Integers - Worksheet Digital - Free Printable

Problem: Solve the integer addition and subtraction problems from the worksheet.

The worksheet contains a series of integer addition and subtraction problems. Let's solve each one step by step.

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#### Left Column:

1. 8 + (-6) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 8 + (-6) = 8 - 6 = 2 \)
- Answer: \( 2 \)

2. 0 + 10 =
- Adding zero to any number leaves the number unchanged.
- \( 0 + 10 = 10 \)
- Answer: \( 10 \)

3. (-9) + (-3) =
- Adding two negative numbers results in a larger negative number.
- \( (-9) + (-3) = -9 - 3 = -12 \)
- Answer: \( -12 \)

4. 6 + (-4) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 6 + (-4) = 6 - 4 = 2 \)
- Answer: \( 2 \)

5. 8 + 1 =
- Adding two positive numbers results in a larger positive number.
- \( 8 + 1 = 9 \)
- Answer: \( 9 \)

6. 6 + 6 =
- Adding two positive numbers results in a larger positive number.
- \( 6 + 6 = 12 \)
- Answer: \( 12 \)

7. 0 + (-2) =
- Adding zero to any number leaves the number unchanged.
- \( 0 + (-2) = -2 \)
- Answer: \( -2 \)

8. (-9) + 4 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-9) + 4 = -9 + 4 = -5 \)
- Answer: \( -5 \)

9. 6 + 1 =
- Adding two positive numbers results in a larger positive number.
- \( 6 + 1 = 7 \)
- Answer: \( 7 \)

10. 4 + (-2) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 4 + (-2) = 4 - 2 = 2 \)
- Answer: \( 2 \)

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#### Right Column:

1. 2 + 7 =
- Adding two positive numbers results in a larger positive number.
- \( 2 + 7 = 9 \)
- Answer: \( 9 \)

2. (-9) + 6 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-9) + 6 = -9 + 6 = -3 \)
- Answer: \( -3 \)

3. (-1) + 6 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-1) + 6 = -1 + 6 = 5 \)
- Answer: \( 5 \)

4. 6 + (-4) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 6 + (-4) = 6 - 4 = 2 \)
- Answer: \( 2 \)

5. 3 + 5 =
- Adding two positive numbers results in a larger positive number.
- \( 3 + 5 = 8 \)
- Answer: \( 8 \)

6. (-5) + (-4) =
- Adding two negative numbers results in a larger negative number.
- \( (-5) + (-4) = -5 - 4 = -9 \)
- Answer: \( -9 \)

7. (-2) + 8 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-2) + 8 = -2 + 8 = 6 \)
- Answer: \( 6 \)

8. (-7) + 3 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-7) + 3 = -7 + 3 = -4 \)
- Answer: \( -4 \)

9. 7 + (-1) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 7 + (-1) = 7 - 1 = 6 \)
- Answer: \( 6 \)

10. (-5) + 8 =
- Adding a positive number to a negative number involves subtracting the smaller absolute value from the larger absolute value and keeping the sign of the larger absolute value.
- \( (-5) + 8 = -5 + 8 = 3 \)
- Answer: \( 3 \)

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Final Answers:

\[
\begin{array}{ll}
\text{Left Column:} & \text{Right Column:} \\
8 + (-6) = 2 & 2 + 7 = 9 \\
0 + 10 = 10 & (-9) + 6 = -3 \\
(-9) + (-3) = -12 & (-1) + 6 = 5 \\
6 + (-4) = 2 & 6 + (-4) = 2 \\
8 + 1 = 9 & 3 + 5 = 8 \\
6 + 6 = 12 & (-5) + (-4) = -9 \\
0 + (-2) = -2 & (-2) + 8 = 6 \\
(-9) + 4 = -5 & (-7) + 3 = -4 \\
6 + 1 = 7 & 7 + (-1) = 6 \\
4 + (-2) = 2 & (-5) + 8 = 3 \\
\end{array}
\]

\boxed{
\begin{array}{ll}
2 & 9 \\
10 & -3 \\
-12 & 5 \\
2 & 2 \\
9 & 8 \\
12 & -9 \\
-2 & 6 \\
-5 & -4 \\
7 & 6 \\
2 & 3 \\
\end{array}
}
\)