Wappingers Central School District / Overview
Scientific Notation Word ProblemsAccording to scientists, the Earth’s mass is 5.98 x 1024 kilograms. The mass of the Sun is 1.989 x 1030 kilograms. How much greater is the mass of the Sun than the mass of the Earth?Explanation:First we write the mass of the Sun as 1.989 x 1030 and the mass of Earth as 5.98 x 1024.We have to subtract 5.98 x 1024 from 1.989 x 10301.989 x 1030 – 5.98 x 1024(Remember what we do when we subtract in scientific notation) Choose the highest exponent. Take the difference. Convert the constant of the lower exponent.Move 5.98 to the LEFT 6 places. = 0.000005981.98 – 0.00000598= 1.98899402 x 1030So the answer is 1.98899402 x 1030.Last year, we noticed the population of Tamworth was 5.6 x 103. The population of Liverpool was 1.3 x 104. Which town had a larger population and by how much?Explanation: First we write the population of Liverpool, 1.3 x 104,and the population of Tamworth, 5.6 x 103.We can see the Liverpool is set to the higher power of ten and is, thus, the larger town.To find the increased population we have to subtract the population of Tamworth from Liverpool = 1.3 x 104 – 5.6 x 103Get them into the same power of ten to make it workable. = 5.6 becomes .56- Put the constants together. (1.3 - .56)= 0.74- Final Answer: 0.74 x 104In Russia, the population was 290.9 million people in 2002. The total health care costs for the country at that time were $1.7 trillion. Calculate the average amount spent per person on health care cost. ................
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