NUMBER SYSTEMS – Exercise 1.4 – (MATHEMATICS) – 9th Class

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Exercise 1.4

1. Visualise 3.765 on the number line, using successive magnification.

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Sol.
(i) We notice the number 3.7 lies between 3 and 4. So, first we locate numbers 3 and 4 on number line and divide the portion into ten equal parts and locate 3.7 and 3.8. [Refer step 2]
(ii) Further 3.76 lies between 3.7 and 3.8. So, we magnify 3.7 and 3.8 and divide the portion into ten equal parts and locate 3.76 and 3.77. [Refer step 3]
(iii) Further 3.765 lies between 3.76 and 3.77. So, we magnify 3.76 and 3.77 and divide the portion into ten equal parts and locate 3.765. [Refer step 4]


Point O in step 4 represents the number 3.765 on the number line.


2. Visualise 7.\overline {46}  on the number line, up to 4 decimal places.

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Sol. 4.\overline {26} = 4.2626262626………………….
(i) Visualise 4 and 5 as 4.26 lies between 4 and 5 and divide portion in ten equal parts and locate 4.2. [Refer step 2]
(ii) Visualise 4.2 and 4.3 as 4.26 lies between 4.2 and 4.3 and divide portion in ten equal parts and locate 4.26. [Refer step 3]
(iii) Visualise 4.26 and 4.27 as 4.262 lies between 4.26 and 4.27 and divide portion in ten equal parts and locate 4.262. [Refer step 4]
(iv) Visualise 4.262 and 4.263 as 4.2626 lies between 4.262 and 4.263 and divide portion in ten equal parts and locate 4.2626. [Refer step 5]


Point O in step 5 represents the number 4.\overline {26} on the number line.


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