# Exercise 1.4 Number Systems NCERT Solutions Class 9

## Question 1

Visualize \(\begin{align} 3.765\end{align}\) on the number line, using successive magnification.

### Solution

**Video Solution**

**Steps:**

(i) **\(3.7\)** lies between **\(3 \) **& \(4\). So we divide the portion between **\(3 \) **& \(4\). on the number line into **\(10\)** equal parts

**\(3.76\)** lies between **\(3.7\)** and **\(3.8\)**. So, we divide the portion between **\(3.7\)** and **\(3.8\)** on the number line into **\(10\)** equal parts.

**\(3.765\)** lies between **\(3.76\)** and **\(3.77\)** and **\(3.77\)** .Dividing the line before we got

## Question 2

Visualize \(\begin{align}4 . \overline{26}\end{align}\) on the number line, up to **\(4\)** decimal places.

### Solution

**Video Solution**

**Steps:**

\(\begin{align}4 . \overline{26}=4.2626\dots\end{align}\)

(i)** \(4.2\)** lies between \(4\) &\( 5\). Observe the number line given below

(ii) **\(4.26\)** lies between **\(4.2\) **&** \(4.3\)**, shown below on the number line.

(iii) **\(4.262\)** lies between **\(4.26\) **&** \(4.27\)** as shown below.

(iv) **\(4.2626\)** lies between **\(4.262\) **&** \(4.263\)** as shown below

Hence by the successive magnification method required number is obtained in the number line.

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