4 decimals form 1

8/17/2019 4 Decimals form 1

1/31

Topic 4

D E C I M A L S

2 3 .9 12.6

1 . 0 9

0 .6 8

0. 7 78 9

0. 0 0 4 3

R M 3 4.5 0


2/31

Decimalse !se "ecimals

e#e$%"a%. &o$ e'ample()*e p$ices o+ )*i,-s e

/!% a$e $i))e, i, )*e+o$m o+ "ecimals.


3/31

5.67 m

M% *ome

To sc*ool

Sale

RM4.99

59.8 m

39.5C1.5A

1.75 li)e$


4/31

Loo a) )*e p$ices o+ )*e )*i,-s

i, )*e pic)!$es /elo. om!c* )*e p$ices o+ )*e )*i,-s

RM1(820.99 RM19.95 RM30.55

RM30.55


5/31

Ca, %o! $i)e )*e mass o+

#e$-es as a "ecimal !si,- )*e

!,i) ilo-$am -. Ca, %o!

see )*e mass o+ )*is #e$-es

+$om )*e scale /elo

Decimals a$e !se"

*e, e ,ee" )o

-i#e mo$e acc!$a)e$ea"i,-s )*a) *ole

,!m/e$s ca,,o)

-i#e.

3.5kg

1

2

3

4

5


6/31

Decimal is a ,!m/e$ )*a) $ep$ese,)s a

+$ac)io, i, *ic* )*e "e,omi,a)o$ is

i, )*e +o$m o+ 10( 100( 1 000.

0.32 32 100

0.4 4 10

3.89 389 100

0.067 67 1000


7/31

Rep$ese,)i,- &$ac)io,s 1 a," 1 as Decimals

10 100

a," #ise #e$sa.

Decimals a$e ,!m/e$s *ic* $ep$ese,)

+$ac)io,s i)* "e,omi,a)o$s s!c* as 10(

100 o$ 1000.

3 10


8/31

Rea"i,- $i)i,- Decimals

a 0.3 Zero point three.

/ 79.86 Seventy-nine point eight six.

c 4.0012 Four point zero zero one two.

" 387.605 Three hundred eighty-seven pointsix zero five.

e RM34.25 Ringgit !"!ysi! thirty-four !ndtwenty-five #ents.

+ RM0.45 Forty five #ents or Ringgit !"!ysi!zero point four five.


9/31

C*a,-i,- &$ac)io,s I,)o Decimals

a 1 2

1 : 2 0.5 510

/ 8 13

c 11 20

" 3 2 5

e 1 3 8

To c*a,-e +$ac)io,s i,)o "ecimals( "i#i"e

)*e ,!me$a)o$ /% )*e "e,omi,a)o$

8 : 13 0.615 615

1000

11 : 20 0.55 55100

17 : 5 3.4 3410

11 : 8 1.375 1375

1000


10/31

C*a,-i,- Decimals i,)o &$ac)io,

To c*a,-e "ecimal i,)o +$ac)io,( looa) )*e ,!m/e$ o+ "ecimals -i#e,. I+

)*e$e is o,l% o,e "ecimal place( )*e

"e,omi,a)o$ ill *a#e o,l% o,e ;e$o.T*e, $i)e )*e "ecimal as a +$ac)io,

i)* a "e,omi,a)o$ o+ 10( 100 o$ 1000.

Simpli+% )*e +$ac)io, i+ possi/le.


11/31

C*a,-e )*e +olloi,- "ecimals i,)o

+$ac)io,s

a 0.9 0.9 1 "ecimal place )*e$e+o$e( 9 10 1 ;e$o

/ 0.87

c 0.403

" 2.574

e 76.45

+ 0.0038

$" % "


12/31

$"!#e %!"ue1 As i)* *ole ,!m/e$s( a "i-i) i, a "ecimal

*as a place #al!e. T*e )a/le /elo s*os

)*e place #al!es +o$ "ecimals.

, i ) s

D e c i m a l


13/31

=al!e ?+ Di-i)

Eac* "i-i) i, a "ecimal *as i)s o, #al!e.

T*e #al!e o+ a "i-i) is "e)e$mi,e" /% i)splace #al!e. I, "ecimal 789.163( )*e place

#al!e o+ )*e "i-i) 6 is *!,"$e")*s.

