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Answers:In scientific notation you write a number with a long string of zeros in a shorthand fashion. 56000 Look at the first non-zero part and rewrite as a number between 1 and 10 56 -> 5.6 Compare where the decimal is now (after the 5) and where it was originally (4 places to the right or positive 4). This tells you the power of 10 to use. 56000 = 5.6x10^4 or 5.6E4 in calculator speak. The others work the same 70000 = 7.0x10^4 = 7.0E4 20000 = 2.0x10^4 = 2.0E4 What happens if you double a number in scientific notation? 2x(5.6x10^4) = 11.2x10^4, but this breaks the rule about the significant part being between 1 and 10. 11.2 = 1.12x10 11.2x10^4 = 1.12x10x10^4 = 1.12x10^5 or 1.12E5 Or 2x56000 = 112000 = 1.12x10^5 (because the decimal should be 5 to the right from its new location) 2x70000 = 140000 = 1.4x10^5 2x20000 = 40000 = 4.0x10^4 (Notice the power of ten doesn't change here.) Just in passing... .00000645 = 6.45x10^-6 = 6.45E-6 because the decimal belongs 6 steps to the left of its new location.
Answers:1. 2.3 x 10^7 2. 7.4 x 10^6 3. 2.1 x 10^-7 4. 3.165 x 10-5 5. 727 x 100 6. True 7. 4,250,000 8. 38,900 ____________ When changing to scientific notation, count the number of places the decimal point moves. When changing to scientific notation - Left is positive - Right is negative When changing from scientific notation - Left is negative - Right is positive
Answers:how do you add and subtract in scientific notation ? adjudst the to have the same exponent , then subtract: example: 6.23 x 10 to the 5th power + 1.23 x 10 to the 6th power becomes 6.23 x 10 to the 5th power + 12.3 x 10 to the 5th power = 18.53 X 10 to the 5th ================================= &how do you multiply multiply the numbers, add exponents: example: (4.8x10 to the 5th power)x(2.0x10 to the 3rd power) = 9.6 e8 ====================================== and divide in scientific notation? divide the numbers , subtract exponents: example: (4.8x10 to the 5th power)x(2.0x10 to the 3rd power) = 2.4 e 2 example: (8.4x10 to the 6th)divided by(2.4x10 to the -3) = 3.5 e9 (exp of 6) - (exp of -3) = 6 + 3 = exp of 9
Answers:When multiplying exponents, you add them. Example: 10^5 x 10^3 = 10^8