To estimate the value of \( \frac{4.32 \times 10^{-4}}{8.71 \times 10^{-9}} \), let's examine each statement:
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4.32 divided by 8.71 is approximately 2.
- This is incorrect. \( \frac{4.32}{8.71} \) is not approximately 2; it is closer to 0.5.
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4.32 divided by 8.71 is approximately 0.5.
- This is true. \( \frac{4.32}{8.71} \) is indeed approximately 0.5.
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The answer will be very small because Negative 4 minus 9 = negative 13.
- This is true. When you subtract, \( -4 - 9 = -13 \), and a negative exponent indicates a very small number.
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The number will be large because Negative 4 minus (negative 9) = 5.
- This is false. The correct calculation shows it results in a negative exponent (as stated above).
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He will need to rewrite the preliminary result in scientific notation.
- This is true. Since the result of the division will be small (due to the negative exponent being very large), it is common to express it in scientific notation.
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The number will be small because the exponent will be a fraction.
- This is false. The exponent in this case is not fractional; it results from the subtraction of two integers. The reason for the small number is due to the negative exponent.
In summary, the statements Jed should consider are:
- 4.32 divided by 8.71 is approximately 0.5.
- The answer will be very small because Negative 4 minus 9 = negative 13.
- He will need to rewrite the preliminary result in scientific notation.