T*e$e+o$e( )*e #al!e o+ "i-i) 6 is 6 o$ 0.06 100

S)a)e )*e ,!m/e$ o+ )*e places i, )*e+olloi,-.

a 89.431 / 16.56 c 307.25


14/31

& Compa$i,- a," ?$"e$i,-

Decimals

&A""i)io,( S!/)$ac)io,( M!l)iplica)io,

a," Di#isio, o, Decimals

2 3 .9

@ 12.6

1 . 0 9

@0. 7 78 9

@ 0. 0 0 4 3

R M 3 4.5 0

0 .6 8


15/31

Compa$i,- Decimals

'hi#h of these de#i(!"s h!s ! gre!ter v!"ue)

45.0976 o$ 45.0915* +ow do you #o(p!re

these two de#i(!"s*

45.0976

45.0915

T*!s( 45.0976

is -$ea)e$ )*a,

45.0915

,n order to #o(p!re these two de#i(!"s)

!rr!nge the( !##ording to their p"!#ev!"ue. Then st!rt #o(p!ring fro( the

"eft.

I"e,)i+% )*e la$-e$ ,!m/e$ o+ )*e

+olloi,- pai$sa 0.8 a," 0.188

/ 3.095 a," 3.099

c 56.28 a," 56.286


16/31

A,% "ecimal i)* a

#al!e less )*a,

;e$o is a ,e-a)i#e"ecimal.

@0.25 @[email protected] @0.10 @0.5

00.50 1.00 1.50 2.00 2.50

Be-a)i#e "ecimals posi)i#e "ecimals

;e$o

A,% "ecimal i)*

a #al!e -$ea)e$

)*a, ;e$o is a

posi)i#e "ecimal.

oo" o/


17/31

@10 @6@8 @4 @2 0@20 @18 @16 @14 @12

Loo a) )*e ,!m/e$s o, )*e li,e ,!m/e$ /elo.

! -0 !nd /1

- !nd -2

# 0 !nd -5

d - !nd -3

e -1 !nd -14

@12

@6

0

@3

@14

Compa$e )*e ,!m/e$s -i#e, a," "e)e$mi,e *ic* ,!m/e$ is -$ea)e$.

T*e ,e-a)i#e

si-, maes)*e "ecimal

,!m/e$

smalle$ )*a,)*e -$ea)e$

,!me$ical

#al!e.

i 6 i "


18/31

rr!nging 6e#i(!"s

Decimals ca, /e a$$a,-e" i, o$"e$ !si,- a

,!m/e$ li,e o$ /% compa$i,- )*ei$ #al!es.Re!rr!nge the fo""owing nu(ers in in#re!sing order

7! 0.32( 0.34(0.39( 0.37( 0.31

Me)*o" 1 D$a

a ,!m/e$ li,e

i)* )e, e!al

i,)e$#als. Ma$

o++ eac* i,)e$#al

i, *!,"$e")*s(

+$om 0.30 )o 0.40

0.30 0.320.31 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.40

Me)*o" 2

A$$a,-e )*e

,!m/e$s

acco$"i,- )o

)*ei$ place #al!e

0.32

0.34

0.39

0.37

0.31

Compa$e )*e *!,"$e")*s

a," $ea$$a,-e )*e o$"e$

0.31

0.32

0.34

0.37

0.39

0.31( 0.32( 0.34( 0.37( 0.39


19/31

Ro!,"i,- ?++ DecimalsDecimals ca, /e $o!,"e" o++ )o a -i#e,

,!m/e$ o+ "ecimal places.Le)s sa%( e

a,) )o $o!,"

)*e ,!m/e$

3.6489 )o 2"ecimal places.

A ,!m/e$

$i))e, )o 2

"ecimal places

*as )o "i-i)s

a+)e$ )*e "ecimal

poi,).

S)ep 1

I"e,)i+% )*e seco," "ecimal place a,"

ma$ i) i)* a slas*.

3.64 F 89

1s) "ecimal places

2," "ecimal places

3$" "ecimal places

S)ep 2Loo a) )*e ,!m/e$ i, )*e )*i$" "ecimal

place. Si,ce 8 is -$ea)e$ )*a, 5( $o!,"

!p /% a""i,- 1 )o )*e "i-i) 4. T*e$e+o$e(

3.6489 3.65 )o "ecimal places.


