If 45 multiplied by 𝑥 multiplied by 50 is equal to 45 multiplied by 35 multiplied by 50, what is the value of 𝑥?
In order to answer this question, we need to recall the associative property of multiplication. This states that when three or more numbers are multiplied, the product is the same regardless of the grouping. This means that we can multiply the numbers in any order.
45 multiplied by 𝑥 all multiplied by 50 is the same as 45 multiplied by 𝑥 multiplied by 50. We are told in the question that when written this way, the first number inside the parentheses is 35. As the other two numbers are the same, 𝑥 must be equal to 35.
Using the associative property of multiplication, the value of 𝑥 is 35.