Answer:
To verify the commutative property of multiplication for rational numbers, we need to show that for any two rational numbers a and b, a * b = b * a.
i) Let's take a = 9/14 and b = (-5/7)
a * b = (9/14) * (-5/7) = -45/98
b * a = (-5/7) * (9/14) = -45/98
As we can see, a * b = b * a, which means the commutative property of multiplication holds true for these rational numbers.
ii) To verify the commutative property of addition, we need to show that for any two rational numbers a and b, a + b = b + a.
Let's take a = 7 and b = 8/21
a + b = 7 + 8/21 = 161/21
b + a = 8/21 + 7 = 161/21
As we can see, a + b = b + a, which means the commutative property of addition holds true for these rational numbers.
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Answers & Comments
Answer:
To verify the commutative property of multiplication for rational numbers, we need to show that for any two rational numbers a and b, a * b = b * a.
i) Let's take a = 9/14 and b = (-5/7)
a * b = (9/14) * (-5/7) = -45/98
b * a = (-5/7) * (9/14) = -45/98
As we can see, a * b = b * a, which means the commutative property of multiplication holds true for these rational numbers.
ii) To verify the commutative property of addition, we need to show that for any two rational numbers a and b, a + b = b + a.
Let's take a = 7 and b = 8/21
a + b = 7 + 8/21 = 161/21
b + a = 8/21 + 7 = 161/21
As we can see, a + b = b + a, which means the commutative property of addition holds true for these rational numbers.