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Simplify. Your answer should be in proper scientific notation: Double 7×10^(5)

Simplify. Your answer should be in proper scientific notation:\newlineDouble 7×105 7 \times 10^{5}

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Full solution

Q. Simplify. Your answer should be in proper scientific notation:\newlineDouble 7×105 7 \times 10^{5}
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to double the value of 7×1057\times10^{5}. Doubling means multiplying the number by 22.
  2. Perform Doubling: Perform the doubling operation.\newlineDouble 7×1057\times10^{5} means 2×(7×105)2 \times (7\times10^{5}).\newline2×7=142 \times 7 = 14\newlineSo, we have 14×10514\times10^{5}.
  3. Check Result Format: Check if the result is in proper scientific notation.\newlineScientific notation requires the first number to be between 11 and 1010. Since 1414 is not between 11 and 1010, we need to adjust the expression.
  4. Convert to Scientific Notation: Convert the result into proper scientific notation.\newlineTo convert 1414 into a number between 11 and 1010, we can write it as 1.41.4 and increase the exponent by 11 to balance the expression.\newline1.4×1061.4\times10^{6} is the proper scientific notation for 14×10514\times10^{5}.

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