Question

Find the integers please


http://i.imgur.com/UQNVhOc.png

Answer 1

Integers: {....,-3,-2,-1,0,1,2,3,...}

Answer 2

so first 2 ar eintegers

Answer 3

also the last two

Answer 4

The first two are integers. Correct. Now finish the rest of them.

Answer 5

Why is 1/6 an integer?

Answer 6

you said 1, 2 ,3, etc? so i thought 6 is also integer

Answer 7

wait i got it

Answer 8

its not and so is 45.6

Answer 9

The second from last one says 1/6. And you said the last two are integers. So I was questioning why you think 1/6 is an integer.

Answer 10

ya just realized its not thanks

Answer 11

No problem.

Answer 12

hey

Answer 13

is 21/7 integer?

Answer 14

Yes.

Answer 15

and 21/10 is not?

Answer 16

21/7 = 3, yes, 3 is an integer.

Answer 17

21/10 = 2.1; 2.1 is NOT an integer.

Answer 18

so -88 is not either

Answer 19

Why isn't -88 an integer?

Answer 20

Look at the set of integers I typed in my first post. The thee dots before the -3 means all the negative whole numbers are there. So - 1,000,000,005 is also an integer.

Answer 21

so if you can get a number x a number equal -88 its integer?

Answer 22

Yes. so the sqrt(100)/sqrt(25) is an integer.

Answer 23

Any number equivalent to one of the numbers in that set will also be an integer. That's why 21/3 is an integr, as it is equivalent to 7.

Answer 24

so prime and and odd numbers are integers

Answer 25

Yes, absolutely.

Answer 26

such as 59

Answer 27

All prime numbers are integers.
But not all integers are prime numbers.

Answer 28

The set of prime numbers is a subset of the set of integers.

Answer 29

"Subset" meaning is part of the set of

Answer 30

please tell me if i am right because if i get them all right they wont give me any more of these questions and i will finish this topic http://i.imgur.com/z8hTTO8.png

Answer 31

Why is 17/5 an integer?

Answer 32

?

Answer 33

it has 17

Answer 34

why its not

Answer 35

2x3 = 5

Answer 36

But 17/5 is the number you are to determine if it is an integer. You can't take a "piece" of 17/5 and say since 17 is an integer, therefore, 17/5 is an integer.

17/5 = 3 and 2/5 which is NOT an integer.

Answer 37

the rest were correct?

Answer 38

Yes.

Answer 39

Do you understand why 17/5 is not an integer?

Answer 40

omg i am now done with this topic, only because you helped me

Answer 41

yes i have to determine it

Answer 42

all of it and not just one number

Answer 43

The truth is, you don't want to be done so that you can move on. You want to be done becuase you have mastered that unit on your own and you understand it. So then you can move on.

Answer 44

in the future they will give me assessment that will include this type of questions , so thats how they test what i know and i also have to call the teacher and she will ask me questions

Answer 45

thanks

Answer 46

can you help me with another topic? its the same but with rational and irrational numbers

Answer 47

Feel free to be in contact, and can help you when I'm online.

Answer 48

i dont want to waste your time to just help me because that will make me selfish

Answer 49

Yes, lets look at rational and irrational numbers.

Answer 50

so any number with a pie is irrational?

Answer 51

so here is a ss http://i.imgur.com/wrbUgsH.png

Answer 52

not necessarily.

A rational number is any number that can be written as a fraction a/b, where a and b are integers, but b cannot be 0.

Example: 5 is a rational number because it can be written as 5/1.
2.6 is a rational number because 2.6 can be written as a fraction 26/10.

But a number that cannot be written as a fraction, where numerator and denominator are integers is an irrational number.

Example is pi, or square root of 2.

These are numbers that are non-repeating decimals and non-terminating.

Answer 53

Does this make sense?

So, any decimal that repeats itself, will be a rational number, because it can be written as a fraction.

So .8888888.... is a rational number;

so is the number .023023023.... is also a rational number as it is a repeating decimal.

Answer 54

But the square root of 3 is not a rational number becuase it is a decimal that does not end (non-terminating) and does not repeat itself.

Answer 55

Does all this make sense before we look at your sheet?

Answer 56

yes it does

Answer 57

ok..let's look at the sheet. And I would like you to tell me the answer you think is correct for each number. Then we can review your answers.

Answer 58

so sqrt is not and even if its minues sqrt 3?

Answer 59

I will wait a moment or two to give you a chance to work on this sheet. Take your time.

Answer 60

Work on all the questions and then we can look at all of them together.

Answer 61

ok

Answer 62

Tell me when you are ready.

Answer 63

ready

Answer 64

its timed

Answer 65

OK. From the five numbers on the sheet, which are rational numbers?

Answer 66

sqrt 64

Answer 67

- sqrt 64

Answer 68

just this one

Answer 69

That number is a rational. But there are more numbers that are rational. The number -84.29 is also rational because it is a decimal that terminates (has an end). For that matter, -84.29 can be written as a fraction.

Also, the number -45.7 witha bar on top of the 7..that number is -45.7777777777..... it is a repeating decimal, and as we said before, all repeating decimals is a rational number, as that number can be written as a fraction.

Answer 70

Does this make sense?

Answer 71

-45.7 only has one decimal so if its just on 7 how is it repeating?

Answer 72

whats that bar called anyways?

Answer 73

There is a bar on top of the 7, that bar on top of the 7 means that the 7's repeat itself.

Answer 74

well that is what i didnt know

Answer 75

So if there was no bar on top of the 7, say the number -45.7, would that be a rational number or irrational number?

Answer 76

irrational

Answer 77

No. It will be a rtiaonal number. Becuase that number has a decimal, and it stops after the 7. That's called a terminating decimal..a decimal that has an end. So all decimals that are terminating are rational numbers.

We could write -45.7 as a fraction. How? -45.7 means -45 and 7/10 ..and that can be written as an improper fraction...as -457/10. and that is a fraction with numerator and denominator being integers.

Does this make 100% sense to you?

Answer 78

so if it has decimal its rational?

Answer 79

i lose connection

Answer 80

If it has a decimal that is either terminating OR repeating, then it is a rational number.

Answer 81

give me an example of a number with a decimal that does not terminate or repeat irrational

Answer 82

But the square root of 3, which is also a decimal...is a decimal that goes on and on, never terminates and does NOT repeat itself, so that is an irrational number.

Answer 83

Do you understand?

Answer 84

i do and i also just did one sheet and i thinkk i got them right

Answer 85

http://i.imgur.com/5Xrt8nb.png

Answer 86

Now, I am sure you have another sheet or two on rational numbers and irrational numbers. Let me see that sheet or two, so you can do it, and let me check if you are correct. Post those sheets.

Answer 87

i can only post one at a time i have to submit it then they will give me a new oen

Answer 88

OK. So post the next sheet.

Answer 89

i did

Answer 90

http://i.imgur.com/5Xrt8nb.png

Answer 91

Are those your final answers?

Answer 92

yes final

Answer 93

also does a minus change any?

Answer 94

thing*

Answer 95

Great! Because all of them are correct! Did you guess on any of them?

Answer 96

no

Answer 97

A minus does not have any effect on being rational or irrational.

Answer 98

ever?