**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**

Group 1 consist of examples of terminating decimals.

ReplyDeleteGroup 2 consist of examples of repeating decimals.

Group 1

ReplyDeletea. 0.375

b. -0.36

Group 2

recurring decimal:

c. 0.5555555555556

d. -0.818181818182

Group 3

e. 0.2142857143

f. -0.1052631579

This comment has been removed by the author.

ReplyDeleteGroup 1

ReplyDeletea) 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

This comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDeletea)0.375

ReplyDeleteb)-0.36

c)0.5555555555

d)-0.818181818

e)0.214285714

f)-0.105263157

Group 1

ReplyDelete(a) 0.375

(b) -0.36

Group 2 (recurring decimals)

(c) 0.5555555556

(d) 0.8181818182

Group 3

(e) 0.2142857143

(f) -0.1052631579

Group 1

ReplyDelete(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

Group 1

ReplyDelete(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(:

Group 1

ReplyDelete(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

Group 1 a) 0.375

ReplyDeleteb) -0.36

Group 2 a) 0.5555555556

b) -0.8181818182

Group 3 e) 0.2142857143

f) -0.1052631579

This comment has been removed by the author.

ReplyDeleteGroup 1

ReplyDeletea0.375

b -0.36

Group 2

c0.5555555555

d0.8181818182

Group 3

e0.2142857143

f -0.1052631579

(a) 0.375

ReplyDelete(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.

3/8=0.375

ReplyDelete-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.

Group 1 are examples of terminating decimals

ReplyDeletea)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

1.(a)0.375

ReplyDelete1.(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.

Group 1

ReplyDelete(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.

group 1

ReplyDelete(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

Group 1:

ReplyDelete(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.

Group 1

ReplyDeletea) 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.

Group 1:

ReplyDelete(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.

Numbers in group 1 consist of decimals which do not go on and on forever.

ReplyDeleteNumbers 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

Group 1 : 3/8 = 0.375

ReplyDelete-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.

group 1

ReplyDelete(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