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Simplify. Your answer should be in proper scientific notation: Triple 6.2 ×10^(3)

Simplify. Your answer should be in proper scientific notation:\newlineTriple 6.2×103 6.2 \times 10^{3}

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Full solution

Q. Simplify. Your answer should be in proper scientific notation:\newlineTriple 6.2×103 6.2 \times 10^{3}
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to triple the given number, which means we need to multiply it by 33.
  2. Multiply Coefficient: Multiply the coefficient (6.26.2) by 33. Perform the multiplication: 6.2×3=18.66.2 \times 3 = 18.6.
  3. Keep Exponent Same: Keep the exponent the same.\newlineThe exponent in the original number is 33, and since we are only tripling the coefficient, the exponent remains unchanged.
  4. Write in Scientific Notation: Write the result in proper scientific notation.\newlineThe result from Step 22 is 18.618.6, which is not in the range of 11 to 1010 required for proper scientific notation. Therefore, we need to adjust the coefficient and the exponent.
  5. Adjust Coefficient: Adjust the coefficient to be between 11 and 1010. To do this, we can rewrite 18.618.6 as 1.86×1011.86 \times 10^1.
  6. Combine Exponents: Combine the exponents.\newlineSince we have 1.86×1011.86 \times 10^1 from the coefficient adjustment and the original exponent was 33, we add the exponents: 1+3=41 + 3 = 4.
  7. Final Answer: Write the final answer in proper scientific notation.\newlineThe final answer is 1.86×1041.86 \times 10^4.

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