Final answer:
The missing value in the estimation 80 x ? to approximate 82 x 19 is 20, since 80 multiplied by 20 is 1600, which is close to the actual product of 82 x 19, which is 1558.
Step-by-step explanation:
To approximate the product of 82 x 19, we can round 82 to 80, which is a more manageable number for mental calculation. After rounding, we want to estimate the product using the number closest to 19 that will give us a similar estimate when multiplied by 80. The original expression rounds to 80 x ? and we're looking for the missing value that would approximate the result of 82 x 19.
Since the nearest multiple of 10 to 19 is 20, let's try multiplying 80 by 20:
80 x 20 = 1600.
This is a close estimation to 82 x 19 which is 1558, meaning that the missing value in the estimation 80 x ? is approximately 20.