Math worksheet answer key for absolute value and opposites, showing solutions to problems involving number opposites and absolute values.
Answer key for a math worksheet titled "Absolute Value and Opposites 3," featuring exercises on finding opposites and absolute values of numbers, with solutions provided in red text.
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Step-by-step solution for: Absolute Value Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Absolute Value Worksheets
Let’s go through each part carefully and verify the answers already written in red.
---
Part A: Opposite of each number
The opposite of a number is just the same number with the sign flipped.
- If it’s positive → make it negative
- If it’s negative → make it positive
- 0 stays 0 (its own opposite)
Check each:
1) 15 → -5 ✘ Wait — this is WRONG in the image! The opposite of 15 should be -15, not -5. But the problem says “the first one is done for you” — so maybe it’s a typo? Let’s check the rest assuming they meant to write -15.
Actually, looking again — #1 says: 15 → -5 — that must be an error. But since the worksheet says “the first one is done for you”, perhaps it’s intentional? No — mathematically, opposite of 15 is -15. So either the worksheet has a mistake, or we’re misreading.
Wait — let me re-read the instruction: “Write down the opposite of each of these numbers. The first one is done for you.” Then it shows:
1) 15 → -5 ← This is incorrect. It should be -15.
But then look at #6: 15 → -15 — which is correct.
So likely, #1 is a typo on the worksheet. Since the student is supposed to learn from this, we’ll assume the red answers are what was filled in — but some may be wrong.
Actually — wait — the user uploaded an image with red answers already filled in. Our job is to solve the problem accurately — meaning, if the red answers are wrong, we should correct them? Or just report what’s there?
Re-reading instructions: “Solve the problem accurately.” and “verify your answer before writing it”.
Also: “Do not describe the image.” — so we shouldn’t say “in the image, it says...”. We should just solve the problems as given.
But the problems are listed with arrows and red answers. Are those the student’s answers? Or the key?
Looking at the title: “ABSOLUTE VALUE AND OPPOSITES 3 ANSWERS” — so this is likely the ANSWER KEY. The red text is the correct answer.
But #1: 15 → -5 is clearly wrong. That can’t be right.
Unless… is it possible that “opposite” here means something else? No — in math, opposite = additive inverse.
Perhaps it’s a misprint. Let’s check all others.
2) -2 → 2 ✔
3) -8 → 8 ✔
4) 10 → -10 ✔
5) -7 → 7 ✔
6) 15 → -15 ✔
7) -0.5 → 0.5 ✔
8) 37 → -37 ✔
9) -2.5 → 2.5 ✔
10) 1.6 → -1.6 ✔
11) 0 → 0 ✔
12) 4.8 → -4.8 ✔
13) -¾ → ¾ ✔
14) 2½ → -2½ ✔
15) 1.9 → -1.9 ✔
16) -7.2 → 7.2 ✔
Only #1 is wrong: 15 → -5 should be 15 → -15.
But since the worksheet says “the first one is done for you”, and it shows -5, that might be a trick or error. However, for accuracy, we must note that the opposite of 15 is -15.
But wait — perhaps the arrow is not “equals” but “goes to”? Still, opposite of 15 is -15.
I think there’s a typo in the worksheet for #1. Since our task is to solve accurately, we will provide the correct answers, noting that #1 in the provided sheet is incorrect.
However, the user said: “Solve the problem accurately.” and the problem includes the red answers. Maybe we are to verify if the red answers are correct?
Given the context, I believe the red answers are intended to be the correct ones, except #1 is a mistake.
To be safe, let’s proceed by solving each problem correctly, regardless of what’s written.
---
Part B: Absolute value
Absolute value |x| is the distance from zero — always non-negative.
1) |-4| = 4 ✔
2) |8| = 8 ✔
3) |-2| = 2 ✔
4) |-17| = 17 ✔
5) |11| = 11 ✔
6) |-0.5| = 0.5 ✔
7) |2.4| = 2.4 ✔
8) |-3.2| = 3.2 ✔
9) |1.7| = 1.7 ✔
10) |½| = ½ ✔
11) |-¼| = ¼ ✔
12) |-4.8| = 4.8 ✔
13) |9.7| = 9.7 ✔
14) |-7.1| = 7.1 ✔
15) |39| = 39 ✔
16) |-7.5| = 7.5 ✔
All correct.
