Convert the following to decimal notation.5.9×10−55.9×10−55.9 imes 10^{-5}

Question

Convert the following to decimal notation.5.9×10−55.9×10−55.9 	imes 10^{-5}

BlackTom AI · Accepted Answer

To convert 5.9 × 10^-5 into decimal notation, we need to move the decimal point 5 places to the left because the exponent is -5.

Option a. 0.000059: Moving the decimal five places left from 5.9 gives 0.000059. This matches the expected placement for a negative exponent of -5 and is therefore correct in decimal form.

Option b. 0.0059: This would correspond to 5.9 × 10^-3, since you only move the decimal three places to the left. The exponent here would be -3, not -5, so this is too large by two orders of magnitude.

Option c. 0.0000059: Moving the decimal five places to the left would produce 0.000059, not 0.0000059. This option corresponds to 5.9 × 10^-6, which is one order of magnitude smaller than the target value.

Option d. 0.00059: Moving the decimal four places to the left would yield 0.00059, which corresponds to 5.9 × 10^-4. This option is again mismatched with the given exponent of -5, making it too large by one power of ten.

In summary, only the decimal with the decimal point moved five places to the left, 0.000059, correctly represents 5.9 × 10^-5. The other options reflect incorrect exponent placements or incorrect scaling of the number.

My LMS Subjects Maths for Biomedicine DECIMALS QUIZ

Convert the following to decimal notation.5.9×10−55.9×10−55.9 \times 10^{-5}

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