Final answer:
Estimating the product of 48 times 366 involves rounding to 50 times 370 to mentally calculate the approximate answer, which is 18,500.
Step-by-step explanation:
To estimate the product of 48 times 366, you can round each number to a number that is easier to multiply, preferably a number that you can handle mentally. In this case, 48 is close to 50 and 366 is close to 370. When you use these numbers, the estimate becomes 50 times 370.
Now, multiplying 5 by 37 gets you 185. Since we multiplied 50 by 370 (rather than 5 by 37), we need to put the two zeros back into the product, which gives us 18,500 as our estimated product.
It's important to note that while this method gives a rough estimate, it is not the exact product. The exact product would require the use of a calculator or multiplying the original numbers without rounding.