A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
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