Final answer:
To write 7.4 * 10^-2 in standard notation with two significant figures, we move the decimal point two places to the left resulting in 0.074 as the final answer.
Step-by-step explanation:
To write 7.4 * 10^-2 in standard notation with two significant figures, we need to shift the decimal point two places to the left because of the exponent -2, which indicates that the number is a hundredth of its original value.Here's the step-by-step explanation:Start with the original number: 7.4 * 10^-2Move the decimal point two places to the left to account for the power of -2: 0.074Since we need two significant figures and there is only one non-zero digit (7) before the necessary second figure,
we'll round the second digit (4) and keep it as it is, resulting in 0.074 as our final answer.This is how you write 7.4 * 10^-2 in standard notation with two significant figures.Final answer in standard notation: 0.074The number 7.4 * 10^-2 in standard notation with 2 significant figures is 0.074. To convert from scientific notation to standard notation, you need to move the decimal point to the left or right depending on the exponent. In this case, since the exponent is negative, you move the decimal point to the left. The number 7.4 has 2 significant figures, so the final answer should also have 2 significant figures.