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# DA Reflections

Article 1:

Lots of people that are on the internet may believe everything that they see that is on the internet. When someone spreads rumors about other people, a lot will believe them, just because they read it. Social media can be very powerful and dangerous toward youth. Some fake accounts target people, and make them look like bad people. If you leak personal information, your Identity may be stolen, and bad things can come from it.

Article 2:

People should be aware of what they read of what they see on the internet. Fake post came up of missing children, who aren’t actually missing draw attention to the person who posted this knowledge. Doing this is disrespectful to the families who have gone through something terrible. Pictures are stolen from other people and used for their benefit. We should all be carful of what we see on the internet.

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# 2017 Data analysis thoughts

1.What role do statistics play in our society?

Statistics play a very important role in our society today. We use statistics for a lot of the things that we do in the modern world. We use them to find out everyone’s thoughts and common ideas through statistics. Statistics are used to let everyone have a say, and their voices to be heard. Common people contribute to the data being put forward, for a trustworthy step in broadcasting the data. Using Statistics, you can calculate data, that helps the common goal, benefiting the majority. Statistics show the majority of peoples opinions, while using them, and ways to improve our environment.

2. Explain anything new that you learnt from the article

When we see the Statistics on the news, they broadcast the most interesting, and that might get viewed more, opposed to Statistics have a wide variety of uses and the common ones. They use these to try to get the most views on the stories. You could also use statistics for personal causes and even ways to decide how you can live your life. Using statistics, you can Decide the general Idea’s, and what have happened in the past, and ways to prevent it happening in the future. Statistics can be very misleading and have a bias towards one side.

3. Problems with statistics.

When you read statistics you should never assume that all the info is true. When people gather statistics being use, the data that they collect may not always be correct. When you use incorrect data, you use the wrong statistics, and you may not get the results that you wish for. Sometimes, the people that produce the data may be recording on a certain side of the information, trying to get their side to win, so they may use incorrect numbers so they could prove themselves right. They may have a bias towards one side. Statistic that you use, may not be the correct statistics you use, or may not have the correct set of circumstances. Some wording of questions may also result in a certain direction of the statistics being recorded. The location where they record the data may also have a bias when using the statistics. On statistics, the percentage being used could also result with misleading information. Using different percentages, it could be recorded either a lot more, or a lot less. People may ask only 10 people and 20% say yes, while other may ask a lot more but only get 10% saying yes. The language that they use in the question may also be inaccurate. There may be wording in the question that could persuade you to choose a certain side. When looking for statistics, gather information from as many data bases as possible.

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# Everything I know about Exponents

1)Represent repeated multiplication with exponents:

$3\cdot3\cdot3\cdot3\cdot3$ = $3^5$

You can count how many times the base is being multiplied by itself, and re-wright it as an exponent for how many times the base is being repeated

2)Describe how Powers represent repeated multiplication

$4^4 = 4\cdot4\cdot4\cdot4$

You multiply the base by itself however many times the exponent represents.

3)Demonstrate the difference between the exponent and the base by building models of a given power such as $2^3$ and $3^2$

If you had a model of $2^3$ , the length of this model will be 2, the width of this model will be 2, and the Height of this model will also be 2, in a cube formation. If we had a model of $3^2$ then the model would have a base of 3, and a height of 3, in a square pattern.

4)Demonstrate the difference between to given powers in which the exponent and the base are interchanged by using repeated multiplication

$3^4 = 3\cdot3\cdot3\cdot3$ is not equal to  $4^3 = 4\cdot4\cdot4$

$3^4$ is 3 multiplied by itself 4 times. $4^3$ is 4 multiplied by itself 3 times. The answers are far apart and do not mean or equal the same thing. $3^4 = 81$ and $4^3 = 64$

5)Evaluate powers with integral bases (excluding 0) with whole exponents

when you evaluate powers with Integral bases, and whole number exponents, you use repeated multiplication. For example:

1. $4^2 = 4\times4 = 16$

2. $3^2 = 3\times3 = 9$

3. $2^2 = 2\times2 = 4$

4. $1^2= 1\times1 = 1$

5.$(-2)^2 = (-2)\times(-2) = 4$

6)Explain the roll of Parenthesis in powers by evaluating a given set of powers such as, $(-2)^4$ $(-2^4)$ and $-2^4$

$(-2)^4$ is the same as $(-2)\cdot(-2)\cdot(-2)\cdot(-2)$. The base of this power is(-2) and is being multiplied by itself 4 times. $(-2^4)$ and $-2^4$ both mean the same thing. They both are equal to $(-1)\cdot2\cdot2\cdot2\cdot2\cdot2$. the base is 2, and the -1 is the coefficient.

