Exercise 2.4 - Chapter 2 - Real Numbers - 9th Maths Guide Samacheer Kalvi Solutions - Tamil Medium

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Ex 2.4
Question 1.
Represent the following numbers on the number line.
(i) $5.348$
(ii) $6.4$ upto 3 decimal places.
(iii) $4 . \overline{73}$ upto 4 decimal places.
Solution:

Step 1 : First we note that $5.348$ lies between 5 and 6 .
Step 2 : Divide the portion between 5 and 6 into 10 equal parts and use a magnifying glass to visualise that $5.348$ lies between $5.3$ and $5.4$.
Step 3 : Divide the portion between $5.3$ and $5.4$ into 10 equal parts and use a magnifying glass to visualise that $5.348$ lies between $5.34$ and $5.35$.
Step 4 : Divide the portion between $5.34$ and $5.35$ into 10 equal parts and use a magnifying glass to visualise that $5.348$ lies between $5.348$ and $5.349 .$
Step 5 : Divide the portion between $5.348$ and $5.349$ into 10 equal parts and use a magnifying glass to visualise that $5.348$ lies between $5.349$ and $5.348$.
We note that 5,349 is visualised closed to $5.349$ than to $5.348$.
(ii) $6 . \overline{4}$ upto 3 decimal places.
$6 . \overline{4}=6.444$
$=6.444$ (upto 3 decimal places).
The number lies between 6 and 7 .

Step 1: First we note that $6.444$ lies between 6 and 7 .
Step 2 : Divide the portion between 6 and 7 into 10 equal parts and use a magnifying glass to visualise that $6.4$ lies between $6.4$ and $6.5$.
Step 3 : Divide the portion between $6.4$ and $6.5$ into 10 equal parts and use a magnifying glass to visualise that $6.4$ lies between $6.44$ and $6.45$.
Step 4 : Divide the portion between $6.44$ and $6.45$ into 10 equal parts and use a magnifying glass to visualise that $6.444$ lies between $6.445$ and $6.444$. We note that $6 . \overline{4}$ is visualised closed to $6.444$ than to $6.445$.
(iii) $4 . \overline{73}$ upto 4 decimal places
$4 . \overline{73}=4.73737373$
$=4.7373$ (correct 4 decimal places).
The number lies between 4 and 5

Step 1 : First we note that $4.73$ lies between 4 and 5 .
Step 2 : Divide the portion between 4 and 5 into 10 equal parts and use a magnifying glass to visualise that $4.7 \overline{3}$ lies between $4.7$ and $4.8$.
Step 3 : Divide the portion between $4.7$ and $4.8$ into 10 equal parts and use a magnifying glass to visualise that $4.7 \overline{3}$ lies between $4.73$ and $4.74$.
Step 4 : Divide the portion between $4.73$ and $4.74$ into 10 equal parts and use a magnifying glass to visualise that $4.7 \overline{3}$ lies between $4.733$ and $4.734$.
Step 5 : Divide the portion between $4.733$ and $4.734$ into 10 equal parts and use a magnifying glass to visualise that $4.7 \overline{3}$ lies between $4.7332$ and $4.7334$.
We note that $4.7 \overline{3}$ is visualised closed to $4.7332$ than to $4.7334$