) 20110 ( any size. of t for numbers written in scientific notation is m x 10 wh
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) 20110 ( any size. of t for numbers written in scientific notation is m x 10 where m is a number between 1 and 10 and n is an integer (oither positive or negative). For the examples above, the mass of an electron can be written as 9.11 x 10-31 kg and the mass of the Sun can be writen as 1.989 × 1030 kg Converting decimals to scientific notation A day has 86, 400 second (s) Notice that the decimal point is to the far right of the number. The first part of sclenitilic notation is a number between 1 and 10. Move the decimal point to the left to obtain 8.64, which equals m in our traditional notation. The value for rn is given by the number of places the decimal point was moved from its location in 86 400 to 8 64 Thus, 86,400 s = 8.64 x 104 & Because the decimal was moved four places to the left (and the value is larger than 1), the exponent is a positive inteer. If you had a very precise clock, you could write this as 8.640 x10. s or 8.6400 × 104 s. The number of digits you kee in the first part of the notation describes the precision of your value and determines the number of significant digits. As another example, the fastest glacier in the world has an average speed of 0.0012 mile/hour The first part of scientific notation is a number Move the decimal point to the right to obtain 1.2, which equals m in our traditional notation The value for ra is gilven by the number of places the decimal point was moved from its location in 0.0012 to 12 Thus 0.0012 mile/hour 12x 10 3 mile/hour. Because the decimal was moved three places to the right, and the value is smaler than 1, the exponent is a negative integer. Part A . Write this large number in scientific notation. fic notation: 5,970,000,000,000,000.000,000,000 kg Determine the values of m and n when the following mass of the Earth is written in Enter m and n, separated by commas. View Available Hint(s)Explanation / Answer
Part A)
It can be written as 5.97 x 1024 kg
so comparing it with the general expression , m x 10n
m = 5.97
and
n = 24
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