Question

5. Visualize the following on the number line, using successive magnification i) 5.726 ii)3.7878…

Answer 1

Given:

i) 5.726 ii)3.7878…

To find:

Visualize the following on the number line, using successive magnification.

Solution:

From given, we have,

i) 5.726

Steps of successive magnification

Consider the number line numbered from -5 to 6.

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

Now, consider the number line numbered from 5 to 6.

5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6

Now, consider the number line numbered from 5.7 to 5.8.

5.7 5.71 5.72 5.73 5.74 5.75 5.76 5.77 5.78 5.79 5.8

Finally, consider the number line numbered from 5.72 to 5.73.

5.72 5.721 5.722 5.723 5.724 5.725 5.726 5.727 5.728 5.729 5.73

ii)3.7878…

Steps of successive magnification

Consider the number line numbered from -3 to 4.

-3 -2 -1 0 1 2 3 4

Now, consider the number line numbered from 3 to 4.

3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4

Now, consider the number line numbered from 3.7 to 3.8.

3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8

Now, consider the number line numbered from 3.78 to 3.79.

3.78 3.781 3.782 3.783 3.784 3.785 3.786 3.787 3.788 3.789 3.79

Finally, consider the number line numbered from 3.787 to 3.788.

3.787 3.7871 3.7872 3.7873 3.7874 3.7875 3.7876 3.7877 3.7878 3.7879 3.788