8 Questions
What is the purpose of equidistant notches on a number line?
To mark the positions of integers
How can numbers not explicitly shown on the number line be determined?
By marking a coordinate in between two existing coordinates
What is the visual representation of division on a number line?
Counting the number of times one number fits into another
What are the notches on a number line commonly called?
Coordinates
Where is the origin located on a number line?
Zero
What type of numbers cannot be placed on a number line?
Imaginary numbers
What does each coordinate on a number line indicate?
A consistent increase or decrease in value
How do the coordinates change when viewed from left to right on a number line?
They increase by a consistent amount
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.
Learn about number lines and how they are used to solve basic arithmetic problems like addition, subtraction, multiplication, and division. Understand how numbers are placed on notches that are equally distant from each other on the number line.
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