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

Number line with space between 3 and 4 marked

A Number Line with 3 and 4

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

Dividing space between 3 and 4 into 10 parts.

Dividing Space between 3 and 4

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  • 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.

Dividing space between 3.7 and 3.8 into 10 parts.

Dividing Space between 3.7 and 3.8

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  • 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.

Dividing space between 3.76 and 3.77 into 10 parts.

Dividing Space between 3.76 and 3.77

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  • 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.

Dividing space between 4 and 5 into 10 parts

Space between 4 and 5

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  • 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.

Dividing space between 4 and 5 into 10 parts

Space between 4.2 and 4.3

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  • 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.

Dividing space between 44.26 and 4.27 into 10 parts

Space between 44.26 and 4.27

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  • 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.

Dividing space between 4.26 and 4.27 into 10 parts

Space between 4.26 and 4.27

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  • 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.

Dividing space between 4.262 and 4.263 into 10 parts

Space between 4.262 and 4.263

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