**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

ReplyDelete(a) 3/8 = 0.375

(b) -9/25 = -0.36

Group 2

(c) 5/9 = 0.55555556

(d) -9/11 = 0.81818182

Group 3

(e) 3/14 = 0.21428571

(f) -2/19 = -0.10526316

Group 1

ReplyDelete(a) 3/8 = 0.375

(b) -9/25= -0.36

Group 2

(c) 5/9 = 0.555555555

(d) -9/11= -0.818181818

Group 3

(e) 3/14 = 0.214285714

(f) -2/19 = -0.105263157

Teoh Yun

a) 0.375

ReplyDeleteb) -0.36

c) 0.555555555

d) -0.818181818

e) 0.214285714

f) -0.105263157

a) 0.375

ReplyDeleteb) -0.36

c) 0.55555556

d) -0.81818181812

e) 0.214857143

f) -0.1052631579

Yes.

Group 1 - Terminating decimal

Group 2 - repeating decimal

Group 3 - Unknown. : D

Group 1

ReplyDelete(a)0.375

(b)0.36

Group 2

(a)0.5555555556

(b)0.8181818182

Group 3

(a)0.2142857143

(b)0.1052631579

I used natural V.P.A.M calculator

This comment has been removed by the author.

ReplyDeleteThe group is called the terminating decimal

ReplyDelete(a)0.375

(b)-0.36

This group is called the repeating decimal

(c)0.555555555555

(d)-0.81818181818

This group is called the real numbers

(e)0.214285714

(f)-0.105263157

Terminating Decimals

ReplyDeletea) 0.375

b) -0.36

Repeating decimals

c) 0.5555555556

d)-0.8181818182

not sure

e) 0.2142857143

f) -0.1052631579

a) 0.375

ReplyDeleteb) -0.36

c) 0.5555555556

d) -0.8181818182

e) 0.2142857143

f) -0.1052631579

Group 1: Terminating decimal

Group 2: Repeating decimal

Group 3: Yet to be found.....

This comment has been removed by the author.

ReplyDeleteGroup 1(Terminating Decimal)

ReplyDelete(a) 3/8=0.375

(b) -9/25=-0.36

Group 2(Repeating decimal)

(c) 5/9=0.5555555556

(d) -9/11=0.8181818182

Group 3(Non-terminating and non-repeating decimals)

(e) 3/14=0.2142857143

(f) -2/19=-0.1052631579

Group 1 (Terminating Decimal)

ReplyDeletea) 0.375

b) -0.36

Group 2 (Recurring Decimal)

c) 0.55555556

d) -0.81818182

Group 3 (Irrational Decimal)

e) 0.21428571

f) -0.10526316

Group 1

ReplyDelete(a) 3/8 = 0.375

(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 = -0.1052631579

Group 1 are finite numbers and are called terminating decimals.

Group 2 are repeating decimals.

Group 3 are non-terminating and non-repeating decimals.

Question: Answer:

ReplyDeleteGroup 1 (Terminating Decimals)

(a) 3/8 (a) 0.375

(b) -9/25 (b) -0.36

Group 2 (Recurring Decimals)

(c) 5/9 (c) 0.555555555

(d) -9/11 (d) -0.818181818

Group 3 (Irrational Decimals)

(e) 3/14 (e) 0.214285714

(f) -2/19 (f) -0.105263157

Group 1- Terminating Decimal

ReplyDelete(a) 3/8 =0.375

(b) -9/25=-0.36

Group 2- Repeating Decimal

(c) 5/9=5/9 (0.5555555555…)

(d) -9/11=-9/11 (-0.8181818181…)

Group 3-Non-Terminating Decimals

(e) 3/14=3/14 (0.2142857143…)

(f) -2/19=-2/19 (-0.1052631579…)

Group 1: 0.375 & -0.36

ReplyDeleteGroup 2: 0.55555555...... & -0.818181818181.............

