use properties of real numbers to rewrite the expression (3/5)(5/3)..
dont understand.
1. 3*5/5*3=15/15=1
To rewrite the expression (3/5)(5/3), we can use the commutative property of multiplication, which states that the order of factors in a multiplication does not affect the result. Additionally, we can use the associative property of multiplication which states that the grouping of factors in a multiplication does not affect the result.
(3/5)(5/3) can be rewritten by rearranging the factors using the commutative property:
= (5/3)(3/5)
Now, using the associative property, we can group the factors differently:
= [(5/3) * 3] / 5
Since multiplying a number by its reciprocal results in 1, we have:
= (1) / 5
Finally, any number divided by 1 is equal to the original number, so the expression simplifies to:
= 1/5 or simply 0.2 in decimal form.