https://www.khanacademy.org/math/arithmetic-home/arith-review-decimals/arithmetic-significant-figures-tutorial/v/significant-figures 2021-02-01T11:35:40Z Intro to significant figures Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers. Sal Khan video https://cdn.kastatic.org/googleusercontent/tI--eaJIzZAjnoe9UhgJ9KJ34klz-ibjWka9vUDuyyq3vbDBBfYXQTzk2i2Iz2r-GOUQeVW29WQ3Y7lhtL_l-ag Intro to significant figures Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers. https://cdn.kastatic.org/ka-youtube-converted/eCJ76hz7jPM.mp4/eCJ76hz7jPM.mp4 303 Standard Form https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/v/scientific-notation-i 2021-06-21T15:29:05Z Scientific notation example: 0.0000000003457 Can you imagine if you had to do calculations with very, very small numbers? How would you handle all those zeros to the right of the decimal? Thank goodness for scientific notation! Sal Khan video https://cdn.kastatic.org/googleusercontent/jFNy2bjU_nzHncfxuSOfq0fYkZSqu0vK80qD9I-SM1qhDJZoi3olmo1qRDVAQgd1Zv4sH2QfBtIRytExKFVD_JXt Scientific notation example: 0.0000000003457 Can you imagine if you had to do calculations with very, very small numbers? How would you handle all those zeros to the right of the decimal? Thank goodness for scientific notation! https://cdn.kastatic.org/ka-youtube-converted/6phoVfGKKec.mp4/6phoVfGKKec.mp4 252 Standard Form https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/v/scientific-notation 2023-04-30T21:01:15.828786566Z Scientific notation examples Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Created by Sal Khan and CK-12 Foundation. Sal Khan video https://cdn.kastatic.org/googleusercontent/oeA68O_Z8QW3ferd7a1lIjGLASQFOrElSOrLQTq2FkX1IwU3XqIN3rrU883ncM_qidLPCVW4L1IoWVi7OT2vzgZa Scientific notation examples Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Created by Sal Khan and CK-12 Foundation. https://cdn.kastatic.org/ka-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.mp4 686 Standard Form https://www.khanacademy.org/science/hs-chemistry/x2613d8165d88df5e:stoichiometry-and-the-mole/x2613d8165d88df5e:moles-and-molar-mass/a/scientific-notation-review 2023-12-18T19:15:22.874322042Z Scientific notation review Review the basics of scientific notation and try some practice problems. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/e/scientific_notation 2026-03-31T21:47:15.031073863Z Scientific notation Practice expressing numbers in scientific notation. Omar Rizwan exercise https://www.khanacademy.org/math/algebra-basics/alg-basics-expressions-with-exponents/alg-basics-scientific-notation/v/scientific-notation-example-2 2023-07-06T20:14:29.733919258Z Multiplying in scientific notation example Scientific notation shows a number (greater than or equal to 1 and less than 10) times a power of 10. To multiply two numbers in scientific notation, we can rearrange the equation with the associative and commutative properties. If the final product is not in scientific notation, we can regroup a factor of 10. Sal Khan video https://cdn.kastatic.org/googleusercontent/IeQaT0zxw5vBmSUOSKqCNFEjbxWYNx1KDby2ob8S7EXEBbLzppyIcRm8_z3-v4uu4VcZsyvy0a9W7pFDNaYRlMErGA Multiplying in scientific notation example Scientific notation shows a number (greater than or equal to 1 and less than 10) times a power of 10. To multiply two numbers in scientific notation, we can rearrange the equation with the associative and commutative properties. If the final product is not in scientific notation, we can regroup a factor of 10. https://cdn.kastatic.org/ka-youtube-converted/xxAFh-qHPPA.mp4/xxAFh-qHPPA.mp4 323 Standard Form 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 Standard Form 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/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 Standard Form 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 Standard Form 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-word-problems/v/calculating-red-blood-cells-in-the-body-using-scientific-notation 2021-06-21T15:29:06Z Scientific notation word problem: red blood cells Vampires and math students want to know: How many red blood cells are in the a human body? We can find the answer using scientific notation. Sal Khan video https://cdn.kastatic.org/googleusercontent/RbIJu56G5lyqWMvpvYev_X7KbU04PF-XS0iqSh6jMj3tzg29VEK4mWmIfwB4zCCOAYu4qOc5YzcD3H7P3dpUE5Q Scientific notation word problem: red blood cells Vampires and math students want to know: How many red blood cells are in the a human body? We can find the answer using scientific notation. https://cdn.kastatic.org/ka-youtube-converted/0lOpqmTdtzk.mp4/0lOpqmTdtzk.mp4 286 Standard Form https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-word-problems/v/scientific-notation-3-new 2023-05-12T21:01:01.897246564Z Scientific notation word problem: speed of light It is possible to simplify multiplication and division using scientific notation. This can be used to calculate the distance between the sun and the earth, which is 1.5 times 10 to the 11th power meters. This is an incredibly large distance and difficult to visualize. Scientific notation can be used to simplify calculations and understand large numbers. This involves using the commutative property to rearrange the numbers and multiplying the units, and then adding the exponents to simplify the equation. Sal Khan video https://cdn.kastatic.org/googleusercontent/w1NV9RU-_1-1dso1DzDYF7WpaRe2ITj67j3aoOM9R43FPnXlI63z5LCy7dQ7IQXudeHc6rdsIgL-RDKnutfTQH-y Scientific notation word problem: speed of light It is possible to simplify multiplication and division using scientific notation. This can be used to calculate the distance between the sun and the earth, which is 1.5 times 10 to the 11th power meters. This is an incredibly large distance and difficult to visualize. Scientific notation can be used to simplify calculations and understand large numbers. This involves using the commutative property to rearrange the numbers and multiplying the units, and then adding the exponents to simplify the equation. https://cdn.kastatic.org/ka-youtube-converted/dD71fFNwVJw.mp4/dD71fFNwVJw.mp4 267 Standard Form https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-word-problems/e/computing-in-scientific-notation 2026-03-25T23:00:55.33300009Z Scientific notation word problems Practice solving addition, subtraction, multiplication, and division problems involving scientific notation. shriram.joshi exercise