Using Calculators, we discover that...

Using a calculator,
what values do we get for each of the following

Group 1
(a) 3/8
(b) -9/25

Group 2
(c) 5/9
(d) -9/11

Group 3
(e) 3/14
(f) -2/19

Can you tell any difference amongst the 3 groups of numbers?
Each of them has as "special name". What is it?
Hint: You may refer to your textbook (p45 & p46) or see Hint 1; Hint 2

After note

About the calculators:
  • We learnt that different brands/models of calculators adopt slightly different algorithms when displaying the final answers (for those with decimals, in particular).
  • Method 1: By rounding off the numbers
  • Method 2: By truncation (without taking into consideration the next digit that would not be displayed)
About Numbers:
  • All numbers can be expressed as fractions, hence they are all rational numbers
  • Amongst the rational numbers, there are 3 types: Terminating decimals; Repeating (Recurring) decimals; Non-terminating and non-repeating decimals
  • There are numbers like π that cannot be expressed as a fraction. These are known as irrational numbers

26 comments:

  1. Group 1 consist of examples of terminating decimals.
    Group 2 consist of examples of repeating decimals.

    ReplyDelete
  2. Group 1
    a. 0.375
    b. -0.36

    Group 2
    recurring decimal:

    c. 0.5555555555556

    d. -0.818181818182


    Group 3

    e. 0.2142857143

    f. -0.1052631579

    ReplyDelete
  3. This comment has been removed by the author.

    ReplyDelete
  4. Group 1
    a) 3/8 = 0.275
    b)-9/25 = -0.36
    Group 2
    c)5/9 = 0.5555555556
    d)-9/11 = 0.8181818182
    Group 3
    e)3/14 = 0.2142857143
    f)-2/19 = 0.1052632579

    Group 1 is a terminating decimal
    Group 2 is a repeating decimal
    Group 3 is a non-terminating or repeating decimal

    ReplyDelete
  5. This comment has been removed by the author.

    ReplyDelete
  6. This comment has been removed by the author.

    ReplyDelete
  7. a)0.375
    b)-0.36
    c)0.5555555555
    d)-0.818181818
    e)0.214285714
    f)-0.105263157

    ReplyDelete
  8. Group 1
    (a) 0.375
    (b) -0.36

    Group 2 (recurring decimals)
    (c) 0.5555555556
    (d) 0.8181818182

    Group 3
    (e) 0.2142857143
    (f) -0.1052631579

    ReplyDelete
  9. Group 1
    (a) 3/8 = 0.275
    (b) -9/25 = -0.36

    Numbers from group 1 are terminating decimal

    Group 2
    (c) 5/9 = 0.5555555556
    (d) -9/11 = 0.8181818182

    Numbers from group 2 are repeating decimal

    Group 3
    (e) 3/14 = 0.2142857143
    (f) -2/19 = 0.1052631579

    Numbers from group 3 are non-repeating decimal and non-terminating deciaml

    ReplyDelete
  10. Group 1
    (a) 3/8= 0.375
    (b) -9/25= -0.36
    Group 2
    (a) 5/9= 0.5555555556
    (b) -9/11= 0.8181818182
    Group 3
    (a) 3/14= 0.2142857142
    (b) -0.1052631579

    Group 1 is terminating decimals.
    Group 2 is repeating decimals.
    Group 3 is non-terminating decimals.

    JJ(:

    ReplyDelete
  11. Group 1
    (a) 0.375
    (b)-0.36

    Group 2
    (c)0.5555555556
    (d)-0.8181818182

    Group 3
    (e)0.2142857143
    (f)-0.1052631579

    Group 1 is a terminating decimal
    Group 2 is a repeating decimal
    Group 3 is a non-terminating decimal

    ReplyDelete
  12. Group 1 a) 0.375
    b) -0.36
    Group 2 a) 0.5555555556
    b) -0.8181818182
    Group 3 e) 0.2142857143
    f) -0.1052631579

    ReplyDelete
  13. This comment has been removed by the author.

    ReplyDelete
  14. Group 1
    a0.375
    b -0.36
    Group 2
    c0.5555555555
    d0.8181818182
    Group 3
    e0.2142857143
    f -0.1052631579

    ReplyDelete
  15. (a) 0.375
    (b) -0.36
    (c) 0.5555555556
    (d) -0.8181818182
    (e) 0.2142857143
    (f) -0.1052631579

    Group 1 examples are terminating decimals.
    Group 2 examples are repeating decimals.
    Group 3 examples are neither terminating nor repeating decimals.

