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QuestionMathematics

What is 673.5 in scientific notation?
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Answer

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Step 1:
I'll solve this step-by-step using the guidelines you specified:

Step 2:
: Identify the process for converting to scientific notation

Scientific notation requires expressing a number as a coefficient between 1 and 10 multiplied by a power of 10.

Step 3:
: Determine the number of decimal places to move

To convert 673.5 to scientific notation, we need to move the decimal point until we have a number between 1 and 10.

Step 4:
: Move the decimal point

673.5 = 6.735 \times 10^{2}
- We moved the decimal point 2 places to the left - The coefficient is 6.735 - The exponent is 2 because we moved 2 places left

Step 5:
: Verify the result

- Multiplying $$6.735 \times 10^{2}$$ gives back the original number ✓
- The coefficient (6.735) is between 1 and 10 ✓

Final Answer

673.5 = 6.735 \times 10^{2}