Pregunta
Which of the following would correctly fill in the blank on the following statement? \( 1.7 \times 10-=0.00017 \) -4 -5
Ask by Barnett Horton. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
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The correct exponent is –4.
Solución
To determine the correct exponent, compare the multiplication result to the scientific notation:
1.7 × 10^(-4) = 1.7/10,000 = 0.00017
Since this is equal to the given number (0.00017), the correct exponent is –4.
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Simplifique esta solución Beyond the Answer
The correct answer is -4. When you express 0.00017 in scientific notation, it can be rewritten as \( 1.7 \times 10^{-4} \). This is because moving the decimal point four places to the right gives you the original number, hence the exponent -4 indicates the small size of the number. If you were to use -5, it would give you \( 0.000017 \), which is not the same as 0.00017. Remember, each time you move the decimal to the right, you decrease the exponent by one!
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