3)state true of false
a) integers are closed under addition_______
b) subtraction of integers is commutative.________
c) addition inverse of 7 is -7________
d)addition is associative for integers ________
e) 0 is the additive identity for integers. _______
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a) Explanation: The integers are "closed" under addition, multiplication and subtraction, but NOT under division ( 9 ÷ 2 = 4½). ... Integers are rational numbers since 5 can be written as the fraction 5/1.
b) Subtraction is not commutative for integers, this means that when we change the order of integers in subtraction expression, the result also changes.
c) For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0 .
b) True,addition is associative for integers.
e) – Zero (0) is an additive identity for integers, i.e., a + 0 = 0 + a = a for any integer a.
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