Add the following integers using number line.
(i) 7+(-6)
(ii) (-8) + (-2)
(iii) (-6) + (-5) + (+2)
(iv) (-8) + (-9)+(+17)
(v) (-3) + (-8) + (-5) (vi) (-1) + 7 +(-3)
Add without using number line.
(i) 10+(-3)
(ii) -10 +(+16)
(iii) (-8)+(+8)
(0)-215+(+100) (v) (-110) + (-22) (vi) 17+(-11)
Find the sum of
(i) 120 and -274
(ii) -68 and 28
(iii) -29, 38 and 190
(iv)-60,-100 and 300.
Answers
To find:
The sum of the given numbers
Concept:
Before we solve this problem, we must remember
- (+) (+) = (+)
- (+) (-) = (-)
- (-) (+) = (-)
- (-) (-) = (+)
Step-by-step explanation:
Part 1
(Refer to the attached image for the sums with number line.)
Extra
(i) 7 + (- 6) = 7 - 6 = 1
(ii) (- 8) + (- 2) = - 8 - 2 = - 10
(iii) (- 6) + (- 5) + (+ 2) = - 6 - 5 + 2 = - 11 + 2 = - 9
(iv) (- 8) + (- 9) + (+ 17) = - 8 - 9 + 17 = - 17 + 17 = 0
(v) (- 3) + (- 8) + (- 5) = - 3 - 8 - 5 = - 16
(vi) (- 1) + 7 + (- 3) = - 1 + 7 - 3 = 7 - 4 = 3
Part 2
(i) 10 + (- 3) = 10 - 3 = 7
(ii) - 10 + (+ 16) = - 10 + 16 = 6
(iii) (- 8) + (+ 8) = - 8 + 8 = 0
(iv) - 215 + (+ 100) = - 215 + 100 = - 115
(v) (- 110) + (- 22) = - 110 - 22 = - 132
(vi) 17 + (- 11) = 17 - 11 = 6
Part 3
(i) 120 + (- 274) = 120 - 274 = - 154
(ii) (- 68) + 28 = - 68 + 28 = - 40
(iii) (- 29) + 38 + 190 = - 29 + 38 + 190 = - 29 + 228 = 199
(iv) (- 60) + (- 100) + 300 = - 60 - 100 + 300 = - 160 + 300 = 140
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Step-by-step explanation:
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