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What is the number of significant figures in each of the following measurements?(a) $4867 \mathrm{mi}$(b) $56 \mathrm{mL}$(c) 60,104 tons(d) $2900 \mathrm{g}$(e) $40.2 \mathrm{g} / \mathrm{cm}^{3}$(f) $0.0000003 \mathrm{cm}$(g) $0.7 \mathrm{min}$(h) $4.6 \times 10^{19}$ atoms

a. 4 significant figuresb. 2 significant figuresc. 5 significant figuresd. 2 significant figurese. 3 significant figuresf. 1 significant figuresg. 1 significant figuresh. 2 significant figure

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

University of Central Florida

Rice University

University of Kentucky

University of Toronto

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

02:42

What is the number of sign…

03:05

Determine the number of si…

05:21

01:45

04:44

Give the number of signifi…

03:37

How many significant figur…

0:00

03:53

So this question is asking to do them to look at these measurements and just say how many certificates? Digits? There aren't each one of them. So let's just get started. This first party here, we have 4867 miles. So for Sig Figs, anything that isn't zero is definitely a significant digit. Um, zero is the only kind of tricky one. But everything else, like 123456789 10 or with reflects 29 are all definitely significant. So here we all have no zero. So we know that all four of these are indeed significant. So we have 466 here. I took the next 1 56 No leaders. Kind of the same thing. No zeros. So both of these are significant. So to say, fix now, this next one C 60,104 tons. Now, we have some zeros here, but zeros are counted significant. Only a couple scenarios. They're counted when they are sandwiched by, um, sandwich by significant digits. So, um yeah, there's significant digit on both sides of it, or several zeros that are encompassed by significant digits. Then they are significant. So as you can see here, both with the zeros are sandwiched by significant digits. We have the 1st 1 is sandwich by six and one and 2nd 1 sandwich by one and four. So all of those zeros and all the other digits are significant. Every single number in this number here is significant. So it's 56 figs. That's next one in 2900 grabs. Now, this is a scenario in which the zeros actually are not significant. Now, as you can see these the zeros, um, they are one side. They have a significant digit, right? They have a night on the left side, are on the right side. There are no significant digits here. So both of these heroes are insignificant. And to a nine are still significant, cause they're not zero. So we have to say, fix here now for E 40.2 grands for centimeter. Cute. Now it's kind of similar to see where we have a zero, that it's sandwiched by, um, significant figures four and two. So zero is significant and therefore we have 366 year 40 and to all of them, are signal. I was looking at 0.3 centimeters. Now, um, zeros. All the zeros that you can see here are not sandwiched by significant digits. There is no significant digit on the left side to sandwich it with a three on its right side. So, actually, all of these zeros here are insignificant. And the only significant digit is the three. So it's just one sick thick, and that's three. Next question, Fergie. 0.7 minutes. Now, this is actually very similar to the last question. Um, where there is nothing here to sandwich it. Right. So there's only one sigfig seven. Right, So 16 thick. So this next 14.6 times 10 to the 10 Adams. Now, um, if we were to just right this out as what it is, right, it would be 4.6 or 46 and then a bunch of zeros, right? Like 00000 all the way, like 10 zeros. Right now, this is kind of similar to D, where all of those zeros, there is nothing on the right side. There was no significant digit here that could um, make all those zeros significant. So all of those zeroes, there's 10 zeros that are accounted for by 10 to the 10 or actually, all insignificant. So the only two significant digits here and that is four and six. So we have to six things here. I hope this is helpful. And six eggs are very, very important. Part of, um, chemistry and math in general. So Yeah, I hope you learned a lot today. Thanks for listening.

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