Group 3: 0.21428571 & -0.10526316

Names of Group 1 is Non-repeating and Non-terminating numbers,Group 2 is Recurring decimals,Group 3 is Terminating decimals

Group 1

ReplyDelete(a) 3/8 =0.375

(b) -9/25 =-0.36

Group 2

(c) 5/9 =5/9 (0.5555555555…)

(d) -9/11 =-9/11 (-0.8181818181…)

Group 3

(e) 3/14 =3/14 (0.214285714281754…)

(f) -2/19 =-2/19 (-0.105263157894737…)

Group 1 - Group of numbers with a terminating decimal.

Group 2 - Group of numbers with a repeating decimal that has 2 repeating digits.

Group 3 - Group of numbers with a non-terminating decimal.

-Christopher Nah

Group 1

ReplyDelete3÷8=0.375

-9÷25=-0.36

Group 2

5÷9=0.5555555556

-9÷11=0.8181818182

Group 3

3÷14=0.2142857143

-2÷19=0.1052631579

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ReplyDeleteThese are what is shown on the calculator

ReplyDelete0.375, -0.36(Group 1) Terminating Decimal

0.5555555556, -0.8181818182 (Group 2) Repeating Decimal

0.2142857143(3 S.F), -0.1052631579(3 S.F) (Group 3) Real Numbers

Group 1 belongs to terminating decimals

ReplyDeleteGroup 2 belongs to repeating decimals

Group 3 belongs to real numbers

I used the dashboard calculator.

ReplyDeleteGroup 1 belongs to terminating decimals.

Group 2 belongs to repeating decimals.

Group 3 belongs to real numbers.

group1 is terminating decimal

ReplyDeletea)0.375

b)0.36

Group 2 is repeating decimal

a)0.5555555556

b)0.8181818182

Group 3 is rational no. aproximations

a)0.2142857143

b)0.1052631579

The calculator shows...

ReplyDeleteGroup 1 (Terminating Numbers)

(a) 3/8 = 0.375

(b)-9/25 = -0.36

Group 2 (Repeating Number)

(c) 5/9 = 0.555555556

(d) 9/11 = 0.8181818182

Group 3 (Non-Terminating and Non-Repeating Number)

(e) 3/14 = 0.2142857143

(f) -2/19 = 0.1052631579

Group 1 is called terminating decimal as it ends after a few decimal.

ReplyDeleteGroup 2 is called repeating decimal as it repeats itself forever.

Group 3 is called real number as it is non-terminating and non-repeating.

Group 1

ReplyDelete(a) 3/8 = 0.375

(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 = -0.1052631579

Group 1 are called terminating decimals and only has a few decimals behind.

Group 2 are called repeating decimals and has a lot of similar decimals all the way.

Group 3 are called non-terminating and non-repeating decimals and does not repeat the decimals all the way.

Group 1- Terminating decimals

ReplyDeletea)0.375

b)-0.36

Group 2-Repeating decimals

c)0.555555555

d)-0.81818181818

Group 3- Non-terminating decimals

e)0.214285714

f)0.105263157

Difference: Group 1 terminates at 3 decimals place, Group 2 repeats the numbers, Group 3 never terminates.

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ReplyDeleteGroup 1 is terminating decimal

ReplyDelete(a) 3/8

decimal is 0.375

(b) -9/25

decimal is -0.36

Group 2 is repeating decimal

(c) 5/9

decimal is 0.555555555

(d) -9/11

decimal is -0.818181818

Group 3 is Non-terminating and non-repeating decimals

(e) 3/14

decimal is 0.214285714

(f) -2/19

decimal is -0.105263157

Group 1

ReplyDeleteTerminating Decimal

Group 2

Repeating decimal

Group 3

Non-terminating decimal

Group 1 : 0.375 & -36 Terminating Decimals

ReplyDeleteGroup 2 : 0.55555555555... & -0818181... Recurring Decimals

Group 3 : 0.2142857143 & 0.1052631579 Non-repeating and Non-terminating numbers

group 1

ReplyDelete(a)0.375

(b)-0.36

terminating decimals

group 2

(c)0.555555555

(d)-0.818181818

repeating decimals

group 3

(e)0.214285714

(f)0.105263157

non-terminating number

the numbers in group 1(terminating number) has only 2 to 3 decimals,the numbers in group 2(repeating decimals)has recurring numbers and numbers in group 3(non terminating numbers) have no-recurring numbers.