In which of the following pairs do both numbers contain the same ...

Question

In which of the following pairs do both numbers contain the same number of significant figures?a. 11.0 m and 11.00 mb. 0.0250 m and 0.205 mc. 0.000 12 s and 12 000 sd. 250.0 L and 2.5 x 10⁻² L

Accepted Answer

Hello. In this problem, we're asked to identify the pairs of measurements that have different numbers of significant figures. Number one, the pair of measurements is 8.6 times 10 minus three m and 30.8600 m. Number two, the pair of measurements is 0.45 millis and 4500 millis. Number three, our two measurements are 0.104 g and 0. g. And in number four, the two measurements are 0.0657 L and 60.57 l beginning with number one and assigning significant figures. The first value is given in scientific notation. So in terms of determining the numbers and figures, we're only interested in the coefficient in the coefficient, we have 8.6. So both of those are significant. So that's two. The next number we have 0.8600, we find the first nonzero value which is the eight that value and everything to the right. So 8600. So we have four significant figures. And number two, then the first value 0.45 mL, you find the first nonzero value that value and everything to the right. So that's the four and the five. So that's two significant figures. The next value 4500, it does not have a decimal shown behind the last zero. So those two zeros that proceed where the decimal would be are just placeholders. They're not significant. So the only significant figures are the four and the five. So that's two. Number three, the first value is 0.104 g. The first nonzero value is the one and then everything to the right is zero and four. So that has three and the next number is 0. g. We have the first nonzero value is the one and then the four and zero. So it has three significant figures and the last one, the first value is 0.657 liters. The first nonzero value is the six and then the five and the seven. So that's three and 60.57 liters. The first non zero value is the six that value and everything to the right. So the six, the zero, the five and the seven are all significant. So looking for those pairs that have different numbers of significant figures, we see then that number one has two and four. So those are different. Number two, they're both two, number three, they're both three and number four, they are three and four. So those are different looking at the answers we've been provided. The one that provides us with number one and number four is answer D so D is the correct answer. Thanks for watching. Hope this helped.

In which of the following pairs do both numbers contain the same number of significant figures?a. 11.0 m and 11.00 mb. 0.0250 m and 0.205 mc. 0.000 12 s and 12 000 sd. 250.0 L and 2.5 x 10⁻² L

Key Concepts

Significant Figures

Rules for Counting Significant Figures

Comparing Significant Figures

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