Mixed Operations Integers worksheet - Free Printable
Educational worksheet: Mixed Operations Integers worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Mixed Operations Integers worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Operations Integers worksheet
To solve the problems involving mixed operations with integers, we need to follow the rules of arithmetic for integers. Here are the solutions along with explanations:
- Subtracting a negative is the same as adding a positive.
- $(-34) - (-25) = -34 + 25 = -9$
Answer: $-9$
---
- Dividing two negatives gives a positive.
- $-90 ÷ (-3) = 30$
Answer: $30$
---
- Multiplying a positive by a negative gives a negative.
- $13 × (-4) = -52$
Answer: $-52$
---
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-13) + 20 = 7$
Answer: $7$
---
- Subtracting a negative is the same as adding a positive.
- $23 - (-6) = 23 + 6 = 29$
Answer: $29$
---
- Dividing two negatives gives a positive.
- $-42 ÷ (-7) = 6$
Answer: $6$
---
- Adding two negatives: add their absolute values and keep the negative sign.
- $(-45) + (-87) = -132$
Answer: $-132$
---
- Multiplying a positive by a negative gives a negative.
- $15 × -11 = -165$
Answer: $-165$
---
- Subtracting a positive from a negative: add the absolute values and keep the negative sign.
- $(-12) - 14 = -26$
Answer: $-26$
---
- Dividing two negatives gives a positive.
- $-16 ÷ (-4) = 4$
Answer: $4$
---
- Multiplying a positive by a negative gives a negative.
- $22 × (-3) = -66$
Answer: $-66$
---
- Subtracting a negative is the same as adding a positive.
- $34 - (-7) = 34 + 7 = 41$
Answer: $41$
---
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-44) + 3 = -41$
Answer: $-41$
---
- Dividing a positive by a negative gives a negative.
- $68 ÷ (-4) = -17$
Answer: $-17$
---
- Multiplying a positive by a negative gives a negative.
- $13 × (-5) = -65$
Answer: $-65$
---
- Adding a negative is the same as subtracting a positive.
- $56 + (-13) = 56 - 13 = 43$
Answer: $43$
---
- Subtracting a negative is the same as adding a positive.
- $(-54) - (-23) = -54 + 23 = -31$
Answer: $-31$
---
- Dividing two negatives gives a positive.
- $-72 ÷ (-9) = 8$
Answer: $8$
---
- Multiplying two negatives gives a positive.
- $(-34) × (-12) = 408$
Answer: $408$
---
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $-31 + 54 = 23$
Answer: $23$
---
- Subtracting a negative is the same as adding a positive.
- $(-65) - (-43) = -65 + 43 = -22$
Answer: $-22$
---
- Dividing a negative by a positive gives a negative.
- $-84 ÷ 6 = -14$
Answer: $-14$
---
- Multiplying two negatives gives a positive.
- $(-45) × (-38) = 1710$
Answer: $1710$
---
- Subtracting a negative is the same as adding a positive.
- $(-34) - (-65) = -34 + 65 = 31$
Answer: $31$
---
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-27) + 67 = 40$
Answer: $40$
---
- Multiplying a negative by a positive gives a negative.
- $-16 × 12 = -192$
Answer: $-192$
---
- Subtracting a positive from a negative: add the absolute values and keep the negative sign.
- $(-87) - 21 = -108$
Answer: $-108$
---
- Dividing two negatives gives a positive.
- $-85 ÷ (-17) = 5$
Answer: $5$
---
- Multiplying two negatives gives a positive.
- $(-43) × (-67) = 2881$
Answer: $2881$
---
- Subtracting a negative is the same as adding a positive.
- $(-99) - (-34) = -99 + 34 = -65$
Answer: $-65$
---
\[
\boxed{
\begin{array}{ll}
1. -9 & 2. 30 \\
3. -52 & 4. 7 \\
5. 29 & 6. 6 \\
7. -132 & 8. -165 \\
9. -26 & 10. 4 \\
11. -66 & 12. 41 \\
13. -41 & 14. -17 \\
15. -65 & 16. 43 \\
17. -31 & 18. 8 \\
19. 408 & 20. 23 \\
21. -22 & 22. -14 \\
23. 1710 & 24. 31 \\
25. 40 & 26. -192 \\
27. -108 & 28. 5 \\
29. 2881 & 30. -65 \\
\end{array}
}
\]
1. (-34) - (-25) =
- Subtracting a negative is the same as adding a positive.
- $(-34) - (-25) = -34 + 25 = -9$
Answer: $-9$
---
2. -90 ÷ (-3) =
- Dividing two negatives gives a positive.
- $-90 ÷ (-3) = 30$
Answer: $30$
---
3. 13 × (-4) =
- Multiplying a positive by a negative gives a negative.