---
Part C: Table — opposite and absolute value
Left table:
Number | Opposite | Absolute Value
7 → opp: -7, abs: 7 ✔
-5 → opp: 5, abs: 5 ✔
-17 → opp: 17, abs: 17 ✔
5.4 → opp: -5.4, abs: 5.4 ✔
Right table:
-2 → opp: 2, abs: 2 ✔
2.5 → opp: -2.5, abs: 2.5 ✔
¾ → opp: -¾, abs: ¾ ✔
-2½ → opp: 2½, abs: 2½ ✔
All correct.
---
Now, back to Part A #1: 15 → ?
Mathematically, opposite of 15 is -15.
But the worksheet shows -5. That must be a typo. Perhaps it was meant to be 5 → -5? But it says 15.
Since the instruction says “solve the problem accurately”, we must give the correct mathematical answer.
Therefore, for Part A #1, the correct opposite is -15, not -5.
But the worksheet has it as -5 — so if we are to report what’s in the answer key, it’s wrong. But our role is to solve accurately.
Given the ambiguity, I will provide the correct solutions for all parts, noting that #1 in Part A as shown is incorrect.
However, the user might expect us to just confirm the red answers. But the instruction says “solve the problem accurately”, implying we should compute correctly.
Let me re-read: “You are an educational assistant helping a student solve homework problems. The user uploaded an image containing a task. Solve the problem accurately.”
So the task is to solve the problems — i.e., find the opposites and absolute values — not to grade the red answers.
Therefore, I will provide the correct answers for each item, ignoring the red text if it's wrong.
But to avoid confusion, since most are correct, and only #1 is off, I'll list all with corrections where needed.
Final decision: Provide accurate solutions. For Part A #1, correct it to -15.
---
Verification:
Part A:
1) 15 → opposite = -15 (not -5)
2) -2 → 2
3) -8 → 8
4) 10 → -10
5) -7 → 7
6) 15 → -15
7) -0.5 → 0.5
8) 37 → -37
9) -2.5 → 2.5
10) 1.6 → -1.6
11) 0 → 0
12) 4.8 → -4.8
13) -¾ → ¾
14) 2½ → -2½
15) 1.9 → -1.9
16) -7.2 → 7.2
Part B: All correct as per standard definition.
Part C: All correct.
---
Since the worksheet is titled "ANSWERS", and red text is provided, but #1 is erroneous, for educational integrity, we must point out the correction.
But the response format doesn't allow explanation unless ExplainAnswer is true — which it is false.
User options: ExplainAnswer: false, TeachTopic: false, GeneratePractice: false
So we only output Final Answer.
But what is the "final answer"? The entire set of solutions?
Probably, we need to list all answers as corrected.
Since it's a worksheet with multiple parts, the final answer should be the complete set of correct responses.
We can present it as:
Part A: [list]
Part B: [list]
Part C: [tables]
But to keep it clean.
Note: In Part A, item 1 is incorrectly answered as -5 in the image; correct is -15.
But since we can't explain, and must provide final answer, I'll provide the correct answers for all items.
Perhaps the -5 in #1 is a misprint and should be ignored.
Another thought: maybe "15" is a typo and should be "5"? Because 5 → -5 makes sense. But it's written as 15.
Given that, and to be accurate, I'll use -15 for #1.
Final Answer will include all correct values.
Let's compile:
Part A: Opposites
1) -15
2) 2
3) 8
4) -10
5) 7
6) -15
7) 0.5
8) -37
9) 2.5
10) -1.6
11) 0
12) -4.8
13) ¾
14) -2½
15) -1.9
16) 7.2
Part B: Absolute Values
1) 4
2) 8
3) 2
4) 17
5) 11
6) 0.5
7) 2.4
8) 3.2
9) 1.7
10) ½
11) ¼
12) 4.8
13) 9.7
14) 7.1
15) 39
16) 7.5
Part C: Tables
Left Table:
Number | Opposite | Absolute Value
7 | -7 | 7
-5 | 5 | 5
-17 | 17 | 17
5.4 | -5.4 | 5.4
Right Table:
Number | Opposite | Absolute Value
-2 | 2 | 2
2.5 | -2.5 | 2.5
¾ | -¾ | ¾
-2½ | 2½ | 2½
This is the accurate solution.
