Question

what are significant digits? how can you tell whether zeros are significant?
what are significant digits?
a. significant digits are the digits that describe how closely the measurement approximates the true value.
b. significant digits are the digits that occur in a result because of random and inherently unpredictable events in the measurement process.
c. significant digits are the digits in a number that represent actual measurements and therefore have meaning.
how can you tell whether zeros are significant?
a. the position of zeros in a number with respect to the position of the nonzero numbers in a number is what determines the significance of zeros.
b. trailing and leading zeros are never significant, where as zeros contained between nonzero digits are always significant.
c. zeros are never significant.
d. zeros are always significant.

Explanation:

Significant digits are digits representing actual measurements. The significance of zeros is determined by their position relative to non - zero digits. Trailing zeros may or may not be significant depending on the presence of a decimal point, leading zeros are not significant, and zeros between non - zero digits are significant.

Answer:

For "What are significant digits?": C. Significant digits are the digits in a number that represent actual measurements and therefore have meaning.
For "How can you tell whether zeros are significant?": A. The position of zeros in a number with respect to the position of the nonzero numbers in a number is what determines the significance of zeros.