A 16 acre farm produces 36.3 tons of per year. Write an expression in scientific notation for the number of pounds of peaches produced in one year.

Question

If one ton = 2000lbs

Answer 1

first you want to convert the value over into pounds by multiplying by 2,000 pounds/ton

36.3 tons x 2000 pounds/ton = 72,600 pounds

then you want to express that value in scientific notation

72,600 pounds = 7.26 x 10^4 pounds

Answer 2

72,000.6 peaches is the answer. An expression to this would be if 36.3 tons are produced from 16 acre farms and a ton =2000 lbs. then using what is here 72,000.6 peaches is the answer. Hope this helps. :)

Answer 3

First, you need to convert your answer in tons to an answer in pounds. Then you need to take that number of pounds and write it in scientific notation.

1. 36.3 tons. You want to change units using the conversion factor of 2000 pounds/ton because every ton = 2000 pounds.

(36.3 tons)(2000 pounds/ton) = 72,600 tons*pounds/ton

ton / ton cancels, so you have 72,600 pounds.

2. Express 72,600 pounds in scientific notation.

In scientific notation we write a number greater than or equal to 1 and less than 10 multiplied by an exponent of 10.

Example: the number 450 = 450. Move the decimal until you have a number between 1 and 10. In th.is case if I move the decimal over twice, I have 4.50. 4.5 is smaller than the real value I want to write so I have to multiply it by a larger number. I moved the decimal 2 places, so 450 = 4.5 x 10^2.

Another example: the number 0.000057 requires me to move the decimal 5 places to get 5.7. 5.7 is larger than the real value I want, so I have to make it smaller by multiplying by a smaller number, which will be a negative exponent of 10. I moved the decimal 5 places, so 0.00005.7 = 5.7 x 10^-5

Do the same in your problem to rewrite 72,600.