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A*B=B*A is an example of the commutative property of multiplication.

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Q: What math property is ab equals ba?
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Is ab equals ba distributive property?

no; commutative


Is line segment AB equals BA?

According to the symmetric property (and common sense) line segmetn AB is congruet to line segment BA since they are the same segment, just with a different name


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the basic number properties in math are associative, commutative, and distributive associative: (for addition) a+(b+c)=(a+b)+c (for multiplication) a(bc)=(ab)c or a*(b*c)=(a*b)*c commutative: (for addition) a+b=b+a (for multiplication) a*b=b*a or ab=ba distributive: a(b+c)=ab+ac or a(b+c)=a*b + a*c


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If a and b are positive numbers such that ab equals ba and b equals 9a then find the value of a?

With the information given in the question, we can't find the value of either 'a' or 'b' yet, because there's really only one equation given so far. The statement "ab = ba" is an "identity", not an equation. It's simply a statement of the commutative property of multiplication, and it's true for all values of 'a' and/or 'b'. There's no information in it.