    ReplyDelete
  16. 3/8=0.375
    -9/25=-0.36

    Group 1 consists of terminating decimals.

    5/9=0.5555555556
    -9/11=0.8181818182

    Group 2 consists of repeating decimals.

    3/14=0.2142857143
    -2/19=-0.1052631579

    Group 3 consists of repeating decimals.

    ReplyDelete
  17. Group 1 are examples of terminating decimals
    a)0.375

    b)0.36
    Group 2 are examples of recurring decimals

    c)0.555555555


    d)-0.818181818


    Group 3 are examples of repeating decimals

    e)0.214285714

    f)-0.105263157

    ReplyDelete
  18. 1.(a)0.375
    1.(b)-0.36
    2.(a)0.555555555...
    2.(b)0.818181818...
    3.(a)0.214285714...
    3.(b)0.105263157...

    Group 1 consist of terminating decimals.
    Group 2 consist of repeating decimals.
    Group 3 consist of non-terminating and non-repeating decimals.

    ReplyDelete
  19. Group 1
    (a) 3/8 = 0.375
    (b) -9/25 = -0.36

    Group 2
    (c) 5/9 = 0.555555556...
    (d) -9/11 = -0.81818182

    Group 3
    (e) 3/14 = 0.2142857143
    (f) -2/19 = -0.1052631579

    The fractions in Group 1 are examples of terminating decimals as they have a finite number of digits.

    The fraction in Group 2, on the other hand, are repeating decimals.

    The fractions in Group 3 have infinite number yet they are not repeating. They are neither terminating nor repeating numbers.

    ReplyDelete
  20. group 1
    (a) 0.375
    (b)-0.35

    these are terminating decimal

    Group 2
    (c) 0.5555555556
    (d)-0.8181818182

    these are repeating decimals

    group 3

    (e) 0.2142857143
    (f)-0.1052631579

    these are also repeating decimals

    ReplyDelete
  21. Group 1:
    (a)0.375
    (b)-0.36
    Group 2:
    (c)0.5555555556
    (d)0.818181818182
    Group 3:
    (e)0.2142857143
    (f)-0.1052631579
    Group 1 is terminating decimal.
    Group 2 is repeating decimal.
    Group 3 is non-terminating decimal.

    ReplyDelete
  22. Group 1
    a) 0.375
    b) -0.36

    Group 2
    c) 0.555555555
    d) 0.818181818

    Group 3
    e) 0.214285714
    f) -0.105263157

    terminating decimals and repeating decimals.

    ReplyDelete
  23. Group 1:
    (a) 0.375
    (b) -0.36

    Group 2:
    (c) 0.555555555
    (d) -0.818181818

    Group 3:
    (e) 0.214285714
    (f) 0.105263157

    Group 1 is terminating decimal.
    Group 2 is repeating decimal.
    Group 3 is non-terminating decimal.

    ReplyDelete
  24. Numbers in group 1 consist of decimals which do not go on and on forever.
    Numbers in group 2 and 3 consist of numbers which go on and on forever .
    (a) 0.375
    (b) -0.36
    (c) 0.5555555556
    (d) -0.8181818182
    (e) 0.2142857143
    (f) -0.1052631579

    ReplyDelete
  25. Group 1 : 3/8 = 0.375
    -9/25 = -0.36
    Numbers in Group 1 consist of decimals which do not repeat themselves over and over.

    Group 2 : 5/9 = 0.555555555
    -9/11 = 0.818181818
    Numbers in Group 2 consist of decimals which repeat themselves.

    Group 3 : 3/14 = 0.214285714
    -2/19 = -0.105263157
    Numbers in Group 3 consist of decimals which goes on and on.

    ReplyDelete
  26. group 1
    (a)0.375
    (b)-0.36
    group 2
    (c)0.5555555555556
    (d)-0.818181818181818
    group 3
    (e)0.214285714285714
    (f)-0.105263157894737
    Group 1 is a terminating decimal
    Group 2 is a repeating decimal
    Group 3 is a non-terminating or repeating decimal

    ReplyDelete