7)Explain the exponent law for multiplying powers with the same base.

When you multiply any power that has the same base, you can add the exponents together, and it will equal the same thing. for example $3^2\cdot3^4 = (3)(3)\times(3)(3)(3)(3) = 3^{2+4} = 3^6$

With a coefficient, you multiply the coefficient, and then add the exponents.

$3x^3\times2x^5$

1st, $3\times2 = 6$ Multiply the coefficients

2nd $x^{3+5} = x^8$ Add the exponents.

3rd $6x^8$

When dividing, you subtract the exponents, if they have the same base. For example $\frac{4^6}{4^3} = 4^{6-3} = 4^3$

With a coefficient, you divide the coefficients, then subtract the exponents

$\frac{4x^7}{2x^3}$

1st $4\div2 = 2$ Divide the exponents

2nd $x^{7-3} = x^4$

3rd $2x^4$

8) Explain the exponent laws for raising a product and quotient to an exponent.

When you raise a product of a quotient to an exponent, you have to use the power law. You multiply the exponents together.

$(2^2)^5 = 2^{2\times5} = 2^{10} = 1024$

9) Explain the law for powers with an exponent of zero.

Any number besides zero raised to the power of zero will always equal one. For example, if I were to start at $\frac{3^3}{3^3} = 3^{3-3} = 3^0 = 1$ another way to explain it, is to use repeated multiplication. $\frac{3^3}{3^3} = \frac{3\times3\times3}{3\times3\times3} = \frac{1}{1} = 1$

10) Use patterns to show that a power with an exponent of zero is equal to one.

1. $3^4 = 81$

2.$3^3 = 27$

3.$3^2 = 9$

4.$3^1 = 3$

5. $3^0 = 1$

As you go down this scale, each time the answer is divided by three, so in the end, 3 divided by 3 is one, so $3^0$ is one.

11.  Explain the law for powers with negative exponents.

If you have a power with a negative exponent, you can turn it into  a fraction using its reciprocal at the fraction, with a positive exponent.

$3^{-5} = \frac{1}{3^5}$

12. Use patterns to explain the negative exponent law

1.$2^3 = 8$

2.$2^2 = 4$

3. $2^1 = 2$

4. $2^0 = 1$

5. $2^{-1} = \frac{1}{2}$

6. $2^{-2} = \frac{1}{4}$

as you go down in this table, each time the quotient divides by two, so 1 divided by 2 equals $\frac{1}{2}$

13. I can apply the exponent laws to powers with both integral and variable bases.

When you add in a variable to any exponent laws, it works the same as with any integral. $2^4\cdot2^2 = 2^{4+2} = 2^6$. with variables it is the same. $x^4\cdot x^2 = x^{4+2} = x^6$

14. I can identify the error in a simplification of an expression involving powers.

15)  Use the order of operations on expressions with powers.

$\frac{3^3\times3^{-1}}{4^2}\times\frac{2^3}{2^2}$

first I would simplify the exponents on the threes. $3^{3+(-1)} = 3^2$. Then I would solve for all the exponents, and that would result in $\frac{9}{16}\times\frac{2}{1}$. That will equal to $\frac{18}{16} = \frac{9}{8}$

16)  Determine the sum and difference of two powers.

There isn’t any laws in order to find the sum and the difference of two powers, you just have to solve for it yourself by using BEDMAS to fint the answer. $4^3 - 4^2 = 64 - 16 = 48$,  $5^2 - 2^3 = 25 - 8 = 17$

17)  Identify the error in applying the order of operations in an incorrect solution.

$7^2 - 3^2\times2^3$ = $[7-3]\times2^{2-2\times3}$ = $8^0 = 1$

first of all, you need to follow BEDMAS when completing these problems. one of the first errors is, they multiplied all the bases together, which you are never supposed to do in any power related law. then, they added and multiplied the exponents, and did this in the wrong order according to BEDMAS. How you are supposed to answer this question correctly, is first, you evaluate all the exponents. this bring us to $49 - 9\times8$ = 49 – 72 = -23.

