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More Examples – Plotting Points on a Number Line (\(1D\))

Explanation

In this page, we practice plotting different types of points on a number line.

Remember:

A number line is \(1D\).

This means each point needs only one value.

The value tells us where the point is located on the line.

Formula / Rule

In \(1D\), a point is written as:

\(P = x\)

where:

\(x\) is the location of the point on the number line.

Use these rules:

Positive numbers go to the right of \(0\).

Negative numbers go to the left of \(0\).

\(0\) is the origin.

Fractions and decimals are placed between whole numbers.

Example 1

Plot:

\(P = 3\)

Since \(3\) is positive, move \(3\) units to the right of \(0\).

So, the point is plotted at:

\(3\)

Example 2

Plot:

\(P = −4\)

Since \(−4\) is negative, move \(4\) units to the left of \(0\).

So, the point is plotted at:

\(−4\)

Example 3

Plot:

\(P = 0\)

The number \(0\) is the origin.

So, the point is plotted at:

\(0\)

Example 4

Plot:

\(P = \frac{1}{2}\)

The point \(\frac{1}{2}\) is between \(0 and \(1.

It is exactly halfway between \(0 and \(1.

So, the point is plotted at:

\(\frac{1}{2}\)

Example 5

Plot:

\(P = −\frac{1}{2}\)

The point \(−\frac{1}{2}\) is between \(0\) and \(−1\).

It is exactly halfway between \(0\) and \(−1\).

So, the point is plotted at:

\(−\frac{1}{2}\)

Example 6

Plot:

\(P = 1.5\)

The point \(1.5\) is between \(1\) and \(2\).

It is halfway between \(1\) and \(2\).

So, the point is plotted at:

\(1.5\)

Example 7

Plot:

\(P = −2.25\)

The point \(−2.25\) is between \(−2\) and \(−3\).

It is a little to the left of \(−2\).

So, the point is plotted at:

\(−2.25\)

Practice

  • More Examples (Current page)
  • Take the Quiz

Continue Learning

  1. Plotting Points on a Number Line (\(1D\))
  2. Distance Formula in \(1D\)

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