Verify the property: (a + b)=(b+a) for the following integers:
(i) -10,6
(ii) 15,18
(iii) -16,-5
(iv) 20, -12
Answers
solution.
first look at these rules:
if we add -2 and 1 we would subtract, as the signs are different. then we put the sign of the larger number, in this case (-)2.
-2 + 1
= 2-1
= -1.
if we add -4 and -6, i.e. two negatives, we will add 4 and 6 as usual, then put the negative sign.
-4 + -6
= -10.
use this to help you out.
"same signs, add and keep
different signs subtract,
take the sign of the larger number
then you'll be exact."
now lets see the answers.
property given༄ (a+b)=(b+a)
so proving them,
(i) -10, 6
༄ (-10 + 6) = (6 + (-10))
༄(-4) = (-4)
༄LHS =RHS
hence verified.
(ii) 15, 18
༄ (15+18) = (15+18)
༄ 33 =33
༄LHS = RHS
hence verified.
(iii) -16, -5
༄ (-16 + (-5)) = (-5 + (-16))
༄ (-21) = (-21)
༄ LHS = RHS
hence verified.
(iv)20, -12
༄ (20 + (-12)) = (-12 + 20)
༄ 8 = 8
༄ LHS = RHS
hence verified.
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Answer:
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