Spooky Integers Worksheet Answers
The Spooky Integers Worksheet is a fun and interactive way for students to practice working with integers. In this post, we’ll go over the answers to the worksheet and provide explanations for each problem.
Section 1: Integer Operations
| Problem | Answer |
|---|---|
| 1. 5 + (-3) =? | 2 |
| 2. -2 - 4 =? | -6 |
| 3. 7 - (-2) =? | 9 |
| 4. -1 + 1 =? | 0 |
| 5. 3 - 1 =? | 2 |
Explanation:
When adding or subtracting integers, we need to follow the rules of integer operations.
- When adding integers with the same sign, we add their absolute values and keep the same sign. For example, 5 + (-3) = 2, because 5 and -3 have different signs.
- When adding integers with different signs, we subtract their absolute values and take the sign of the number with the larger absolute value. For example, -2 - 4 = -6, because -2 and 4 have different signs.
- When subtracting integers, we can think of it as adding the opposite. For example, 7 - (-2) = 7 + 2 = 9.
Section 2: Integer Word Problems
| Problem | Answer |
|---|---|
| 1. Tom has 5 boxes of pens to deliver to the office. Each box contains -3 pens. How many pens does Tom have in total? | -10 |
| 2. A plane is flying at an altitude of -2,000 feet. If it descends 4,000 feet, what is its new altitude? | -6,000 |
| 3. Sarah has 7 stickers in her collection. She gives -2 stickers to her friend. How many stickers does Sarah have left? | 9 |
Explanation:
Word problems can be tricky, but we can use the rules of integer operations to solve them.
- In problem 1, Tom has 5 boxes of pens, but each box contains -3 pens. This means that each box actually has 3 pens, but they are being subtracted from the total. So, Tom has 5 x -3 = -10 pens.
- In problem 2, the plane is flying at an altitude of -2,000 feet, which means it is 2,000 feet below sea level. If it descends 4,000 feet, it will be 2,000 + 4,000 = 6,000 feet below sea level.
- In problem 3, Sarah has 7 stickers and gives -2 stickers to her friend. This means that she actually gave 2 stickers to her friend, so she has 7 - 2 = 5 stickers left.
Section 3: Integer Challenges
| Problem | Answer |
|---|---|
| 1. What is the sum of the integers from -3 to 3? | 0 |
| 2. What is the product of the integers from -2 to 2? | 0 |
| 3. What is the difference between the sum of the positive integers from 1 to 5 and the sum of the negative integers from -1 to -5? | 20 |
Explanation:
These challenges require us to think creatively about integers.
- In problem 1, we need to find the sum of the integers from -3 to 3. We can do this by listing out the integers and adding them up: -3 + -2 + -1 + 0 + 1 + 2 + 3 = 0.
- In problem 2, we need to find the product of the integers from -2 to 2. We can do this by listing out the integers and multiplying them: -2 x -1 x 0 x 1 x 2 = 0.
- In problem 3, we need to find the difference between the sum of the positive integers from 1 to 5 and the sum of the negative integers from -1 to -5. We can do this by listing out the integers and adding them up: 1 + 2 + 3 + 4 + 5 = 15, and -1 + -2 + -3 + -4 + -5 = -15. The difference between these two sums is 15 - (-15) = 30.
Conclusion:
We hope this post has helped you understand the answers to the Spooky Integers Worksheet. Remember to always follow the rules of integer operations and to think creatively when solving word problems and challenges. With practice, you’ll become a master of integers in no time!
What is an integer?
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An integer is a whole number, either positive, negative, or zero, without a fractional part.
What are the rules of integer operations?
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The rules of integer operations are: when adding integers with the same sign, add their absolute values and keep the same sign; when adding integers with different signs, subtract their absolute values and take the sign of the number with the larger absolute value; when subtracting integers, think of it as adding the opposite.
How do I solve word problems involving integers?
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To solve word problems involving integers, read the problem carefully and identify the integers involved. Use the rules of integer operations to solve the problem, and think creatively about how the integers relate to each other.
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