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Printable math worksheet for practicing 2-digit addition and subtraction problems.

Worksheet titled "2-Digit Addition & Subtraction" with problems for finding sums and differences, featuring 16 math exercises.

Worksheet titled "2-Digit Addition & Subtraction" with problems for finding sums and differences, featuring 16 math exercises.

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Show Answer Key & Explanations Step-by-step solution for: 2nd Grade Addition and Subtraction Worksheets with Answer Key

Problem Overview:


The task involves solving a series of 2-digit addition and subtraction problems. Let's break it down into two sections: Addition and Subtraction.

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Section 1: Addition


We need to find the sum of the given pairs of numbers.

#### Step-by-Step Solutions:

1. 93 + 8 = ?
- Add the digits in the ones place: \( 3 + 8 = 11 \). Write down 1 and carry over 1.
- Add the digits in the tens place: \( 9 + 0 = 9 \), then add the carried-over 1: \( 9 + 1 = 10 \).
- Result: \( 101 \).

2. 71 + 8 = ?
- Add the digits in the ones place: \( 1 + 8 = 9 \).
- The tens place remains unchanged: \( 7 \).
- Result: \( 79 \).

3. 34 + 4 = ?
- Add the digits in the ones place: \( 4 + 4 = 8 \).
- The tens place remains unchanged: \( 3 \).
- Result: \( 38 \).

4. 92 + 1 = ?
- Add the digits in the ones place: \( 2 + 1 = 3 \).
- The tens place remains unchanged: \( 9 \).
- Result: \( 93 \).

5. 22 + 7 = ?
- Add the digits in the ones place: \( 2 + 7 = 9 \).
- The tens place remains unchanged: \( 2 \).
- Result: \( 29 \).

6. 39 + 3 = ?
- Add the digits in the ones place: \( 9 + 3 = 12 \). Write down 2 and carry over 1.
- Add the digits in the tens place: \( 3 + 0 = 3 \), then add the carried-over 1: \( 3 + 1 = 4 \).
- Result: \( 42 \).

7. 41 + 9 = ?
- Add the digits in the ones place: \( 1 + 9 = 10 \). Write down 0 and carry over 1.
- Add the digits in the tens place: \( 4 + 0 = 4 \), then add the carried-over 1: \( 4 + 1 = 5 \).
- Result: \( 50 \).

8. 66 + 8 = ?
- Add the digits in the ones place: \( 6 + 8 = 14 \). Write down 4 and carry over 1.
- Add the digits in the tens place: \( 6 + 0 = 6 \), then add the carried-over 1: \( 6 + 1 = 7 \).
- Result: \( 74 \).

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Section 2: Subtraction


We need to find the difference between the given pairs of numbers.

#### Step-by-Step Solutions:

9. 41 - 7 = ?
- Subtract the digits in the ones place: \( 1 - 7 \). Since 1 is less than 7, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 11 - 7 = 4 \).
- The tens place becomes \( 4 - 1 = 3 \) (after borrowing).
- Result: \( 34 \).

10. 35 - 8 = ?
- Subtract the digits in the ones place: \( 5 - 8 \). Since 5 is less than 8, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 15 - 8 = 7 \).
- The tens place becomes \( 3 - 1 = 2 \) (after borrowing).
- Result: \( 27 \).

11. 94 - 8 = ?
- Subtract the digits in the ones place: \( 4 - 8 \). Since 4 is less than 8, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 14 - 8 = 6 \).
- The tens place becomes \( 9 - 1 = 8 \) (after borrowing).
- Result: \( 86 \).

12. 53 - 9 = ?
- Subtract the digits in the ones place: \( 3 - 9 \). Since 3 is less than 9, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 13 - 9 = 4 \).
- The tens place becomes \( 5 - 1 = 4 \) (after borrowing).
- Result: \( 44 \).

13. 32 - 4 = ?
- Subtract the digits in the ones place: \( 2 - 4 \). Since 2 is less than 4, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 12 - 4 = 8 \).
- The tens place becomes \( 3 - 1 = 2 \) (after borrowing).
- Result: \( 28 \).

14. 49 - 3 = ?
- Subtract the digits in the ones place: \( 9 - 3 = 6 \).
- The tens place remains unchanged: \( 4 \).
- Result: \( 46 \).

15. 52 - 7 = ?
- Subtract the digits in the ones place: \( 2 - 7 \). Since 2 is less than 7, borrow 1 from the tens place.
- After borrowing, the ones place becomes \( 12 - 7 = 5 \).
- The tens place becomes \( 5 - 1 = 4 \) (after borrowing).
- Result: \( 45 \).

16. 62 - 1 = ?
- Subtract the digits in the ones place: \( 2 - 1 = 1 \).
- The tens place remains unchanged: \( 6 \).
- Result: \( 61 \).

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Final Answers:


\[
\begin{aligned}
&\text{Find the sum:} \\
&1. \, 93 + 8 = 101 \\
&2. \, 71 + 8 = 79 \\
&3. \, 34 + 4 = 38 \\
&4. \, 92 + 1 = 93 \\
&5. \, 22 + 7 = 29 \\
&6. \, 39 + 3 = 42 \\
&7. \, 41 + 9 = 50 \\
&8. \, 66 + 8 = 74 \\
\\
&\text{Find the difference:} \\
&9. \, 41 - 7 = 34 \\
&10. \, 35 - 8 = 27 \\
&11. \, 94 - 8 = 86 \\
&12. \, 53 - 9 = 44 \\
&13. \, 32 - 4 = 28 \\
&14. \, 49 - 3 = 46 \\
&15. \, 52 - 7 = 45 \\
&16. \, 62 - 1 = 61 \\
\end{aligned}
\]

\boxed{
\begin{array}{ll}
1. 101 & 2. 79 \\
3. 38 & 4. 93 \\
5. 29 & 6. 42 \\
7. 50 & 8. 74 \\
9. 34 & 10. 27 \\
11. 86 & 12. 44 \\
13. 28 & 14. 46 \\
15. 45 & 16. 61 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction worksheet 2nd grade free.
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