Round the following number to four significant figures and express the result in standard exponential notation: 229.613 A)0.2296 × 10³ B)229.6 C)2.296 × 10^-2 D)2.296 × 10² E)22.96 × 10^-1

Question

Quizplus · Accepted Answer

To round to four significant figures, we start counting from the leftmost non-zero digit, which is the first "2". We then count three more digits, which are "2", "9", and "6". The fourth significant figure is "6". Since the next digit, "1", is less than 5, we leave the 6 unchanged. Therefore, the rounded number is 2.296. To express it in standard exponential notation, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, and count the number of places we moved the decimal point. In this case, we move the decimal point one place to the right, and get 2.296 × 10^2, which is equivalent to 229.6. However, since the question asks us to express the result in standard exponential notation, the correct answer is D.

Round the Following Number to Four Significant Figures and Express