If on a certain year, an estimated amount of 4 million metric tons (1 metric ton = 1000 kg) of nitrous oxide 1N2O2 was emitted worldwide due to agricultural activities, express this mass of N2O in grams without exponential notation, using an appropriate metric prefix.

Video transcript

Hi everyone today. We have a question telling us that in the years 2018/2019. The United States produced 51.29 million metric tons. One metric ton equals 1000 kg of week. The United States was ranked as the fifth largest wheat producer in the world. What is the mass of the wheat produced ingram's expressed without using exponents and use the correct metric prefix. So we know that one metric ton Equals 1000 kg And we know that one kg Equals 10 to the 3rd g and 51 .29 million equals 51. Times 10 to the 6th. So we're going to start out here with our 51 0. Times 10 to the six metric tons. And we're going to multiply By 1000 kg over one metric ton. And we're going to multiply that By 10 to the 3rd g over one kg. So our metric tons are canceling out and our kilograms are canceling out leaving us with grams And that equals 5. Times 10 to the 13th g. Now we have to figure out what metric peer fix would be best for that. And what would be best would be one Terror Which equals 10 to the 12th g. So now we can put that into an equation. So we're going to have 5.12, 9 Times 10 to the 13th g. And we're going to multiply that by our one tera gram Over 10 to the 12 g. And our grams are canceling out leaving us with tera grams. And that equals 51 0.29 tera grams. And that is our final answer. Thank you for watching. Bye.