Question

Visualize $4.\overline{26}$ on the number line, up to 4 decimal places.

Answer 1

$4.\overline{26}$= 4.2626 can be visualized as in the following steps.

Solution:

Step – 1- Consider a number line.

Step – 2 – Take space between numbers 4 and 5.

Step – 3 – Divide the space between 4 and 5 into 10 equal parts.

Step – 4 – Consider the space between numbers 4.2 and 4.3 using a magnifying glass.

Step – 5 – Divide space between numbers 4.2 and 4.3 into 10 equal parts.

Step – 6 – Consider space between numbers 4.26 and 4.27.

Step – 7 – Divide space between numbers 4.26 and 4.27 into 10 equal parts.

Step – 8 – Consider space between numbers 4.262 and 4.263

Step – 9 – Divide space between numbers 4.262 and 4.263 into 10 equal parts.

Step – 10 – Visualise 4.2626 between the numbers 4.262 and 4.263.