NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.5 – Part 2

Q-4 Represent Equation on the number line.

Solution:

  • Step 1: Draw a line segment of unit 9.3. Extend it to C so that BC is of 1 unit.Step 2: Now, Equation units. Find the centre of AC and name it as O. Step 3: Draw a semi-circle with radius OC and centre O. Step 4: Draw a perpendicular line BD to AC at point B which intersects the semicircle at D. Also, Join OD.Step 5: Now, OBD is a right angled triangle.Here, Equation (radius of semi-circle Equation , Equation Equation Using Pythagoras theorem, Equation Equation Equation Equation Equation Equation Thus, the length of BD is Equation .Step 6: Taking BD as radius and B as centre draw an arc which touches the line segment.

The point where it touches the line segment is at a distance of Equation from O as shown in the figure.

Draw a line segment of units 9.3 on the number lines

Draw a Line Segment of Units 9.3

Draw a line segment of units 9.3 on the number lines

Q-5 Rationalise the denominators of the following

  1. Equation

  2. Equation

  3. Equation

  4. Equation

Solution:

  1. Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Equation

    Equation

    Equation

  3. Equation

    Equation

    Equation

    Equation

    Equation

  4. Equation

    Equation

    Equation

    Equation

    Equation

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