Problem Description:
The task involves completing addition sentences by using the figures provided in the image and finding the sum. Each figure represents a segment on a number line, and the goal is to determine the length of each segment and then add them together.
Solution:
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Step 1: Understand the Number Line
Each number line is divided into segments, and the lengths of these segments need to be determined. The starting and ending points of each arc on the number line indicate the length of the segment.
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Step 2: Analyze Each Problem
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Problem 1:
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First Segment: The green arc starts at 0 and ends at 5. The length is \( 5 - 0 = 5 \).
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Second Segment: The blue arc starts at 5 and ends at 7. The length is \( 7 - 5 = 2 \).
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Third Segment: The black arc starts at 7 and ends at 9. The length is \( 9 - 7 = 2 \).
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Sum: \( 5 + 2 + 2 = 9 \).
So, the completed sentence is:
\[ 5 + 2 + 2 = 9 \]
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Problem 2:
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First Segment: The green arc starts at 0 and ends at 6. The length is \( 6 - 0 = 6 \).
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Second Segment: The blue arc starts at 6 and ends at 8. The length is \( 8 - 6 = 2 \).
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Third Segment: The black arc starts at 8 and ends at 13. The length is \( 13 - 8 = 5 \).
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Sum: \( 6 + 2 + 5 = 13 \).
So, the completed sentence is:
\[ 6 + 2 + 5 = 13 \]
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Problem 3:
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First Segment: The green arc starts at 0 and ends at 3. The length is \( 3 - 0 = 3 \).
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Second Segment: The blue arc starts at 3 and ends at 6. The length is \( 6 - 3 = 3 \).
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Third Segment: The black arc starts at 6 and ends at 11. The length is \( 11 - 6 = 5 \).
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Sum: \( 3 + 3 + 5 = 11 \).
So, the completed sentence is:
\[ 3 + 3 + 5 = 11 \]
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Problem 4:
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First Segment: The green arc starts at 0 and ends at 4. The length is \( 4 - 0 = 4 \).
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Second Segment: The blue arc starts at 4 and ends at 8. The length is \( 8 - 4 = 4 \).
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Third Segment: The black arc starts at 8 and ends at 14. The length is \( 14 - 8 = 6 \).
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Sum: \( 4 + 4 + 6 = 14 \).
So, the completed sentence is:
\[ 4 + 4 + 6 = 14 \]
Final Answers:
1. \( 5 + 2 + 2 = 9 \)
2. \( 6 + 2 + 5 = 13 \)
3. \( 3 + 3 + 5 = 11 \)
4. \( 4 + 4 + 6 = 14 \)
\[
\boxed{9, 13, 11, 14}
\]
Parent Tip: Review the logic above to help your child master the concept of using number line worksheet.