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.
    In a class test, the sum of Anamika's marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.


      • 2.
        In the given figure, PA and PB are tangents to a circle centred at O. If \( \angle AOB = 130^\circ \), then \( \angle APB \) is equal to :

          • \( 130^\circ \)
          • \( 50^\circ \)
          • \( 120^\circ \)
          • \( 90^\circ \)

        • 3.
          The natural number 1 is :

            • a prime number.
            • a composite number.
            • prime as well as composite.
            • neither prime nor composite.

          • 4.
            PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.


              • 5.
                In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


                  • 6.
                    The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

                      • 0
                      • 1
                      • 3
                      • 2

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