6th Class Mathematics Integers

  • question_answer 1)
    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) TIPS Firstly, draw the number line and represent first number on it. Now, to add second number in first number, we move right to the first number, if second number is positive and move left to the first number, if second number is negative.

    Answer:

    (a) We have, 9 + (?6) Firstly, draw a number line, then, we move 9 steps to the right of 0 and reach at 9. Now, we move 6 steps to the left of 9 [\[\because -6\] is a negative integer] and reach at 3, as shown in the above figure. Hence, 9 + (?6) = 3 (b) We have, 5 + (?11) Firstly, draw the number line, then we move 5 steps to the right of 0 and reach at 5. Now, we move 11 steps to the left of 5 [\[\because -11\] is a negative integer] and reach at ?6, as shown in the above figure. Hence, 5 + (?11) = ?6 (c) We have, (?1) + (?7) Firstly, draw the number line, then we move one step to the left of 0 (zero) and reach at ?1. Now, we move 7 steps to the left of ?1 [\[\because -7\]is a negative integer] and reach ?8, as shown in the above figure. Hence, (?1) + (?7) = ?8 (d) We have, (?5) + 10 Firstly, draw the number line, then we move 5 steps to the left of 0 and reach at ?5. Then, we move 10 steps to the right of ?5 [\[\because 10\] is a positive integer] and reach at 5, as shown in the above figure. Hence, (?5) + (+10) = 5 (e) We have, (?1) + (?2) + (?3) Firstly, draw the number line, then we move one step to the left of 0 and reach at ?1. Now, we move 2 steps to the left of ?1 [\[\because -2\]is a negative integer] and reach at ?3. Then, we move 3 steps to the left of ?3 [\[\because -3\] is a negative integer] and reach at -6, as shown in the above figure. Hence, (?1) + (?2) + (?3) = (?6) (f) We have, (?2) + 8 + (?4) Firstly, draw the number line, then we move 2 steps to the left of 0 and reach at ?2. Now, we move 8 steps to the right of ?2 [\[\because 8\]is a positive integer] and reach at 6. Again, from 6, we move 4 steps to the left of 6 [\[\because -4\] is a negative integer] and reach at 2, as shown in the above figure. Hence, (?2) + (8) + (?4) = 2


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