Math Problem Statement
Give the interval of each number line and create a number line with an interval of 7. Describe how a number line works.
Solution
Let's go through the worksheet step by step:
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Top Number Line: You have a number line from to , and two blanks at and are already filled in.
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Second Section (Intervals):
- The task here asks to determine the interval (the difference between consecutive numbers) for each line.
- The first line ranges from to . The numbers are evenly spaced: . The difference between consecutive numbers is . So, the interval is 4.
- The second line ranges from to . The numbers are: , with a difference of between consecutive numbers. So, the interval is 15.
- The third line ranges from to : . The interval between the numbers is , so the interval is 3.
- The fourth line ranges from to : . The difference between numbers is , so the interval is 4.
- The task here asks to determine the interval (the difference between consecutive numbers) for each line.
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Creating a Number Line with an Interval of 7:
- The line starts at , and you should move by 7 in both directions.
- Moving right from : .
- Moving left from : .
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Key Concept (Describing a Number Line):
- A number line is a visual representation of numbers on a straight line. As you move from left to right, the numbers increase (become more positive). As you move from right to left, the numbers decrease (become more negative). The center of the line is typically , with positive numbers on the right and negative numbers on the left.
Would you like me to explain any of these concepts in more detail?
Here are 5 questions to explore further:
- What does an interval represent on a number line?
- How do you find the interval between consecutive numbers?
- Why are negative numbers placed to the left of on a number line?
- What happens if you continue moving left indefinitely on the number line?
- How do intervals change if the scale of the number line changes?
Tip: Always check the pattern between numbers on a line to identify the interval—it helps in understanding the scale!
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Math Problem Analysis
Mathematical Concepts
Number Line
Intervals
Positive and Negative Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 3-5