20/31

A""i)io, a," S!/)$ac)io, o+ DecimalsTo a"" o$ s!/)$ac) "ecimals( li,e !p )*e "ecimal poi,)s

a," )*e, +ollo )*e $!les +o$ a""i,- a," s!/)$ac)i,-

*ole ,!m/e$s.E'ample &i," )*e s!m o+ )*e +olloi,-.

a 7.45 G 99.2 G 23.79 / 67.305@ 25.29 G 13.84

.45

8.83.

S)ep 1

7.45

G99.20G23.79

130.44

S)ep 2

S)ep 1 Li,e !p )*e

"ecimal poi,)s.

S)ep 2 A"" )*e

,!m/e$s. T*e$e+o$e(

7.45G 99.20 H 23.79 130.44

Ca, %o! +i," )*e a,se$

+o$ !es)io, /


21/31

M!l)iplica)io, ?+ Decimals

&i," )*e p$o"!c) o+

a 3.71 6.4 / 3.56 ' 4.2 ' 6.2

a 3.71

6.4

1484

222623744

2 "ecimal places

1 "ecimal places

3 "ecimal

places

2 "ecimal places G

1 "ecimal place

/ 3.56

4.2

712 1424

14952

' 6.2

29904 89712

927024

2 "ecimal places

1 "ecimal places

1 "ecimal places

2".pG1".pG1".p

3 "ecimal poi,)s

So )*e a,se$ is 23.744So )*e a,se$ is 927.024


22/31

M!l)ipl% 85.34 /% 0.1 a," 0.001

Solution:

85.34 0.1 8. 534 8.534

85.34 0.001 0. 08534 0.08534

M!l)ipl%i,- Decimals

M!l)ipl%i,- "ecimals is !s) lie m!l)ipl%i,-

*ole ,!m/e$s.

o$ 0.001( e mo#e

)*e "ecimal poi,)o,e( )o( o$ )*$ee

places )o )*e le+) )o

+i," )*e a,se$.

e a"" J0K a+)e$ )*e "ecimal poi,)

)o s*o a,o)*e$ place #al!e. I,

)*is case )*e J0K is )*e place

*ol"e$ +o$ )*e #al!e o+ )e,)*s


23/31

6ividing 6e#i(!"s

9y 10)100)1 000) 10 000:

6ivision nswer

a 24.56 : 10

/ 24.56 : 100

c 24.56 : 1000

" 24.56 : 10000

e ca, me,)all% "i#i"e "ecimals /% 10( 100(

1 000( 10 000 /% mo#i,- )*e "ecimal poi,)

o,e( )o o$ )*$ee "ecimal places )o )*e le+).

24.56

24.56

24.56

24.56

2.456

0.2456

0 0.02456

00 0.002456


24/31

6ividing 6e#i(!"s 9y 6e#i(!"s

To divide ! de#i(!" y !nother de#i(!") the divisor shou"d

e #h!nged to ! who"e nu(er.E'ample 42.6 : 1.2 426 : 12

42612

35.5

36

66606060. .

35.5

6ivision nswer

a 0.165 : 0.1

/ 29.376 : 0.01c 5.98 : 0.32

" 93.5 : 2.5

1.65

2937.618.6875

37.4

598 : 32

935 : 25


25/31

Com/i,e" ?pe$a)io,s

1 47.56 12.45 : 2.5

2 2.62 : 1.3 @ 2.3 0.1 G 4.4

3 20.50 : 3.024 : 0.52 G 1.43.59

4 3 G 15 G 6 G 8510 100 1000 10000

Calc!la)e eac* o+ )*e +olloi,-. i#e %o!$

a,se$ co$$ec) )o 3 "ecimal places.

236.849

6.185

18.063

0.465


26/31

Sol#i,-


27/31

Sol#i,-


28/31

Sol#i,-

,ee"% s)!"e,)s i,*e$ sc*ool. I+ eac*

pe, is RM0.43 (

*o "oes s*e *as)o pa% +o$ all )*e

pe,s

Sol!)io,

88 ' 0.43

RM37.84


29/31

Sol#i,-


30/31

Sol#i,-


31/31

4 decimals form 1

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