Use number line and add the following integers :
(a) 9 + (– 6)
(b) 5 + (– 11)
(c) (– 1) + (– 7)
(d) (– 5) + 10
(e) (– 1) + (– 2) + (– 3)
(f) (– 2) + 8 + (– 4)
Solution:
We use the concepts of positive and negative integers on a number line to add the given integers.
(a) 9 + (-6) means we have to move 6 steps to the left of 9, which gives us 3 as the answer.
(b) 5 + (-11) means we have to move 11 steps to the left of 5, which gives us -6 as the answer.
(c) (-1) + (-7) means we have to move 7 steps to the left of -1, which gives us -8 as the answer.
(d) (- 5) + 10 means we have to move 10 steps to the right of -5, which gives us 5 as the answer.
(e) (-1) + (-2) + (-3) means we have to move 2 steps to the left of -1, and then we again have to move 3 steps to the left, which gives us -6 as the answer.
(f) (– 2) + 8 + (– 4) means we have to move 8 steps to the right of -2, and then we again have to move 4 steps to the left, which gives us 2 as the answer.
NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 Question 2
Use number line and add the following integers : (a) 9 + (– 6) (b) 5 + (– 11) (c) (– 1) + (– 7) (d) (– 5) + 10 (e) (– 1) + (– 2) + (– 3) (f) (– 2) + 8 + (– 4)
Summary:
(a) 9 + (-6) means moving 6 steps to the left of 9, which gives 3 as the answer. (b) 5 + (-11) means moving 11 steps to the left of 5, which gives -6 as the answer. (c) (-1) + (-7) means we moving 7 steps to the left of -1, which gives -8 as the answer. (d) (- 5) + 10 means moving 10 steps to the right of -5, which gives 5 as the answer. (e) (-1) + (-2) + (-3) means we have to move 2 steps to the left of -1, and then move 3 more steps to the left again, which gives -6 as the answer. (f) (– 2) + 8 + (– 4) means moving 8 steps to the right of -2, and then again moving 4 steps to the left, which gives us 2 as the answer.
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