18) Use powers to solve problems (measurement problems)

if you had a 6 cm side length of a shaded square with another square with a side length of 4 cm of an un-shaded square inside, how mush of the shaded part is left.

To right out this question is power format, would be $6^2cm - 4^2cm$  and would equal 36cm – 16cm = $20 cm^2$

19) Use powers to solve problems (growth problems)

If my dog weighs 40 pounds as a puppy, and doubles his body weight every year, how much will he weigh by 3 years? 4 years? 6 years?

In 3 years: $40\times2^3$ = 320

In 4 years: $40\times2^4$ = 640

In 6 years: $40\times2^6$ = 2560

20) Applying the order of operations on expressions with powers involving negative exponents and variable bases.

$3^{-3}\times y^3\div y^{-2}\times y^3$

1. $3^{-3} = \frac{1}{9}$

2. $y^{3-([-2]+3)} = y^2$

3. $\frac{y^2}{9}$

When answering these questions, you have to use BEDMAS, in the correct order. In this case, I start with Answering the exponents. with these exponents, there is still a way to simplify. I subtracted the exponents on the alike bases. Then I followed the rest in Order, remembering the negative exponents rule.

Anything else that I know about exponents…

Anything raised to the power of one, is it itself, $6^1 = 6$

Positive 1 raised to the power of any whole number will always be 1. $1^4 = 1\times1\times1\times1 = 1$

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# LateX coding

Example 1, exponents: $5^2$

Example 2, two digit exponents: $5^{20}$

Example 3, fractions: $\frac{3}{5}$

Example 4,multiplication: $3x^2\cdot5x^7$,

Example 5, division: $\frac{25}{11}\div\frac{3^4}{5}$

Example 6, size: $6^{-5}$

Example 7, color: $6^7$

Example 8, background colour, $6^9$

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# Digital Footprint

My Digital footprint

When I googled myself, I didn’t find any pictures of me online. All that I saw were some old results from some of my sports competition and tryout results from about two years ago. I found nothing negative about me online.

How may my digital footprint affect your future?

Today’s world, is based on technology. From the time when you’re born, until the day you die, your life is tracked whether you know it or not. Even then, your digital portfolio lives on. What you post on social media, sets an image about you. It especially effects you later on in life. As you get a job in you future, your employers will google you. Anything you post isn’t private, so anybody and everyone can see it if needed, and if wanted to see it. If you post anything negative, about you or anyone else, even if you delete it, everyone can still see it. Your employer, will search your name up online, and probably won’t hire you if they see much negativity. Even if you want to rent a place to live, the owners of the building will search you up, to see if you’re appropriate to even live there. If you keep all the things you post online appropriate and kind to everyone, than your future will be open to more opportunities.

What are 3 strategies that you can use to keep your digital footprint appropriate and safe.

1. To keep you digital footprint appropriate and safe, always think before you post anything, from pictures to just comments. You have to ask, would you be okay if your mom, or your grandma saw

what you posted? Is it kind to everyone who see’s it? Would this befit you in your future? If you answer no to any one of these questions, is it really okay to post?

2. Always ask, when you post a picture of someone else. If you have a great picture of yourself with another person, make sure you ask them before you post. If they don’t like it or don’t want you to post it, it will always be on the internet somewhere even after you delete it, and they won’t want that picture, haunting them for the rest of their lives.
3. Switch all accounts to private. Doing this limits people, so they can’t access any personal accounts as easily as any public account. But even if your account is private, as soon as you hashtag (#) any of your posts, anyone can now look for, and find your post, that belongs to that tag. If your account is private, you have more control over who can see your posts, and never share your passwords.

What information did you learn that you would pass on to other students? How would you go about telling them?

I learned that your digital footprint will effect you wherever you go, and in whatever you do.

Anything that you put up online, will stick with you forever. What I would go and tell other students, is be careful about everything you do. Even if your not online, and do something stupid, people can easily take a video and post it with all the modern day technology. People can track anything that you do, or have done, so always think before you do anything on social media. It can easily change your future, and everything else in the present. How I would go about telling other students, is through my posts, to learn how to develop a positive digital footprint, that is good for now, and for later.