1. the diameter of a carbon atom is 0.000 000 000 000 154 m. what is the number expressed in the scientific notation?

a) 1.54x10^12m
b) 1.54x10^-12m
c) 1.54x10^10
d) 1.54x10^-10

2. what is the result of multiplying 2.5x10^10 by 3.5x10^-7
a) 8.75x10^-3
b) 8.75x10^17
c) 8.75x10^3
d) 8.75x10^-17

3. the closeness of a measurement to its true value is a measure of its __?
a) precision
b) accuracy
c) reproducibility
d) usefulness

4. which of the following measurements contains two significant figures?
a) 0.0004 00 L
b) 0.0004 04 L
c) 0.0000 44 L
d) 0.0004 40 L

5. in the measurement 0.503 L, which digit is the estimated digit?
a) 5
b) the 0 immediately to the left of the 3
c) 3
d) the 0 to the left of the decimal point

6. when multiplying and dividing measured quantities, the number of significant figures in the result should be equal to the number of significant figures in __.
a) all of the measurements
b) the least and most precise measurements
c) the most precise measurement
d) the least precise measurement

You have simply reposted your original post from below. Yes, 5 is correct but that doesn't mean the others are wrong necessarily. You need to check your post for accuracy. For example, the correct answer for 1 is not there. The correct answer for 2 is not there.

1. To express the diameter of a carbon atom in scientific notation, we need to move the decimal point 12 places to the right. Since the original diameter is 0.000 000 000 000 154 m, it can be written as 1.54 x 10^-13 m. Therefore, the correct answer is d) 1.54 x 10^-13 m.

2. To multiply two numbers in scientific notation, we multiply the coefficients (2.5 x 3.5) and add the exponents (10^-7 + 10^10). The result is 8.75 x 10^(10-7) = 8.75 x 10^(3). Therefore, the correct answer is c) 8.75 x 10^3.

3. The closeness of a measurement to its true value is a measure of its accuracy. Therefore, the correct answer is b) accuracy.

4. To determine the number of significant figures, we count all the digits from the first non-zero digit from the left to the right. In option d) 0.0004 40 L, there are two non-zero digits, 4 and 4. Therefore, the correct answer is d) 0.0004 40 L.

5. The estimated digit is the first digit that is uncertain or estimated. In the measurement 0.503 L, the digit 3 is the estimated digit because it is the last digit with certainty. Therefore, the correct answer is c) 3.

6. When multiplying and dividing measured quantities, the number of significant figures in the result should be equal to the number of significant figures in the least precise measurement. Therefore, the correct answer is d) the least precise measurement.