which of the following statements are true? check all that apply
A. for all real numbers a and b, a+b=b+a
B. for all real numbers a and b, ab = ba
C. for all real numbers a and b, a-b=b-a
d. for all real numbers a and b, a/b=b/a
e. for all the real numbers a, b and c, (a+b)+c=a+(b+c)
f. for all real numbers a, b and c,(a-b)-c=a-(b-c)
G. for all real numbers a, b and c a(b+c) =ab+ac
A. True
B. True
E. True
G. True
why
A. This statement represents the commutative property of addition in real numbers. The order in which we add two real numbers does not change the result.
B. This statement represents the commutative property of multiplication in real numbers. The order in which we multiply two real numbers does not change the result.
E. This statement represents the associative property of addition in real numbers. When we have three real numbers to be added, the way in which we group them does not change the result.
G. This statement represents the distributive property in real numbers. The product of a real number with the sum of two other real numbers is equal to the sum of the products of the real number with each of those two numbers individually.