Let’s solve each part step by step.
---
Part a: Label these integers on the number line below. -6, 8, -9, 0, 2, -2
We are given a number line with marks from left to right. We know that:
- The mark labeled “-7” is shown.
- The mark labeled “9” is shown at the far right.
So we can figure out where each integer goes:
Start from -7 and count:
Left of -7:
→ -8, then
-9 (so -9 is two marks left of -7)
Right of -7:
→ -6 (one mark right of -7)
→ -5, -4, -3, -2 (four more marks right) → so
-2 is five marks right of -7
→ -1,
0 (two more) →
0 is seven marks right of -7
→
2 is nine marks right of -7
→ Keep going: 3,4,5,6,7,
8 →
8 is fifteen marks right of -7? Wait — let’s check the total length.
Actually, since 9 is marked at the end, and -7 is near the left, let’s assume each tick is 1 unit.
From -7 to 9 is 16 units apart → so there should be 16 ticks between them? But in the image, it looks like there are about 16 small lines from -7 to 9.
But we don’t need to overcomplicate — just place the numbers correctly relative to each other.
List of numbers to place: -9, -6, -2, 0, 2, 8
Order from smallest to largest:
-9, -6, -2, 0, 2, 8
On the number line:
- Leftmost:
-9
- Then moving right:
-6
- Then
-2
- Then
0 (center)
- Then
2
- Then
8 (close to the right end, before 9)
✔ So label those positions accordingly.
---
Part b: Write the opposite integer for the numbers below.
Opposite means same distance from zero but on the other side.
+19 → opposite is
-19
-46 → opposite is
+46 or just
46
-61 → opposite is
61
13 → opposite is
-13
✔ Answers:
+19 →
-19
-46 →
46
-61 →
61
13 →
-13
---
**Part c: Arrange the following integers in descending order.
Numbers: -5, 3, 10, -7, 2**
Descending = from biggest to smallest.
Biggest:
10
Then:
3
Then:
2
Then:
-5
Smallest:
-7
✔ Order:
10, 3, 2, -5, -7
---
**Part d: Arrange the following integers in ascending order.
Numbers: -1, 8, 0, -3, -20**
Ascending = from smallest to biggest.
Smallest:
-20
Then:
-3
Then:
-1
Then:
0
Biggest:
8
✔ Order:
-20, -3, -1, 0, 8
---
Final Answer:
a. On the number line, label from left to right:
-9 (left of -7), -6 (right of -7), -2, 0, 2, 8 (near 9)
b. Opposites:
+19 →
-19
-46 →
46
-61 →
61
13 →
-13
c. Descending order:
10, 3, 2, -5, -7
d. Ascending order:
-20, -3, -1, 0, 8
Parent Tip: Review the logic above to help your child master the concept of 6th grade integers worksheet.
