Questions: When 2.3390 × 10^8 is correctly rounded to three significant figures, the number becomes
2.34
2.34 × 10^8
234
2.339
2.339 × 10^8
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Midterm Exam
Question 5 of 41 (1 point) I Question Attempt 1 of 1
$=1$
$=2$
$=3$
$=4$
5
6
7
8
9
When $2.3390 \times 10^{8}$ is correctly rounded to three significant figures, the number becomes $\qquad$
2.34
$2.34 \times 10^{8}$
234
2.339
$2.339 \times 10^{8}$
Continue
$100 \%$
Mostly clear
Solution
Solution Steps
Step 1: Identify the Number to Round
The given number is \(2.3390 \times 10^{8}\).
Step 2: Determine the Number of Significant Figures
We need to round the number to three significant figures.
Step 3: Perform the Rounding
The number \(2.3390\) has five significant figures. To round it to three significant figures, we look at the fourth digit, which is 9. Since 9 is greater than 5, we round up the third digit (3) to 4.
Step 4: Write the Rounded Number in Scientific Notation
After rounding, the number becomes \(2.34\). Since the original number was in scientific notation, we maintain the same power of ten: \(2.34 \times 10^{8}\).