NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.4

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

    Number line with space between 3 and 4 marked

  • 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

    Dividing space between 3 and 4 into 10 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.

    Dividing space between 3.7 and 3.8 into 10 parts.

    Dividing Space Between 3.7 and 3.8

    Dividing space between 3.7 and 3.8 into 10 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.

    Dividing space between 3.76 and 3.77 into 10 parts.

    Dividing Space Between 3.76 and 3.77

    Dividing space between 3.76 and 3.77 into 10 parts.

  • Step 6 – Visualize the number 3.765 using a magnifying glass.

Q.2 Visualize 4.26¯ 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

    Dividing space between 4 and 5 into 10 parts

  • 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

    Dividing space between 4 and 5 into 10 parts

  • 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

    Dividing space between 44.26 and 4.27 into 10 parts

  • 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

    Dividing space between 4.26 and 4.27 into 10 parts

  • 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

    Dividing space between 4.262 and 4.263 into 10 parts

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