For January through April 2020, at the height of the global coronavirus pandemic, it is estimated that global emissions of carbon dioxide (CO 2 ) decreased by 940 million metric tons (1 metric ) compared to the same period in 2019. a. Express this mass of CO 2 in grams without exponential notation, using an appropriate metric prefix.

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.

Ch.1 - Introduction: Matter, Energy, and Measurement

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Brown 15th Edition

Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 41a

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Chapter 1, Problem 41a

For January through April 2020, at the height of the global coronavirus pandemic, it is estimated that global emissions of carbon dioxide (CO₂) decreased by 940 million metric tons (1 metric ) compared to the same period in 2019. a. Express this mass of CO₂in grams without exponential notation, using an appropriate metric prefix.

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Start by understanding the problem: We need to convert 940 million metric tons of CO_2 into grams using an appropriate metric prefix.

Recall that 1 metric ton is equivalent to 1,000 kilograms, and 1 kilogram is equivalent to 1,000 grams.

Calculate the total mass in grams by multiplying 940 million metric tons by the conversion factors: 940 million metric tons * 1,000 kg/metric ton * 1,000 g/kg.

Perform the multiplication to find the total mass in grams.

Finally, express the result using an appropriate metric prefix, such as giga (G), which represents 10^9, to simplify the expression.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Metric Conversions

Understanding metric conversions is essential for converting between different units of measurement. In this case, converting metric tons to grams requires knowledge of the metric system, where 1 metric ton equals 1,000 kilograms, and 1 kilogram equals 1,000 grams. Therefore, to convert metric tons to grams, one must multiply the number of metric tons by 1,000,000 grams.

Significant Figures

Significant figures are important in scientific measurements as they convey the precision of a value. When performing calculations, the result should reflect the appropriate number of significant figures based on the least precise measurement. This concept ensures that the final answer is not misleading and accurately represents the precision of the data used in the calculation.

Metric Prefixes

Metric prefixes are used to denote multiples or fractions of a unit in the metric system. Common prefixes include 'kilo-' for thousands (10^3) and 'mega-' for millions (10^6). When expressing large quantities, using an appropriate metric prefix can simplify the representation of numbers, making them easier to read and understand, such as expressing 940 million grams as 940 megagrams.

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Metric Prefixes Usage

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