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Wednesday, March 7, 2012

Integers v. Rational numbers

What is the difference between integers and rational numbers?  Use examples to justify your answer.

60 comments:

  1. Integers are any whole number with its opposites and 0.
    example: -5 -4 -3 -2 -1 0 1 2 3 4 5

    Rational numbers are Number that can be expressed as a quotient of two integers where the divisor is not 0. like fractions 1/2 or 3/5, 9/11
    0.799= 799/1000'

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    1. So then what kind of number is -2.5? What kind of number is -45?

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    2. -2.5 is a Rational number and -45 is a integer?

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    3. Why the question mark Aleese? Think about whether your definition supports them. Is -2.5 a way to write a quotient where the divisor isn't 0? I think that -5 divided by 2 might be a good place to start looking for support.

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    4. I just wasn't sure. and yeah they do. because -2.5 isn't a integer because it isnt a whole number and -45 is because it is a whole number. right?

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  2. integer are whole numbers, its neither negative or positive

    rational number is any numbers that can be written as a quotient

    examples:
    integer-5,8,3
    rational numbers-1/2=0.5,3/-4=-0.75,-0.34=-34/100

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    1. An integer is neither positive or negative? Then what kind of number is it? You need to go back through our materials and check on integers. Also- you are missing something about rational numbers. For example: Is 2/0 an example of a rational number? Great examples!!

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    2. uhhhh....i don't know what you mean i just wrote down the stuff i had in my notebook. && thank you!!!! never mind about "its negative or positive"....

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    3. So can you please re-type what you meant so that you have a clear definition for yourself?

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    4. hmm..I mean
      an integer is a whole number, negative and positive

      a rational number is any numbers that can be written as a quotient,

      examples:
      integers- 5,8,3
      rational number- 1/2=0.5,-0.34=-34/100

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  3. integer are numbers that are whole and either negative or positive.
    rational numbers are and can be written as a quotient.

    for example: integer, 10, 2 ,7
    rational .25=1/4, .5=1/2, .90=9/10

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    1. Your definition of rational numbers is missing something! What about 2/0? Is that a rational number? Also your examples for integers also didn't include any negative numbers even though you said it could. Why didn't you include any?

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    2. the rational numbers can be negative or positive is that it?

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    3. and no because its a whole number

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    4. What about 2/0? Is that a rational number? Rational numbers are written as a quotient. We will see them in decimal form, whole number form, and fraction form, both positive and negative. So if you divide 2/0 would you get a rational number?

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    5. its not possible because 2/0 doesnt make sense therefore it aint a rational number.

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  4. a integer is a whole number that is not negative or positive
    -3 -2 -1 0 1 2 3

    a rational number is a number that is written like a quotient
    5 5/1 1.75 1.1000

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    1. If an integer is not negative or positive, then what is it?

      What else is important about the quotients formed by a rational number? What can't happen?

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    2. rational numbers can be written as a decimal or fraction

      a integer is a number that is not a fraction

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    3. So can an integer be both positive and negative or not?

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    4. integers are positive and negative

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  5. Rational numbers can be written as a quotient and can be written as fractions or decimals
    0.75=2/3 3/5=0.60

    Integers are are whole number that can be negative or positive
    9,+3,-8

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    1. I agree with Yamni. You did a nice job here!! I just have one question... With rational numbers there is one type of divisor or denominator that cannot exist...what is it?

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  6. integers any whole number -1 0 +1
    rational numbers any number but 0
    R.N -1.5 +1.5

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    1. You need to be more specific about rational numbers. You need to stick fairly closely to what we defined it as on the first day of our study because zero is actually a rational number. Your examples are good, but you definition needs work.

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    2. a rational number is any quotient or fraction

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  7. A rational number can be any number except 0, and a integer can only be a whole number

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    1. Better check that. Zero is a rational number. You are forgetting a whole part about rational numbers. Can integers be positive or negative or both? You need to be a little more specific. You also need examples.

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    2. integers are WHOLE numbers, like 3, 18, 34, and 256. Rational numbers are any numbers which can be expressed as a ratio of two integers - 3/4 is a rational number. 124.45 is a rational number. In other words, rational numbers INCLUDE all integers. Fractions are Rational numbers.

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    3. Thanks Gavyn! Make sure you write your complete answer in your notebook or in some other place so that you can use it for the test.

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  8. Rational Numbers - Any number that can be written as a greatest ( answer to a division problem) of two integers where the divisor is not zero
    1/2 = 0.5 , -9/11 , 3/-4 = 0.75 -0.34 = -34/100

    Integers - The whole numbers and their opposites. 0 is an Integer , but is neither positive nor negative. THe integer from -4 to 4 are shown on the line below <---|---|---|---|---0---|---|---|---|--->
    -4 -3 -2 -1 1 2 3 4

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    1. Do you mean quotient not greatest? Retype what it should say please.

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    2. Rational Numbers - Any number that can be written as a Quotient ( answer to a division problem) of two integers where the divisor is not zero
      1/2 = 0.5 , -9/11 , 3/-4 = 0.75 -0.34 = -34/100

      Integers - The whole numbers and their opposites. 0 is an Integer , but is neither positive nor negative. THe integer from -4 to 4 are shown on the line below <---|---|---|---|---0---|---|---|---|--->
      -4 -3 -2 -1 1 2 3 4

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  9. Rational Number
    Any number that is an answer to a division problem.
    1/2 = 0.5

    Integer
    A whole number that is negative or positive

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    1. Can a rational number be negative or positive?

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    2. Ok now provide some examples of integers and one more of a rational number.

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  10. Integer: A whole negative or positive number
    like: -4 or +8

    Rational: Any number that can be expressed on a number line.

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    1. What else about rational numbers did we learn? How do you find one?

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    2. Umm they can be written in fractions and decimals...?

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    3. Correct...as long as the denominator or divisor is not 0, you get a rational number.

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  11. a integer is a whole # , negative and positive
    a rational # is any # that can be written as a quotiENT

    ex: integer= +3,2-7 R#=3/5=0.60



    * am i right *

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  12. Rational Number
    Any number that is an answer to a division problem. That is Positive or Negative
    1/2 = 0.5

    Integer
    A whole number that is negative or positive

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    1. Glad you reposted but you still need examples.

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  13. Rational Number
    Any number that is an answer to a division problem. That is Positive or Negative
    1/2 = 0.5

    Integer
    A whole number that is negative or positive
    -5 5

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  14. Integer: Is a whole number negative or positive like -5 +2.


    Rational Numbers:Any number that is an answer to a division problem.

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  15. See in simple way Rational numbers are those which are in form of p/q where q is not equal to 0 like 2/3, 8/9, 0.54 etc and integers are all numbers lie between -infinite to +infinite means all numbers are integers like -2, -5.2,5, 8 etc.
    Famous Irrational Numbers

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