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Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures:(a) $7.310 \mathrm{km} \div 5.70 \mathrm{km}$(b) $\left(3.26 \times 10^{-3} \mathrm{mg}\right)-\left(7.88 \times 10^{-5} \mathrm{mg}\right)$(c) $\left(4.02 \times 10^{6} \mathrm{dm}\right)+\left(7.74 \times 10^{7} \mathrm{dm}\right)$(d) $(7.8 \mathrm{m}-0.34 \mathrm{m}) /(1.15 \mathrm{s}+0.82 \mathrm{s})$

a) $1.28 \mathrm{km}$b) $0.00318 \mathrm{mg}=3.18 \cdot 10^{-3} \mathrm{mg}$c) $8.142 \cdot 10^{7} \mathrm{dm}$d) $3.8 \mathrm{m} / \mathrm{s}$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

University of Central Florida

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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.

02:24

Carry out the following op…

04:06

Round the answer for each …

04:07

07:48

03:28

04:56

Write your answer to the f…

06:06

02:02

Carry out the following ca…

01:11

Convert the following meas…

04:03

Rank the results of the fo…

to carry out our calculations. The first thing that will do with part A is divide the two. They both have units of kilometers. So the kilometer units are gonna cancel in this 1st 1 will not have any units. We have four significant figures and three significant figures. So we rounded three significant figures. Then we were doing a subtraction. You want to look at the A significant figure and the smallest decimal place. So that's why I have written both of them with the same notation. I'm just case standard notation and we see the last significant figure is going to be here in the 123 4/5 decimal place and even more so here. So we're gonna have to round two the fifth decimal place 0.318 milligrams for the last significant figures in that fifth desperate place or in scientific notation 3.18 10 the negative three milligrams on this one. We'll get it into the same notation. They're both in scientific notation, but it helps stab them with the same X opponent. So when each of them have an exponent of six, this one has its last significant figure in the second personal place, this one in the first decimal place. So if we keep our sixth and we're gonna have to round two the first decimal place 81.4 10 to the sixth or make it 8.14 attended the Seven Desam Eaters. Next one includes addition, subtraction and division. So we'll do what's in parentheses. First, we've got first decimal place, second decimal place. When we subtract thes two numbers, we won't round yet. We round at the end but will identify. The last significant figure is the four and here, the last significant figures in the second decimal place. So it's seven. This has two significant figures. This has three. So now when we divide will around two significant figures 3.8 meters per second.

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