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  1. A point on the real number line that is associated with a coordinate is called its graph. To construct a number line, draw a horizontal line with arrows on both ends to indicate that it continues without bound. Next, choose any point to represent the number zero; this point is called the origin. Figure 1.1.2.

  2. Aug 3, 2023 · Let us divide 10 by 4, Step 1: First, a positive number line with numbers from 0 to at least 10 is drawn. Step 2: Since the divisor is 4, we start to move 4 steps each time to the right starting from 0 to reach to 10. Step 3: Only 2 jumps of size 4 each from 0 to 8 (one jump from 0 to 4, another from 4 to 8) are taken.

  3. Example: Divide 14 by 7 by representing the division on a number line. Let us follow the steps that we discussed above to perform the division 14 ÷ 7. To perform 14 ÷ 7, we will make a number line and plot the first few multiples of 7 starting from 0 which includes the dividend 14. Encircle the dividend 14.

  4. Origin. The origin is a point where something begins or emanates from. In mathematics, the origin usually refers to a point on a number line or in a coordinate system. Number lines. On a number line, the origin is at position zero, as shown below: Each point on a number line corresponds to a real number and their positions relative to the origin.

  5. Solution: In order to represent x < 5 on a number line, we will follow the steps given below. Step 1: Draw a number line, mark 0, and draw equal intervals to the right and left, as shown in the figure given above. Step 2: In the given inequality x < 5, the value of x is less than 5. So, we need to move to the left of 5.

  6. The importance of a number line is to give a graphical representation and visualization of numbers that help in various applications related to probability, stochastic systems, and other statistical systems. Components of Number line. We can divide the number line from Figure 1 into three parts: origin, negative area, and positive area. We will ...

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  8. It consists of a horizontal axis and a vertical axis, number lines that intersect at right angles. (They are perpendicular to each other.) The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and ...

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