Only three of these numbers can be graphed accurately.
Graph:
Least to greatest:
{sqrt(64), 8 27, 26/3, 8.8 }
All of the given numbers are rational numbers. They can be written in the form ab. We can look at each of these one at a time and add them to our number line.
First Value
Since 64 is a perfect square, we can rewrite this as its root.
sqrt(64)=8
This is a whole number, so we can graph it immediately.
Second Value
Because the decimal part of 8.8 is 810, to graph this number we should divide our number line into ten equal spaces.
Third Value
To graph 8 27, we instead divide the segment into seven equal spaces and then move two spaces to the right.
Fourth Value
The final number, 263, first needs to be written as a mixed number so that we can find where it falls between 8 and 9:
263=8 23
By dividing the segment into three equal spaces, we can accurately graph this number.
Least to Greatest
Now we have graphed each number on the number line, we can write them in order from least to greatest. Lesser numbers are found on the left, and greater numbers are on the right. This gives us the following order.
{sqrt(64), 8 27, 263, 8.8 }
