Final answer:
To solve the division of 127 by 12, an alternative to standard division is to realize that 127 is close to a multiple of 12, which is 120. Therefore, 127 divided by 12 gives us 10 with a remainder of 7, or 10 and 7/12 as a fraction.
Step-by-step explanation:
The student's question refers to solving the cookie dough problem by dividing 12 and 127. One different method to solve the division problem without the standard division process is to use long division. The steps include dividing 127 by 12, which goes 10 times with a remainder of 7. Alternatively, knowing that the number 127 is close to the multiple of 12, which is 120 (12 x 10), we can start by recognizing that 127 is 7 more than 120. Therefore, 127 divided by 12 is 10 remainder 7, or 10 with a fraction of 7/12 if we wish to express the remainder as a fraction. This concept is similar to understanding that dealing with a dozen is more efficient than handling individual objects, as mentioned in the background information.