- $13 × (-4) = -52$
Answer: $-52$
---
4. (-13) + 20 =
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-13) + 20 = 7$
Answer: $7$
---
5. 23 - (-6) =
- Subtracting a negative is the same as adding a positive.
- $23 - (-6) = 23 + 6 = 29$
Answer: $29$
---
6. -42 ÷ (-7) =
- Dividing two negatives gives a positive.
- $-42 ÷ (-7) = 6$
Answer: $6$
---
7. (-45) + (-87) =
- Adding two negatives: add their absolute values and keep the negative sign.
- $(-45) + (-87) = -132$
Answer: $-132$
---
8. 15 × -11 =
- Multiplying a positive by a negative gives a negative.
- $15 × -11 = -165$
Answer: $-165$
---
9. (-12) - 14 =
- Subtracting a positive from a negative: add the absolute values and keep the negative sign.
- $(-12) - 14 = -26$
Answer: $-26$
---
10. -16 ÷ (-4) =
- Dividing two negatives gives a positive.
- $-16 ÷ (-4) = 4$
Answer: $4$
---
11. 22 × (-3) =
- Multiplying a positive by a negative gives a negative.
- $22 × (-3) = -66$
Answer: $-66$
---
12. 34 - (-7) =
- Subtracting a negative is the same as adding a positive.
- $34 - (-7) = 34 + 7 = 41$
Answer: $41$
---
13. (-44) + 3 =
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-44) + 3 = -41$
Answer: $-41$
---
14. 68 ÷ (-4) =
- Dividing a positive by a negative gives a negative.
- $68 ÷ (-4) = -17$
Answer: $-17$
---
15. 13 × (-5) =
- Multiplying a positive by a negative gives a negative.
- $13 × (-5) = -65$
Answer: $-65$
---
16. 56 + (-13) =
- Adding a negative is the same as subtracting a positive.
- $56 + (-13) = 56 - 13 = 43$
Answer: $43$
---
17. (-54) - (-23) =
- Subtracting a negative is the same as adding a positive.
- $(-54) - (-23) = -54 + 23 = -31$
Answer: $-31$
---
18. -72 ÷ (-9) =
- Dividing two negatives gives a positive.
- $-72 ÷ (-9) = 8$
Answer: $8$
---
19. (-34) × (-12) =
- Multiplying two negatives gives a positive.
- $(-34) × (-12) = 408$
Answer: $408$
---
20. -31 + 54 =
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $-31 + 54 = 23$
Answer: $23$
---
21. (-65) - (-43) =
- Subtracting a negative is the same as adding a positive.
- $(-65) - (-43) = -65 + 43 = -22$
Answer: $-22$
---
22. -84 ÷ 6 =
- Dividing a negative by a positive gives a negative.
- $-84 ÷ 6 = -14$
Answer: $-14$
---
23. (-45) × (-38) =
- Multiplying two negatives gives a positive.
- $(-45) × (-38) = 1710$
Answer: $1710$
---
24. (-34) - (-65) =
- Subtracting a negative is the same as adding a positive.
- $(-34) - (-65) = -34 + 65 = 31$
Answer: $31$
---
25. (-27) + 67 =
- Adding a positive to a negative: subtract the smaller absolute value from the larger and keep the sign of the larger.
- $(-27) + 67 = 40$
Answer: $40$
---
26. -16 × 12 =
- Multiplying a negative by a positive gives a negative.
- $-16 × 12 = -192$
Answer: $-192$
---
27. (-87) - 21 =
- Subtracting a positive from a negative: add the absolute values and keep the negative sign.
- $(-87) - 21 = -108$
Answer: $-108$
---
28. -85 ÷ (-17) =
- Dividing two negatives gives a positive.
- $-85 ÷ (-17) = 5$
Answer: $5$
---
29. (-43) × (-67) =
- Multiplying two negatives gives a positive.
- $(-43) × (-67) = 2881$
Answer: $2881$
---
30. (-99) - (-34) =
- Subtracting a negative is the same as adding a positive.
- $(-99) - (-34) = -99 + 34 = -65$
Answer: $-65$
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. -9 & 2. 30 \\
3. -52 & 4. 7 \\
5. 29 & 6. 6 \\
7. -132 & 8. -165 \\
9. -26 & 10. 4 \\
11. -66 & 12. 41 \\
13. -41 & 14. -17 \\
15. -65 & 16. 43 \\
17. -31 & 18. 8 \\
19. 408 & 20. 23 \\
21. -22 & 22. -14 \\
23. 1710 & 24. 31 \\
25. 40 & 26. -192 \\
27. -108 & 28. 5 \\
29. 2881 & 30. -65 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of integer operations worksheet.
![Order of Operations with Integers Worksheet [PDFs] Brighterly.com](/images2/integer-operations-worksheet/integer-operations-worksheet-35.jpg)
