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Questions and Answers
What is the purpose of equidistant notches on a number line?
What is the purpose of equidistant notches on a number line?
- To visualize multiplication
- To represent intervals
- To show division operations
- To mark the positions of integers (correct)
How can numbers not explicitly shown on the number line be determined?
How can numbers not explicitly shown on the number line be determined?
- By mirroring existing coordinates
- By marking a coordinate in between two existing coordinates (correct)
- By using intervals to represent them
- By extending the number line infinitely
What is the visual representation of division on a number line?
What is the visual representation of division on a number line?
- Moving left or right based on positive or negative numbers
- Counting the number of times one number fits into another (correct)
- Drawing open and shaded circles
- Adding one factor to itself as many times as indicated by the second factor
What are the notches on a number line commonly called?
What are the notches on a number line commonly called?
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Where is the origin located on a number line?
Where is the origin located on a number line?
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What type of numbers cannot be placed on a number line?
What type of numbers cannot be placed on a number line?
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What does each coordinate on a number line indicate?
What does each coordinate on a number line indicate?
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How do the coordinates change when viewed from left to right on a number line?
How do the coordinates change when viewed from left to right on a number line?
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Study Notes
- To create a number line, draw a straight horizontal line with arrows on both ends, then add equidistant notches intersecting the line at a 90-degree angle.
- A standard number line usually has the origin in the middle, with positive integers to the right and negative integers to the left.
- Number lines can count by twos, fives, or any other constant.
- Find numbers not explicitly shown on the number line by marking a coordinate in between two existing coordinates.
- Number lines can be used to model addition and subtraction by counting to the left for subtraction or right for addition.
- The rules for adding and subtracting negative numbers on a number line are the opposite of those for positive numbers: when a negative number is added, move to the left; when a negative number is subtracted, move to the right.
- Multiplication on a number line can be visualized as adding one factor to itself as many times as indicated by the second factor.
- Division can be represented on a number line by counting the number of times one number fits into another.
- Intervals on a number line are sets of numbers expressed as inequalities. To represent intervals on a number line, draw an open circle for less than or greater than, and a shaded circle for less than or equal to or greater than or equal to. A bolded number line represents the range of the interval.
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