Let's solve the problem step by step.
---
A) Write the opposite value of each integer.
The
opposite value of an integer is the number with the same magnitude (absolute value) but the opposite sign.
- If the number is positive, its opposite is negative.
- If the number is negative, its opposite is positive.
#### Solutions:
1) Opposite of 79 →
-79
2) Opposite of 47 →
-47
3) Opposite of -54 →
54
4) Opposite of 3 →
-3
5) Opposite of -10 →
10
6) Opposite of -32 →
32
7) Opposite of -21 →
21
8) Opposite of -65 →
65
---
B) Mark each integer and its opposite value on the number line.
We are given a number line from -9 to 9. For each integer, we need to:
- Locate the integer.
- Locate its opposite.
- Mark both points.
Let’s go through each one.
---
#### 1) -4
- Integer:
-4
- Opposite:
4
- On the number line:
- Place a mark at
-4
- Place a mark at
4
✔ Both are equidistant from 0, on opposite sides.
---
#### 2) 6
- Integer:
6
- Opposite:
-6
- On the number line:
- Mark
6
- Mark
-6
✔ Again, symmetric about 0.
---
#### 3) -1
- Integer:
-1
- Opposite:
1
- Mark
-1 and
1
✔ These are one unit left and right of 0.
---
#### 4) -5
- Integer:
-5
- Opposite:
5
- Mark
-5 and
5
✔ Symmetric around 0.
---
✔ Final Answers:
####
Part A:
1) -79
2) -47
3) 54
4) -3
5) 10
6) 32
7) 21
8) 65
####
Part B:
On each number line:
1) Mark
-4 and
4
2) Mark
6 and
-6
3) Mark
-1 and
1
4) Mark
-5 and
5
> 🔍
Explanation: The opposite of a number is the same distance from zero but on the other side of the number line. This concept helps understand symmetry in integers.
Let me know if you'd like a visual sketch or further explanation!
Parent Tip: Review the logic above to help your child master the concept of integers worksheet with answer key.