The number 8.15·10-4{"version":"1.1","math":"8.15·10-4"} written in decimal notation, is

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The number 8.15·10-4{"version":"1.1","math":"8.15&#xB7;10-4"} written in decimal notation, is

BlackTom AI · Accepted Answer

The question asks us to convert the scientific notation 8.15 × 10^-4 into decimal notation and then evaluate the given options.
Option 1: 0.0000815. This value corresponds to 8.15 × 10^-5, not 8.15 × 10^-4. Since the exponent is -5 here, this is too small by a factor of 10. The decimal has been moved one place too few to the left (or one extra factor of 10 is missing).
Option 2: 0.000815. To convert 8.15 × 10^-4 to decimal form, you shift the decimal point 4 places to the left because of the -4 exponent. Starting from 8.15, moving the decimal four places yields 0.000815, so this matches the correct decimal representation.
Option 3: 0.00815. This value would come from shifting the decimal only 3 places to the left, which would correspond to an exponent of -3 (8.15 × 10^-3). Since the exponent is -4, this is too large by a factor of 10.
Option 4: 0.0815. This option results from moving the decimal two places to the left, equating to 8.15 × 10^-2. That exponent is -2, not -4, so this representation is incorrect for the given scientific notation.
In summary, options 1, 3, and 4 all misplace the decimal relative to the -4 exponent, while option 2 accurately reflects 8.15 × 10^-4 in decimal form. The key idea is adjusting the decimal point by the absolute value of the exponent: for -4, move four places to the left from 8.15.

The number 8.15·10-4{"version":"1.1","math":"8.15·10-4"} written in decimal notation, is

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The number 8.15·10-4{"version":"1.1","math":"8.15&#xB7;10-4"} written in decimal notation, is

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The number 8.15·10-4{"version":"1.1","math":"8.15·10-4"} written in decimal notation, is