# Number System

## Exercise 1.4

Question 1: Visuallise 3.765 on the number line, using successive magnification.

Answer: Step 1: Consider a number line.
Step – 2 – Visualise line between numbers 3 and 4.
Step – 3 – Magnify space between numbers 3 and 4 into 10 equal parts.
Step – 4 – Visualise between number 3.7 and 3.8 minutely using a magnifying glass.
Step – 5 – Magnify and divide space between numbers 3.7 and 3.8 into 10 equal parts.
Step – 6 – Visualize the number 3.765 using a magnifying glass.

#### First Magnification: Second Successive magnification: Third Successive magnification: Fourth Successive magnification: Question 2: Visualise 4.¯26 on the number line, up to 4 decimal places.

Answer: 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.

#### First magnification: Second Successive magnification: Third Successive magnification: Fourth Successive magnification: Fifth Successive magnification to visualize 4.2626: 