Let's solve the problem step by step.
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A) Plot the integers on the number line, and write them in increasing order
We will:
1. Plot each set of integers on the number line.
2. List them from smallest to largest (increasing order).
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1) 8, -6, 5, 3
- Numbers: 8, -6, 5, 3
- On a number line: -6 is far left, then 3, then 5, then 8.
- Increasing order:
-6, 3, 5, 8
✔ Answer: -6, 3, 5, 8
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2) 9, 4, -3, -1
- Numbers: 9, 4, -3, -1
- Order from smallest to largest: -3, -1, 4, 9
✔ Answer: -3, -1, 4, 9
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3) 7, -2, 1, -10
- Numbers: 7, -2, 1, -10
- Order: -10, -2, 1, 7
✔ Answer: -10, -2, 1, 7
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B) Plot the integers on the number line, and write them in decreasing order
Now we list from
largest to smallest.
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1) -4, 6, 2, -5
- Numbers: -4, 6, 2, -5
- Largest to smallest: 6, 2, -4, -5
✔ Answer: 6, 2, -4, -5
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2) 10, -7, 5, -9
- Numbers: 10, -7, 5, -9
- Order: 10, 5, -7, -9
✔ Answer: 10, 5, -7, -9
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3) -8, 7, -3, 4
- Numbers: -8, 7, -3, 4
- Order: 7, 4, -3, -8
✔ Answer: 7, 4, -3, -8
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✔ Final Answers:
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A) Increasing Order
1) -6, 3, 5, 8
2) -3, -1, 4, 9
3) -10, -2, 1, 7
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B) Decreasing Order
1) 6, 2, -4, -5
2) 10, 5, -7, -9
3) 7, 4, -3, -8
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📌 Explanation:
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Increasing order: Start from the most negative (leftmost) to the most positive (rightmost).
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Decreasing order: Start from the most positive (rightmost) to the most negative (leftmost).
- Always compare integers using the number line: numbers to the right are greater than those to the left.
You can now plot these points on the number lines provided in the worksheet accordingly.
Parent Tip: Review the logic above to help your child master the concept of ordering numbers on a number line worksheet.