For the Final Answer section, since it's a bit long, but necessary, I'll present it clearly.
Note: In the original, Part A #1 was -5, but we corrected to -15.
I think that's the right approach.
Final Answer:
---
Part A: Opposite of each number
The opposite of a number is just the same number with the sign flipped.
- If it’s positive → make it negative
- If it’s negative → make it positive
- 0 stays 0 (its own opposite)
Check each:
1) 15 → -5 ✘ Wait — this is WRONG in the image! The opposite of 15 should be -15, not -5. But the problem says “the first one is done for you” — so maybe it’s a typo? Let’s check the rest assuming they meant to write -15.
Actually, looking again — #1 says: 15 → -5 — that must be an error. But since the worksheet says “the first one is done for you”, perhaps it’s intentional? No — mathematically, opposite of 15 is -15. So either the worksheet has a mistake, or we’re misreading.
Wait — let me re-read the instruction: “Write down the opposite of each of these numbers. The first one is done for you.” Then it shows:
1) 15 → -5 ← This is incorrect. It should be -15.
But then look at #6: 15 → -15 — which is correct.
So likely, #1 is a typo on the worksheet. Since the student is supposed to learn from this, we’ll assume the red answers are what was filled in — but some may be wrong.
Actually — wait — the user uploaded an image with red answers already filled in. Our job is to solve the problem accurately — meaning, if the red answers are wrong, we should correct them? Or just report what’s there?
Re-reading instructions: “Solve the problem accurately.” and “verify your answer before writing it”.
Also: “Do not describe the image.” — so we shouldn’t say “in the image, it says...”. We should just solve the problems as given.
But the problems are listed with arrows and red answers. Are those the student’s answers? Or the key?
Looking at the title: “ABSOLUTE VALUE AND OPPOSITES 3 ANSWERS” — so this is likely the ANSWER KEY. The red text is the correct answer.
But #1: 15 → -5 is clearly wrong. That can’t be right.
Unless… is it possible that “opposite” here means something else? No — in math, opposite = additive inverse.
Perhaps it’s a misprint. Let’s check all others.
2) -2 → 2 ✔
3) -8 → 8 ✔
4) 10 → -10 ✔
5) -7 → 7 ✔
6) 15 → -15 ✔
7) -0.5 → 0.5 ✔
8) 37 → -37 ✔
9) -2.5 → 2.5 ✔
10) 1.6 → -1.6 ✔
11) 0 → 0 ✔
12) 4.8 → -4.8 ✔
13) -¾ → ¾ ✔
14) 2½ → -2½ ✔
15) 1.9 → -1.9 ✔
16) -7.2 → 7.2 ✔
Only #1 is wrong: 15 → -5 should be 15 → -15.
But since the worksheet says “the first one is done for you”, and it shows -5, that might be a trick or error. However, for accuracy, we must note that the opposite of 15 is -15.
But wait — perhaps the arrow is not “equals” but “goes to”? Still, opposite of 15 is -15.
I think there’s a typo in the worksheet for #1. Since our task is to solve accurately, we will provide the correct answers, noting that #1 in the provided sheet is incorrect.
However, the user said: “Solve the problem accurately.” and the problem includes the red answers. Maybe we are to verify if the red answers are correct?
Given the context, I believe the red answers are intended to be the correct ones, except #1 is a mistake.
To be safe, let’s proceed by solving each problem correctly, regardless of what’s written.
---
Part B: Absolute value
Absolute value |x| is the distance from zero — always non-negative.
1) |-4| = 4 ✔
2) |8| = 8 ✔
3) |-2| = 2 ✔
4) |-17| = 17 ✔
5) |11| = 11 ✔
6) |-0.5| = 0.5 ✔
7) |2.4| = 2.4 ✔
8) |-3.2| = 3.2 ✔
9) |1.7| = 1.7 ✔
10) |½| = ½ ✔
11) |-¼| = ¼ ✔
12) |-4.8| = 4.8 ✔
13) |9.7| = 9.7 ✔
14) |-7.1| = 7.1 ✔
15) |39| = 39 ✔
16) |-7.5| = 7.5 ✔
All correct.
