Final answer:
To express each operation in scientific notation, the result of the operation is rounded according to the number of significant figures from the operands, and then, is expressed in the form of a coefficient times a power of ten.
Step-by-step explanation:
Solve Each Expression Using Scientific Notation
For each of the following expressions, we will calculate the result and then express the answer using scientific notation with the appropriate number of significant figures:
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- 217 ÷ 903: Calculating this division gives us a result of approximately 0.2403. However, to express this in scientific notation with the correct number of significant figures, we need to round to the hundredth place (because 217 has three significant figures and 903 also has three), yielding 2.40 × 10-1.
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- 13.77 + 908.226 + 515: Adding these numbers together gives us a sum of 1437.996. We then need to express it with significant figures corresponding to the least precise number, which is 13.77 with four significant figures. The final result is 1.438 × 103.
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- 255.0 - 99: The subtraction results in 156.0. Since the number 255.0 has four significant figures and the number 99 has two, our result should have two significant figures, giving us 1.6 × 102.
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- 0.00666 × 321: This multiplication yields approximately 2.13786. Accordingly, we express this with three significant figures (since 0.00666 has three significant figures), resulting in 2.14 × 100.