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(Adding and Subtracting with Scientific Notation LC)\newlineFind the difference of 5.482×10125.482 \times 10^{12} and 3.2×10123.2 \times 10^{12}.\newlineA. 5.162×10125.162 \times 10^{12}\newlineB. 2.282×10122.282 \times 10^{12}\newlineC. 5.162×1005.162 \times 10^{0}\newlineD. 2.282×1002.282 \times 10^{0}

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Q. (Adding and Subtracting with Scientific Notation LC)\newlineFind the difference of 5.482×10125.482 \times 10^{12} and 3.2×10123.2 \times 10^{12}.\newlineA. 5.162×10125.162 \times 10^{12}\newlineB. 2.282×10122.282 \times 10^{12}\newlineC. 5.162×1005.162 \times 10^{0}\newlineD. 2.282×1002.282 \times 10^{0}
  1. Ensure Same Exponents: To find the difference between two numbers in scientific notation, we first ensure that the exponents of 1010 are the same, which they are in this case (both are 101210^{12}). Then we subtract the coefficients.\newlineCalculation: 5.4823.2=2.2825.482 - 3.2 = 2.282
  2. Subtract Coefficients: Now we write the result in scientific notation, keeping the exponent the same since we only subtracted the coefficients.\newlineCalculation: 2.282×10122.282 \times 10^{12}

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