NCERT Solutions for Class 6 Maths Chapter 6: Integers

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Jasmine Grover

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NCERT Solutions for Class 6 Maths Chapter 6 Integers deals with Integers which are a special type of number that includes all short of numbers starting from \([- \infty< 0< + \infty]\). All types of numbers fall under integers. Numbers are formed using the ten symbols 0, 1, 2, 3, 4,  5, 6, 7, 8, 9. These symbols are called digits or figures. The chapter deals with the properties of the multiplication of integers. 

Download PDF: NCERT Solutions for Class 6 Mathematics Chapter 6


NCERT Solutions for Class 6 Maths Chapter 6


Important Topics in Class 6 Maths Chapter 6 

Class 6 Maths Chapter 6 Integers has a number of important concepts which are as given below – 

  • The absolute value of an integer refers to a numerical value of an integer without considering its sign.

For Example: The absolute value of -7 and +7 is 7 itself.
  •  On a number line, the number increases as one moves toward the right and decreases as we move toward the left.

Hence, the order of integers can be written as: –5, –4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5.

Example: 5 + 3 = 3 + 5 

  • The product of a negative and a positive integer is always a negative integer.

Example: 10 × −2 = −20

  • Distributive Property of Integers: Under multiplication and addition, the integers show the distributive property.

For any integers a, b and c, a × (b + c) = a × b + a × c.

NCERT Solutions For Class 6 Maths Chapter 6 Exercises

The detailed solutions for all the NCERT Solutions for Class 6 Maths Chapter 6 under different exercises are as follows:


Integers – Related Topics:

CBSE Class 6 Mathematics Study Guides:

CBSE X Related Questions

  • 1.
    There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

      • 144
      • 2
      • 420
      • 272

    • 2.
      The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

        • 2
        • \(-6\)
        • \(-2\)
        • 6

      • 3.
        The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

          • \((x + 2), (x - 5)\)
          • \((x + 5), (x - 2)\)
          • \((x + 1), (x - 5)\)
          • \((x - 1), (x + 2)\)

        • 4.
          If PQ and PR are tangents to the circle with centre O and radius 4 cm such that \(\angle QPR = 90^\circ\), then the length OP is

            • 4 cm
            • \(4\sqrt{2}\) cm
            • 8 cm
            • \(2\sqrt{2}\) cm

          • 5.
            Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

              • \(10^{\circ}\)
              • \(60^{\circ}\)
              • \(45^{\circ}\)
              • \(100^{\circ}\)

            • 6.
              It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

                • \(\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}\)
                • \(\frac{AB}{ED} = \frac{AC}{EF}\)
                • \(\angle A = \angle D, \angle C = \angle F\)
                • \(\frac{AB + BC}{AC} = \frac{ED + DF}{EF}\)

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