Question

round 328 to two significant digits.
question 2
2 pts
round 71 to one significant digit.
question 3
2 pts
round 0.038 to one significant digit.

Explanation:

Question 1 (Round 328 to two significant digits)

Step1: Identify significant digits

The first two significant digits of 328 are 3 and 2. The next digit is 8, which is ≥5, so we round up the second digit.

Step2: Round the number

328 rounded to two significant digits: $3.3\times10^{2}$ (or 330, but in scientific notation for clarity, $3.3\times10^{2}$ shows two significant digits).

Step1: Identify significant digit

The first significant digit of 71 is 7. The next digit is 1, which is <5, but for one significant digit, we look at the first digit and the magnitude. 71 is closer to 70 (but for one significant digit, we represent it as $7\times10^{1}$).

Step2: Round the number

71 rounded to one significant digit: $7\times10^{1}$ (or 70, but $7\times10^{1}$ is more accurate for significant digits).

Step1: Identify significant digit

The first significant digit of 0.038 is 3 (the leading zeros are not significant). The next digit is 8, which is ≥5, so we round up the first significant digit.

Step2: Round the number

0.038 rounded to one significant digit: 0.04 (or $4\times10^{-2}$).

Answer:

$3.3\times10^{2}$ (or 330)

Question 2 (Round 71 to one significant digit)