Final answer:
7.61 x 10^-2 and 5.9 x 10^-3 written in standard notation are 0.0761 and 0.0059, respectively, both maintaining the same number of significant figures as presented in the scientific notation.
Step-by-step explanation:
To write the given numbers in standard notation while maintaining the same number of significant figures, you move the decimal point to the right or left depending on the power of 10 being positive or negative, respectively.
- For 7.61 x 10-2, we move the decimal two places to the left, which gives us 0.0761.
- Similarly, for 5.9 x 10-3, we move the decimal three places to the left to get 0.0059.
It's important to make sure that the number of significant figures in the original scientific notation is matched in the converted standard notation.