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"Adding, Subtracting, Multiplying and Dividing Integers (A) Answers" from
Math-Drills.com. The worksheet contains a list of integer operations (addition, subtraction, multiplication, and division), along with their correct answers.
Since this is the
answer key, it appears that the original problem was already solved. However, I can help you
understand how to solve each type of operation involved in these problems, and walk through a few examples to explain the reasoning behind the solutions.
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🔢 Overview of Integer Operations:
#### 1.
Addition
- Same signs: Add absolute values, keep the sign.
- Example: $ 31 + 50 = 81 $
- Different signs: Subtract smaller absolute value from larger, use the sign of the larger.
- Example: $ 50 + (-49) = 1 $
#### 2.
Subtraction
- Change subtraction to addition by adding the opposite.
- Example: $ 31 - 37 = 31 + (-37) = -6 $
#### 3.
Multiplication
- Same signs: Positive
- Different signs: Negative
- Example: $ -15 \times -38 = 570 $ (negative × negative = positive)
- Example: $ -35 \times 27 = -945 $ (negative × positive = negative)
#### 4.
Division
- Same signs: Positive
- Different signs: Negative
- Example: $ 672 \div 42 = 16 $
- Example: $ -1848 \div -44 = 42 $ (negative ÷ negative = positive)
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✔ Let's Walk Through a Few Examples:
#### Example 1: $ 31 - 37 $
- This is subtraction: $ 31 + (-37) $
- Since $ 37 > 31 $, result is negative: $ -(37 - 31) = -6 $
✔ Answer:
-6
#### Example 2: $ -15 \times -38 $
- Negative × Negative = Positive
- $ 15 \times 38 = 570 $
✔ Answer:
570
#### Example 3: $ 672 \div 42 $
- Divide: $ 672 \div 42 = 16 $
✔ Answer:
16
#### Example 4: $ -30 - 43 $
- Rewrite: $ -30 + (-43) = -73 $
✔ Answer:
-73
#### Example 5: $ 24 \times 45 $
- Multiply: $ 24 \times 45 = 1080 $
✔ Answer:
1080
#### Example 6: $ -2068 \div -47 $
- Negative ÷ Negative = Positive
- $ 2068 \div 47 = 44 $
✔ Answer:
44
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🧠 Tips for Solving These Problems:
1.
Sign rules are crucial: Remember:
- $ + \times + = + $
- $ - \times - = + $
- $ + \times - = - $
- Same for division.
2.
Convert subtraction to addition: Always change $ a - b $ to $ a + (-b) $
3.
Use absolute values when comparing or subtracting.
4.
Double-check signs — they’re the most common source of errors.
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📌 Final Note:
The answer sheet you provided is
correct and matches standard arithmetic rules. If your goal was to verify answers or understand how to solve such problems, this guide explains the logic behind each step.
If you’d like me to:
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Parent Tip: Review the logic above to help your child master the concept of add subtract multiply divide integers worksheet.
