Integer Quiz worksheet - Free Printable

Let's solve each problem step by step. The quiz involves basic arithmetic operations with integers: addition, subtraction, multiplication, and division. Here are the solutions:

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Problem 5: \( 5 + (-10) \)

- Adding a negative number is the same as subtracting its positive counterpart.
- \( 5 + (-10) = 5 - 10 = -5 \)

Answer: \(\boxed{-5}\)

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Problem 6: \( -8 \times 3 \)

- Multiplying a negative number by a positive number results in a negative product.
- \( -8 \times 3 = -24 \)

Answer: \(\boxed{-24}\)

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Problem 7: \( -17 - (-2) \)

- Subtracting a negative number is the same as adding its positive counterpart.
- \( -17 - (-2) = -17 + 2 = -15 \)

Answer: \(\boxed{-15}\)

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Problem 8: \( -6 + 8 \)

- Adding a positive number to a negative number involves finding the difference between their absolute values and keeping the sign of the larger absolute value.
- \( -6 + 8 = 2 \)

Answer: \(\boxed{2}\)

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Problem 9: \( -7 \times -7 \)

- Multiplying two negative numbers results in a positive product.
- \( -7 \times -7 = 49 \)

Answer: \(\boxed{49}\)

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Problem 10: \( -9 + 9 \)

- Adding a number to its opposite results in zero.
- \( -9 + 9 = 0 \)

Answer: \(\boxed{0}\)

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Problem 11: \( -36 \div -4 \)

- Dividing two negative numbers results in a positive quotient.
- \( -36 \div -4 = 9 \)

Answer: \(\boxed{9}\)

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Problem 12: \( -12 \times 5 \)

- Multiplying a negative number by a positive number results in a negative product.
- \( -12 \times 5 = -60 \)

Answer: \(\boxed{-60}\)

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Problem 13: \( 25 + (-15) \)

- Adding a negative number is the same as subtracting its positive counterpart.
- \( 25 + (-15) = 25 - 15 = 10 \)

Answer: \(\boxed{10}\)

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Problem 14: \( -12 \div 3 \)

- Dividing a negative number by a positive number results in a negative quotient.
- \( -12 \div 3 = -4 \)

Answer: \(\boxed{-4}\)

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Problem 15: \( -7 + (-12) \)

- Adding two negative numbers results in a negative sum.
- \( -7 + (-12) = -7 - 12 = -19 \)

Answer: \(\boxed{-19}\)

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Problem 16: \( -22 - 11 \)

- Subtracting a positive number from a negative number results in a more negative number.
- \( -22 - 11 = -33 \)

Answer: \(\boxed{-33}\)

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Problem 17: \( 20 \div -4 \)

- Dividing a positive number by a negative number results in a negative quotient.
- \( 20 \div -4 = -5 \)

Answer: \(\boxed{-5}\)

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Problem 18: \( -2 \times 35 \)

- Multiplying a negative number by a positive number results in a negative product.
- \( -2 \times 35 = -70 \)

Answer: \(\boxed{-70}\)

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Problem 19: \( 10 + (-1) \)

- Adding a negative number is the same as subtracting its positive counterpart.
- \( 10 + (-1) = 10 - 1 = 9 \)

Answer: \(\boxed{9}\)

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Problem 20: \( 30 - (-30) \)

- Subtracting a negative number is the same as adding its positive counterpart.
- \( 30 - (-30) = 30 + 30 = 60 \)

Answer: \(\boxed{60}\)

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Final Answers:

\[
\begin{aligned}
&5. \, \boxed{-5} & 13. \, \boxed{10} \\
&6. \, \boxed{-24} & 14. \, \boxed{-4} \\
&7. \, \boxed{-15} & 15. \, \boxed{-19} \\
&8. \, \boxed{2} & 16. \, \boxed{-33} \\
&9. \, \boxed{49} & 17. \, \boxed{-5} \\
&10. \, \boxed{0} & 18. \, \boxed{-70} \\
&11. \, \boxed{9} & 19. \, \boxed{9} \\
&12. \, \boxed{-60} & 20. \, \boxed{60} \\
\end{aligned}
\]

Boxed Final Answer:
\[
\boxed{
\begin{aligned}
&5. \, -5 & 13. \, 10 \\
&6. \, -24 & 14. \, -4 \\
&7. \, -15 & 15. \, -19 \\
&8. \, 2 & 16. \, -33 \\
&9. \, 49 & 17. \, -5 \\
&10. \, 0 & 18. \, -70 \\
&11. \, 9 & 19. \, 9 \\
&12. \, -60 & 20. \, 60 \\
\end{aligned}
}
\]