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18. (II) Express the following sum with the correct number of significant figures: $1.80 \mathrm{m}+$$142.5 \mathrm{cm}+5.34 \times 10^{5} \mu \mathrm{m} .$

3.76 $\mathrm{m}$

Physics 101 Mechanics

Chapter 1

Introduction, Measurement, Estimating

Physics Basics

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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18. (II) Express the follo…

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Okay, So our question wants us to figure out the sum of these three numbers to the crew and then present the answer to that some in the correct number of significant digits. So the correct number of significant digits is going to be the number of significant digits that is the smallest in the three numbers were adding together because that's the most are the highest order of accuracy that we can be sure of. So the first number, 1.80 meters, has three significant digits. The second number, 142.5 centimeters, has four significant digits on the third number, 5.34 times 10 to the fifth Micro meters again has three significant digits, so our solution needs to be reported to three significant digits. Also in orderto add these numbers together, we need to put them in. The correct units are all in the same units, so we're going to use the units of meters, so we need to convert all these numbers into humans of meters. The first number's already in meters so we can go ahead and leave that one alone. It's 1.80 meters. The second number 100 42.5 centimeters. Khun Khun b converted two meters by realizing that there are 100 centimetres and everyone meter. So we need to move the decimal place over two and that's going to give us 100 42.5 2 100 2 1.4 to 5 meters. Okay, and then the third member is 500 or 5.34 times 10 to the fifth micro meters for everyone meter. There is 10 to the minus six micro meters. So we need to multiply 5.34 times 10 to the fifth times, 10 to the minus six in order to get that Munitz of meters and that's going to give us zero 0.534 Mears. Okay, so now that everything is in meters, we can go ahead and add those together and that is going to give us an answer of 3.759 meters. But we want to give our answer and three significant digits. And here there are four significant digits, so we can go ahead and round up the five to a six and rewrite this as 3.76 meters neck. Go ahead and box that in because that is our solution

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