https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/multiplying-and-dividing-in-scientific-notation 2023-06-26T02:49:59.957106116Z Multiplying & dividing in scientific notation In order to simplify multiplication and division using scientific notation, you should multiply and divide numbers with the same base, and add or subtract the exponents. Through this process, complex expressions can be simplified into a single value multiplied with 10 to a certain power. As an example, 7 times 10 to the fifth over 2 times 10 to the negative 2 times 2.5 times 10 to the ninth can be simplified to 1.4 times 10 to the negative 2. Scientific notation helps to simplify complex equations that involve multiplying and dividing numbers with the same base. Sal Khan video https://cdn.kastatic.org/googleusercontent/9RtrsL-6AY0gcqwCC_MhmsRh9ahESUh3mSue7secJKbKJ36aoU_Dr0Xzq5Tj5uluhlPb55uLmhouOTjlKKxbJNA Multiplying & dividing in scientific notation In order to simplify multiplication and division using scientific notation, you should multiply and divide numbers with the same base, and add or subtract the exponents. Through this process, complex expressions can be simplified into a single value multiplied with 10 to a certain power. As an example, 7 times 10 to the fifth over 2 times 10 to the negative 2 times 2.5 times 10 to the ninth can be simplified to 1.4 times 10 to the negative 2. Scientific notation helps to simplify complex equations that involve multiplying and dividing numbers with the same base. https://cdn.kastatic.org/ka-youtube-converted/497oIjqRPco.mp4/497oIjqRPco.mp4 173 Arithmetic with numbers in scientific notation https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/multiplying-in-scientific-notation 2023-09-05T20:00:13.447284688Z Multiplying three numbers in scientific notation Multiplying really big or really small numbers is much easier when using scientific notation. When we multiply numbers in scientific notation, we can commute and associate the factors. That lets us multiply the decimal factors first. Then we can use exponent properties to multiply the powers of 10. Sal Khan video https://cdn.kastatic.org/googleusercontent/UU4jrrT-VQKyjhsp2dqEULQG0Zti2ImWpD_7rW1lW1Zz2tLqlugpcwgUPsJIgs6BxXP9Xl309rBgXbZ_A7YUqn1B Multiplying three numbers in scientific notation Multiplying really big or really small numbers is much easier when using scientific notation. When we multiply numbers in scientific notation, we can commute and associate the factors. That lets us multiply the decimal factors first. Then we can use exponent properties to multiply the powers of 10. https://cdn.kastatic.org/ka-youtube-converted/67jn5Zv-myg.mp4/67jn5Zv-myg.mp4 455 Arithmetic with numbers in scientific notation https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/e/multiplying_and_dividing_scientific_notation 2022-06-13T22:23:00.945663613Z Multiplying & dividing in scientific notation Practice expressing products and quotients in scientific notation. Ben Eater exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/subtracting-in-scientific-notation 2021-06-21T15:29:04Z Subtracting in scientific notation Learn how to subtract numbers written in scientific notation. The problem solved in this video is (4.1 * 10^-2) - (2.6 * 10^-3). video https://cdn.kastatic.org/googleusercontent/OPmTF0de6IDU5phKwn3Vz3hejflzjH7wXGX21ZQdeFKaEgjOeKFCS25Pk9OeZlhyl7y6cHi3dNZShPRxx6OtueCOng Subtracting in scientific notation Learn how to subtract numbers written in scientific notation. The problem solved in this video is (4.1 * 10^-2) - (2.6 * 10^-3). https://cdn.kastatic.org/ka-youtube-converted/ios3QL9t9LQ.mp4/ios3QL9t9LQ.mp4 253 Arithmetic with numbers in scientific notation https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/e/adding-and-subtracting-in-scientific-notation 2021-06-21T15:29:09Z Adding & subtracting in scientific notation Given two numbers in scientific notation, practice adding and subtracting them. Ben exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/simplifying-a-complicated-expression-into-scientific-notation 2023-09-29T20:10:37.268517027Z Simplifying in scientific notation challenge Let's explore how to simplify expressions with numbers in scientific notation. We'll transform numbers into scientific notation, multiply and divide them, and then reassemble them. It's a cool and useful method for handling large or small numbers! Sal Khan video https://cdn.kastatic.org/googleusercontent/iFglz2WpCasCyOKrUqa5Jz25L337zWNeRjOP3Tc61Y_U27vOGAm_P39hVPFrQ5CwWAtYTAzT31zdMb7l9BUor7U Simplifying in scientific notation challenge Let's explore how to simplify expressions with numbers in scientific notation. We'll transform numbers into scientific notation, multiply and divide them, and then reassemble them. It's a cool and useful method for handling large or small numbers! https://cdn.kastatic.org/ka-youtube-converted/EbmgLiSVACU.mp4/EbmgLiSVACU.mp4 352 Arithmetic with numbers in scientific notation