Problem Description:
The task involves solving a series of arithmetic operations involving integers and the four basic operations: addition, subtraction, multiplication, and division. The worksheet is titled "Integers and Four Operations," and it consists of 12 problems.
Solution:
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Problem 1: \( 25 - (-9) \)
- Subtracting a negative number is equivalent to adding the positive counterpart.
- \( 25 - (-9) = 25 + 9 = 34 \)
Answer: \( 34 \)
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Problem 2: \( 12 \times 8 \)
- Multiply the two numbers.
- \( 12 \times 8 = 96 \)
Answer: \( 96 \)
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Problem 3: \( -5 \div 2 \)
- Divide \(-5\) by \(2\).
- \( -5 \div 2 = -2.5 \)
Answer: \( -2.5 \)
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Problem 4: \( 18 - (-7) \)
- Subtracting a negative number is equivalent to adding the positive counterpart.
- \( 18 - (-7) = 18 + 7 = 25 \)
Answer: \( 25 \)
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Problem 5: \( 7 \times 5 \)
- Multiply the two numbers.
- \( 7 \times 5 = 35 \)
Answer: \( 35 \)
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Problem 6: \( 48 + 24 \)
- Add the two numbers.
- \( 48 + 24 = 72 \)
Answer: \( 72 \)
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Problem 7: \( 12 + (-24) \)
- Adding a negative number is equivalent to subtracting the positive counterpart.
- \( 12 + (-24) = 12 - 24 = -12 \)
Answer: \( -12 \)
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Problem 8: \( 3 \div 2 \)
- Divide \(3\) by \(2\).
- \( 3 \div 2 = 1.5 \)
Answer: \( 1.5 \)
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Problem 9: \( -5 \times (-10) \)
- Multiplying two negative numbers results in a positive number.
- \( -5 \times (-10) = 50 \)
Answer: \( 50 \)
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Problem 10: \( 63 \div 2 \)
- Divide \(63\) by \(2\).
- \( 63 \div 2 = 31.5 \)
Answer: \( 31.5 \)
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Problem 11: \( 20 + (-26) \)
- Adding a negative number is equivalent to subtracting the positive counterpart.
- \( 20 + (-26) = 20 - 26 = -6 \)
Answer: \( -6 \)
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Problem 12: \( -17 - (-30) \)
- Subtracting a negative number is equivalent to adding the positive counterpart.
- \( -17 - (-30) = -17 + 30 = 13 \)
Answer: \( 13 \)
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Final Answers:
1. \( 34 \)
2. \( 96 \)
3. \( -2.5 \)
4. \( 25 \)
5. \( 35 \)
6. \( 72 \)
7. \( -12 \)
8. \( 1.5 \)
9. \( 50 \)
10. \( 31.5 \)
11. \( -6 \)
12. \( 13 \)
Boxed Final Answer:
\[
\boxed{34, 96, -2.5, 25, 35, 72, -12, 1.5, 50, 31.5, -6, 13}
\]
Parent Tip: Review the logic above to help your child master the concept of all operations with integers worksheet.
