{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Scientific Notation

Scientific Notation - (1.21 0.05*10^2 =...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Sheet1 Page 1 NATS 102 Home <index.html> Scientific Notation Courtesy of C. Keeton Astronomy deals with everything from atoms (0.0000000001 m) to the universe (100,000,000,000,000,000,000,000,000 m). To make it easier to write such small and large numbers we use /scientific/ (or /power of ten/) notation. ** *Simple powers of ten:* Write 1.0, and then move the decimal the number of spaces given by the exponent. 10^-3 = 0.001 10^-2 = 0.01 10^-1 = 0.1 10^0 = 1. 10^1 = 10. 10^2 = 100. 10^3 = 1000. ** *More complicated numbers:* Pull out the largest power of ten you can. The number left out front is called the /mantissa/. 390,100,000 = 3.901*100,000,000 = 3.901*10^8 0.00000558 = 5.58*0.000001 = 5.58*10^-6 ** *Addition and subtraction:* Make sure the exponents are the same, then just add or subtract the mantissas. 121+5 = (1.21*10^2 ) + (5*10^0 ) = (1.21*10^2 ) + (0.05*10^2 ) =
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (1.21+0.05)*10^2 = 1.26*10^2 ** *Multiplication and division:* Simply multiply or divide the mantissas, and add or subtract the exponents. 121*50 = (1.21*10^2 ) * (5*10^1 ) = (1.21*5) * 10^2+1 = 6.05*10^3 250/50 = (2.5*10^2 ) / (5*10^1 ) = (2.5/5) * 10^2-1 = 0.5*10^1 = 5 300,000,000*31,000,000 = (3*10^8 ) * (3.1*10^7 ) = (3*3.1) * 10^8+7 = 9.3*10^15 Sheet1 Page 2 ** *Powers and square roots:* To raise a power of 10 to a power, multiply the two powers. (10^2 )^4 = 10^2*4 = 10^8 If you have a mantissa and a power of 10, raise both the mantissa and the power of 10. (2*10^2 )^4 = (2)^4 * (10^2 )^4 = 16 * 10^8 = 1.6 * 10^9 Taking the square root is equivalent to raising a number to the power 1/2. (900) = (9*10^2 ) ^1/2 = (9)^1/2 * (10^2 )^1/2 = 3 * 10 = 30...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern