Represent the decimal number \(4.5\) on real line by the process of successive magnification up to \(5\) decimal places.
To locate the number \(4.5\) on the number line up to four decimal places.
That is, we have to represent \(4.56363..\) on the following number line.
But it is as asked to represent up to \(4\) decimal places. Thus, we need to locate until \(4.56363\).
Step 1:
Step 2:
Step 3:
Step 4:
n the same way, we have to magnify one more time between \(4.5636 -4.5637\). Now we can locate the required point in this magnification.
Step 5:
Answer variants:
Look for the range of the number on the number line and magnify that range (4 - 5)alone. That is, divide the portion into \(10\) parts.
Again magnify the range and divide the portion into 10 parts. Now look for the number with two decimal point on the number line. That is 4.56 -4.57.
The range of the number \(4.56363\) is \(4\) and \(5\).
Now let us look for the number with the first decimal point on the number line and find the range of that. That is 4.5- 4.6.
Again magnify the range and divide the portion into 10 parts. Now look for the number with three decimal point on the number line 4.563 -4.564.