- Add the hundreds place: \(5 + 5 + 1 = 11\) (write 1, carry 1)
- Add the thousands place: \(7 + 3 + 1 = 11\)
- Result: 11144
#### Row 4:
1. 5230 + 366
- Add the units place: \(0 + 6 = 6\)
- Add the tens place: \(3 + 6 = 9\)
- Add the hundreds place: \(2 + 3 = 5\)
- Add the thousands place: \(5 + 0 = 5\)
- Result: 5596
2. 8193 + 599
- Add the units place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the tens place: \(9 + 9 + 1 = 19\) (write 9, carry 1)
- Add the hundreds place: \(1 + 5 + 1 = 7\)
- Add the thousands place: \(8 + 0 = 8\)
- Result: 8792
3. 3226 + 784
- Add the units place: \(6 + 4 = 10\) (write 0, carry 1)
- Add the tens place: \(2 + 8 + 1 = 11\) (write 1, carry 1)
- Add the hundreds place: \(2 + 7 + 1 = 10\) (write 0, carry 1)
- Add the thousands place: \(3 + 0 + 1 = 4\)
- Result: 4010
4. 7569 + 1116
- Add the units place: \(9 + 6 = 15\) (write 5, carry 1)
- Add the tens place: \(6 + 1 + 1 = 8\)
- Add the hundreds place: \(5 + 1 = 6\)
- Add the thousands place: \(7 + 1 = 8\)
- Result: 8685
5. 5920 + 2555
- Add the units place: \(0 + 5 = 5\)
- Add the tens place: \(2 + 5 = 7\)
- Add the hundreds place: \(9 + 5 = 14\) (write 4, carry 1)
- Add the thousands place: \(5 + 2 + 1 = 8\)
- Result: 8475
#### Row 5:
1. 2382 + 5413
- Add the units place: \(2 + 3 = 5\)
- Add the tens place: \(8 + 1 = 9\)
- Add the hundreds place: \(3 + 4 = 7\)
- Add the thousands place: \(2 + 5 = 7\)
- Result: 7795
2. 4653 + 449
- Add the units place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the tens place: \(5 + 4 + 1 = 10\) (write 0, carry 1)
- Add the hundreds place: \(6 + 4 + 1 = 11\) (write 1, carry 1)
- Add the thousands place: \(4 + 0 + 1 = 5\)
- Result: 5102
3. 8511 + 4444
- Add the units place: \(1 + 4 = 5\)
- Add the tens place: \(1 + 4 = 5\)
- Add the hundreds place: \(5 + 4 = 9\)
- Add the thousands place: \(8 + 4 = 12\)
- Result: 12955
4. 3582 + 1793
- Add the units place: \(2 + 3 = 5\)
- Add the tens place: \(8 + 9 = 17\) (write 7, carry 1)
- Add the hundreds place: \(5 + 7 + 1 = 13\) (write 3, carry 1)
- Add the thousands place: \(3 + 1 + 1 = 5\)
- Result: 5375
5. 5566 + 3584
- Add the units place: \(6 + 4 = 10\) (write 0, carry 1)
- Add the tens place: \(6 + 8 + 1 = 15\) (write 5, carry 1)
- Add the hundreds place: \(5 + 5 + 1 = 11\) (write 1, carry 1)
- Add the thousands place: \(5 + 3 + 1 = 9\)
- Result: 9150
Final Answer:
\[
\boxed{
\begin{array}{ccccc}
8155 & 12026 & 11521 & 11059 & 8119 \\
11306 & 13680 & 9921 & 7862 & 8473 \\
8266 & 11090 & 11080 & 9999 & 11144 \\
5596 & 8792 & 4010 & 8685 & 8475 \\
7795 & 5102 & 12955 & 5375 & 9150 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4 digit addition worksheet free.