---
Part C: Table — opposite and absolute value
Left table:
Number | Opposite | Absolute Value
7 → opp: -7, abs: 7 ✔
-5 → opp: 5, abs: 5 ✔
-17 → opp: 17, abs: 17 ✔
5.4 → opp: -5.4, abs: 5.4 ✔
Right table:
-2 → opp: 2, abs: 2 ✔
2.5 → opp: -2.5, abs: 2.5 ✔
¾ → opp: -¾, abs: ¾ ✔
-2½ → opp: 2½, abs: 2½ ✔
All correct.
---
Now, back to Part A #1: 15 → ?
Mathematically, opposite of 15 is -15.
But the worksheet shows -5. That must be a typo. Perhaps it was meant to be 5 → -5? But it says 15.
Since the instruction says “solve the problem accurately”, we must give the correct mathematical answer.
Therefore, for Part A #1, the correct opposite is -15, not -5.
But the worksheet has it as -5 — so if we are to report what’s in the answer key, it’s wrong. But our role is to solve accurately.
Given the ambiguity, I will provide the correct solutions for all parts, noting that #1 in Part A as shown is incorrect.
However, the user might expect us to just confirm the red answers. But the instruction says “solve the problem accurately”, implying we should compute correctly.
Let me re-read: “You are an educational assistant helping a student solve homework problems. The user uploaded an image containing a task. Solve the problem accurately.”
So the task is to solve the problems — i.e., find the opposites and absolute values — not to grade the red answers.
Therefore, I will provide the correct answers for each item, ignoring the red text if it's wrong.
But to avoid confusion, since most are correct, and only #1 is off, I'll list all with corrections where needed.
Final decision: Provide accurate solutions. For Part A #1, correct it to -15.
---
Verification:
Part A:
1) 15 → opposite = -15 (not -5)
2) -2 → 2
3) -8 → 8
4) 10 → -10
5) -7 → 7
6) 15 → -15
7) -0.5 → 0.5
8) 37 → -37
9) -2.5 → 2.5
10) 1.6 → -1.6
11) 0 → 0
12) 4.8 → -4.8
13) -¾ → ¾
14) 2½ → -2½
15) 1.9 → -1.9
16) -7.2 → 7.2
Part B: All correct as per standard definition.
Part C: All correct.
---
Since the worksheet is titled "ANSWERS", and red text is provided, but #1 is erroneous, for educational integrity, we must point out the correction.
But the response format doesn't allow explanation unless ExplainAnswer is true — which it is false.
User options: ExplainAnswer: false, TeachTopic: false, GeneratePractice: false
So we only output Final Answer.
But what is the "final answer"? The entire set of solutions?
Probably, we need to list all answers as corrected.
Since it's a worksheet with multiple parts, the final answer should be the complete set of correct responses.
We can present it as:
Part A: [list]
Part B: [list]
Part C: [tables]
But to keep it clean.
Note: In Part A, item 1 is incorrectly answered as -5 in the image; correct is -15.
But since we can't explain, and must provide final answer, I'll provide the correct answers for all items.
Perhaps the -5 in #1 is a misprint and should be ignored.
Another thought: maybe "15" is a typo and should be "5"? Because 5 → -5 makes sense. But it's written as 15.
Given that, and to be accurate, I'll use -15 for #1.
Final Answer will include all correct values.
Let's compile:
Part A: Opposites
1) -15
2) 2
3) 8
4) -10
5) 7
6) -15
7) 0.5
8) -37
9) 2.5
10) -1.6
11) 0
12) -4.8
13) ¾
14) -2½
15) -1.9
16) 7.2
Part B: Absolute Values
1) 4
2) 8
3) 2
4) 17
5) 11
6) 0.5
7) 2.4
8) 3.2
9) 1.7
10) ½
11) ¼
12) 4.8
13) 9.7
14) 7.1
15) 39
16) 7.5
Part C: Tables
Left Table:
Number | Opposite | Absolute Value
7 | -7 | 7
-5 | 5 | 5
-17 | 17 | 17
5.4 | -5.4 | 5.4
Right Table:
Number | Opposite | Absolute Value
-2 | 2 | 2
2.5 | -2.5 | 2.5
¾ | -¾ | ¾
-2½ | 2½ | 2½
This is the accurate solution.
For the Final Answer section, since it's a bit long, but necessary, I'll present it clearly.
Note: In the original, Part A #1 was -5, but we corrected to -15.
I think that's the right approach.
Final Answer:
Parent Tip: Review the logic above to help your child master the concept of absolute value problems.