Final answer:
The commutative property of multiplication allows us to rewrite the expression 35 · y as y · 35, which corresponds to option b. This property states that changing the order of the factors does not alter the product. The correct answer is option a. y · 53
Step-by-step explanation:
To rewrite the expression 35 · y using the commutative property of multiplication, we can simply switch the order of the numbers and variables being multiplied. The commutative property of multiplication states that the order in which two numbers are multiplied does not change the product. So, using this property on the given expression, 35 · y can be rewritten as y · 35. This aligns with option b which is the correct answer. Option a, with 53, seems to be a typo, while options c and d introduce additional multiplication that was not in the original expression.
The commutative property is fundamental in easing calculations and can be used with other mathematical principles to simplify more complex equations. For example, with exponentiation involving bases and exponents, the property helps when multiplying numbers with powers. In all these cases, maintaining the integrity of numbers while changing the order in which they appear in operations is essential and does not affect the final outcome.