Final answer:
Nora's method of dividing 96 by 12 by first dividing 48 by 12 and then doubling the quotient does work as it gives the same result as direct division.
Step-by-step explanation:
Nora has a unique method for dividing 96 by 12. Instead of dividing directly, she divides 48 by 12 first, and then doubles the result. To ascertain if Nora's strategy works, we can perform the calculations ourselves.
Firstly, we find the quotient of 48 divided by 12, which is 4. This is because 48 is equal to 12 times 4. Now, Nora doubles this result, so we multiply 4 by 2, resulting in 8.
To compare, we also perform the direct division of 96 by 12, which results in 8, because 96 is equal to 12 times 8. Therefore, Nora's method does indeed work and yields the correct result.
It's important to note that this method works specifically because Nora is effectively using the associative property of multiplication to facilitate the division.