It looks like you've uploaded a worksheet titled
"Integers and Absolute Value" (Homework 23.1), which includes exercises on finding absolute values, opposites of integers, and problem-solving. Since I can't view images directly, I’ll help you solve the problems based on the typical content of such worksheets.
Let me walk through the common types of problems found on this worksheet and provide solutions with explanations. If your image contains specific numbers or variations, please describe them, but here’s a general guide:
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🔹 Section 1: Finding Absolute Value
The
absolute value of a number is its distance from zero on the number line, regardless of direction. It's always
non-negative.
Examples:
- |−5| = 5
- |7| = 7
- |0| = 0
#### Example Problems (Typical):
1. |−12| =
12
2. |8| =
8
3. |−45| =
45
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✔ Rule: The absolute value of any negative number is its positive version; for positive numbers, it stays the same.
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🔹 Section 2: Write the Opposite of Each Integer
The
opposite of a number is the number with the same magnitude but opposite sign.
Examples:
- Opposite of 12 →
−12
- Opposite of −7 →
7
- Opposite of 0 →
0
#### Example Problems:
4. Opposite of 12 →
−12
5. Opposite of −36 →
36
6. Opposite of 247 →
−247
7. Opposite of −67 →
67
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✔ Rule: Flip the sign.
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🔹 Section 3: Write the Absolute Value of Each Integer
This section repeats the concept from Section 1.
#### Example Problems:
8. |−35| =
35
9. |110| =
110
10. |−70| =
70
11. |214| =
214
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✔ Always return the
positive value.
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🔹 Section 4: Problem Solving
These questions test conceptual understanding.
#### Example Problem:
12. Name a pair of integers with the same absolute value.
✔ Answer: Any two numbers that are opposites, such as:
- 5 and −5 → both have absolute value 5
- −10 and 10 → both have absolute value 10
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✔ So, one correct answer is:
5 and −5
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🔹 How to Solve Step-by-Step:
1.
Identify whether the task is asking for:
- Absolute value (distance from zero)
- Opposite (flip the sign)
- Or a comparison
2.
Apply rules:
- Absolute value: remove the negative sign if present.
- Opposite: change the sign.
3.
Check signs carefully—especially with negatives.
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✔ Final Tips:
- Absolute value is
always ≥ 0
- Opposites are symmetric around zero
- Use number lines to visualize when unsure
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If you can
describe the exact numbers in your worksheet (e.g., "Problem 4 is |−23|", or "Find the opposite of −8"), I can give you
precise answers for each.
Would you like me to solve specific problems from your worksheet? Just list them!
Parent Tip: Review the logic above to help your child master the concept of integers and absolute value worksheet.
