Question

Claudia’s family has a soybean farm. They plant 175,000 soybeans on each acre of the farm. Each soybean weighs about 0.0057 oz. Write an estimate for both the number of soybeans per acre and the weight of a soybean as a single digit times an integer power of 10.

A) Approximately 2 x 10^4 soybeans per acre, 0.0057 oz
B) Approximately 1.5 x 10^5 soybeans per acre, 0.005 oz
C) Approximately 2 x 10^5 soybeans per acre, 0.005 oz
D) Approximately 1.5 x 10^4 soybeans per acre, 0.0057 oz

Answer 1

The estimate for the number of soybeans per acre is approximately 2 x 10^5 and the weight of a soybean is 0.0057 oz.

Step-by-step explanation:

To estimate the number of soybeans per acre, we multiply the number of soybeans planted on each acre (175,000) by the weight of a single soybean (0.0057 oz). This gives us an estimate of 997,500 soybeans per acre.

Next, we need to write this estimate as a single digit times an integer power of 10. The closest estimate is option C: Approximately 2 x 10^5 soybeans per acre.

For the weight of a soybean, the closest estimate is option A: 0.0057 oz.