We can plot decimals on number lines, just as we do with fractions and mixed numbers.
To demonstrate how this works, let's plot the following decimal on a number line:
First, since lies between the whole numbers and we start by creating a number line between these two whole numbers.
Now, notice that has one decimal place. In other words, the decimal part goes up to tenths. So, we split the line segment between and into equal parts. Each part gives (one-tenth) of a whole.
The decimal has ones and tenths. So, we start at the point and move steps to the right:
Therefore, we conclude that the decimal plotted on a number line looks as follows:
Let's now look at an example of a decimal containing a whole number part and a decimal part.
What decimal is shown as the plotted point on the number line below?
Each line segment between two whole numbers is split into equal parts. So, each part gives (one-tenth) of a whole.
Now, notice that our point is steps to the right of
The decimal has ones and tenths. Therefore, the point represents the decimal
The decimal shown as the plotted point on the number line above is
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The decimal shown as the plotted point on the number line above is
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$0.3$ |
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$1.6$ |
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$1.7$ |
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$1.3$ |
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$-1.3$ |
Plot the number on the number line below.
Each of the line segments between the whole numbers and is split into equal parts. So, each part gives (one-tenth) of a whole.
The decimal has ones and tenths. So, we start at the point and move steps to the right:
On which of the following number lines is the point $2.6$ plotted?
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On which of the following number lines is the point $0.6$ plotted?
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We can plot decimals up to hundredths on a number line in a similar way.
For example, let's plot the following decimal on a number line:
First, notice that lies between two tenths, namely and So, we start by creating a number line between these tenths.
Now, notice that has two decimal places. In other words, the decimal part goes up to hundredths. So, we split the line segment between and into equal parts. Each part gives (one-hundredth) of a whole.
The decimal has one, tenths, and hundredths. So, we start at the point and move steps to the right:
Therefore, we conclude that the decimal plotted on a number line looks as follows:
What decimal is shown as the plotted point on the number line below?
The line segment between each tenth is split into equal parts. So, each part gives (one-hundredth) of a whole.
Notice that our point is steps to the right of
Hence, the decimal has ones, tenths, and hundredths. Therefore, the point represents the decimal
The decimal shown as the plotted point on the number line above is
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Which decimal is shown as the plotted point on the number line above?
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$6.01$ |
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$6.09$ |
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$5.09$ |
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$5.01$ |
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$6.11$ |
The decimal shown as the plotted point on the number line above is
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Plot the number on the number line below.
Each of the line segments between the tenths and is split into equal parts. So, each part gives (one-hundredth) of a whole.
The decimal has ones, tenths, and hundredths. So, we start at the point and move steps to the right:
On which of the following number lines is the point $1.15$ plotted?
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On which of the following number lines is the point $0.72$ plotted?
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