2. Answer True or False:
a) Subtraction is commutative for rational numbers
b) O is its own additive inverse.
C) The additive inverse of
is
d) While subtracting three or more rational numbers, they can be grouped in any order
e)-5/0
is a negative rational number.
Answers
True false with proper reasons given below:
a) Subtraction is commutative for rational numbers = False.
Reason: When we subtract two numbers if in first case we get +ve number then in second we get -ve number but the magnitude will remain same.
b) 0 is its own additive inverse. = True
Reason: because when we add or subtract 0 to 0 the result is 0.
c) The additive inverse of 2 is 31 = False
Reason: The additive inverse means both number should be sum up to 0, but in this case, 2+31 = 33 not equal to 0.
d) While subtracting three or more rational numbers, they can be grouped in any order = True
Reason : In group subtraction the operation become of addition so by commutative property we can but still we have to be careful and solve it by proper method.
e)-5/0 is a negative rational number = False
Reason : Because the denominator is zero, so it is not defined.
true
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