NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.4
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Q.1 Visualize 3.765 on the number line, using successive magnification
Solution:

Step 1 – Consider a number line.

Step 2 – Visualize line between number 3 and 4

Step 3 – Magnify space between numbers 3 and 4 into 10 equal parts.

Step 4 – Visualize 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 between number 3.76 and 3.77 minutely using a magnifying glass.

Step 7 – Magnify and divide space between numbers 3.76 and 3.77 into 10 equal parts.

Step 6 – Visualize the number 3.765 using a magnifying glass.
Q.2 Visualize on the number line, up to 4 decimal places
Solution:
Since we have to go up to 4 decimal places we will consider the number 4.2626 and visualize it on number line

Step 1 – Consider a number line.

Step 2 – Take space between number 4 and 5.

Step 3 – Divide the space between numbers 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 – Visualize 4.2626 between the numbers 4.262 and 4.263.