Whole Numbers.ppt

8/19/2019 Whole Numbers.ppt

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Chapter 1Chapter 1

Whole NumbersWhole Numbers

1


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WHOLEWHOLE

NUMBERSNUMBERSConcept of whole

numbers


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MATHEMATICS FORM 1MATHEMATICS FORM 1

WHOLE NUMBERSWHOLE NUMBERS

COUNTING

PLACE VALUEPLACE VALUE

WRITING &WRITING &READINGREADING


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CONCEPT OF

WHOLE NUMBER WRITIN AN!REA!IN WHOLENUMBERS

COUNTIN WHOLENUMBERS

I!ENTIF" PLACE#ALUE


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Whole $umbers are use%Whole $umbers are use%

&$ 'urre$'()&$ 'urre$'()


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WHOLE NUMBERSWHOLE NUMBERSWhole $umbers are a

set o* 'ou$t&$+ $umbersthat starts ,&th -. 1. /.

0. . 2. 3)The smallest ,hole$umber &s 4ero 5-6


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WRITIN AN! REA!IN WHOLEWRITIN AN! REA!IN WHOLE

NUMBERSNUMBERS

ONE SIXTY

FOURTY-

THREE

ONE

HUNDREDS

TWENTY-ONE

FOUR THOUSAND

AND TEN


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COUNTIN WHOLE NUMBERSCOUNTIN WHOLE NUMBERSCou$t o$ &$

te$s *rom 0-to 1--)

Cou$t ba'7 &$hu$%re%s*rom 12-- to8--)

0-. -. 2-. 9-.8-. :-. ;-.

1--)

12--. 1--.10--. 1/--.11--. 1---.

;--. :--. 8--)


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PLACE #ALUEPLACE #ALUEThe


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What &s the $umberWhat &s the $umber

represe$te% b( the %&a+ram=represe$te% b( the %&a+ram=

100100

HUNDREDSHUNDREDS3030

TENSTENS66

UNITSUNITS


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A't& What &s the pla'e


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A$s,er>A$s,er>THOUSANDSTHOUSANDS HUNDREDSHUNDREDS TENSTENS UNITSUNITS

11 33 88 99


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A't& What &s the pla'e


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A$s,er>A$s,er>

THOUSANDSTHOUSANDS HUNDREDSHUNDREDS TENSTENS UNITSUNITS

33 22 99 11

Exercises


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S"STEM OF WRITINS"STEM OF WRITIN

WHOLE NUMBERSWHOLE NUMBERS

MillionMillion Thou!n"Thou!n" Hun"#$"Hun"#$"

Hun"#$"Hun"#$"MillionMillion

T$nT$nMillionMillion

Uni%Uni% Hun"#$"Hun"#$"Thou!n"Thou!n"

T$nT$nThou!n"Thou!n"

Uni%Uni% Hun"#$"Hun"#$" T$nT$n Uni%Uni%


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THANK TOUTHANK TOU


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U$%ersta$%&$+U$%ersta$%&$+

Whole NumbersWhole Numbers

Lesson 1-1


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#o'abular(#o'abular(

%!n"!#" o#' ( ! nu')$# i *#i%%$n uin+ "i+i% !n"

,l!-$ .!lu$ /%h$ #$+ul!# *!0 %o *#i%$ nu')$#

$,!n"$" o#' ( ! nu')$# i *#i%%$n ! ! u' uin+

%h$ ,l!-$ !n" .!lu$ o $!-h "i+i%


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Pla'e #alue ChartPla'e #alue Chart


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Ho, To Rea% a Lar+eHo, To Rea% a Lar+e

NumberNumber

•Numbers are grouped insets of three (each set iscalled a period!

•Onl" read three numbersat a time!

•Sa" the name of theperiod that the numbers

are in!

•Sa" #and$ for the


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E?ampleE?ample

45678589Millios !erio" T#o$s%"s !erio" Oes !erio"

ou# 'illion5 i hun"#$" i%0:$i+h% %hou!n"5

$i+h%0:nin$


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Compar&$+Compar&$+

NumbersNumbers

• Line up the numbers'erticall" (up and donb" the ones place (or the

decimal% if there is one!

• Start at the left andcompare the digits!

• Mo'e toards the rightuntil "ou )nd a di*erence!


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@ust a Rem&$%er3@ust a Rem&$%er3

+ means #lessthan!$

, means #greater

than!$- means #e.ual

to!$


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E?ampleE?ample

&'(31) &'(3)1

&'(31) &'(3)1

1 is less *#%)

+


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E?ample / Put the $umbers &$E?ample / Put the $umbers &$

or%er *rom least to +reatest)or%er *rom least to +reatest)

3)1, 3&', 3'&, ), 1(013, 31), 33)

3)1

3&'3'&

)

1013

31)

33)

l%r.es*

s/%lles*

)1(013

31) 3)1 33)3&' 3'&+ + +

+ +


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Rou$%&$+ Whole NumbersRou$%&$+ Whole Numbers

Rounding to a spe'&*&' pla'e:Identify the place

(nearest hundred!" for e#ample$Loo% at the number immediately to t

right&Is it ' or higher Round up&Is it ) or lo*er It stays the same&+ll digits to the right of the specified

become ,eros&


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Tr( these e?amplesTr( these e?amples

Round to the nearest hundred:

)"8' 1."'/0 /3)"'0 8")8".08

+nd the ans*ers are

.;-- 1-.2-- /0.9--:.9:.1--


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e( Termse( Terms

A%%e$%s: numbers being added

Sum or total: The ans*er or result of addition&

Commutat&


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A%%&t&o$ A%%&t&o$

Subtra't&o$Subtra't&o$


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A%%&t&o$A%%&t&o$+ddition occurs *hen you oint*o numbers together& Thesenumbers are called addends&

/ 0 1 - 2

3ddends


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"ou a%% the t,o a%%e$%s"ou a%% the t,o a%%e$%s

to+ether to +et a sum)to+ether to +et a sum)

/ 0 1 - 4

Sum


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Let&s add large

numbers!51 and 6/ Line up

numbers

51

0 6/

Line upthe digitson top of

eachother

starting

L t& dd l


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Let&s add large


numbers

51

0 6/

4

Line up the digits ontop of each otherstarting ith the

number on the right(the rightmost digit%hich is called the

#ones$ place!

7hen add the numbersthat are on top of eachother li8e "ou normall"

ould add numbers!


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Let&s add large


numbers

51

0 6/

4

Line up the digitson top of each

other starting iththe number on the

right (the rightmostdigit% hich is

called the #ones$place!

7hen add thenumbers that are

on top of eachother li8e "ou

L t& dd l


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Let&s add large


numbers

51

0 6/

/4

Line up the digitson top of each

other starting ith

the number on theright (the rightmostdigit% hich is

called the #ones$place!

3nd do the samefor the other

column of numbers!


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3dding larger numbers!!!

9ou ma" ha'e to #carr"$numbers to the ne:t columnof numbers being added if

the )rst column is o'er ;!

1 6 5

0 / < ;

3dding larger numbers


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the )rst column is o'er ;! 1 6 5

0 / < ;

=

Since;05-5=%

e illrite thelast digit

3dding larger numbers


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the )rst column is o'er ;! 1 6 5

0 / < ;

=

Since;05-5=%

e illrite thelast digit

5


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1 6 5

0 / < ;

=

No eill add

the 6 and


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1 6 5

0 /


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1 6 5

0 / < ;

; =

No eill add

the 1 and/ that inthe far

5


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1 6 5

0 / < ;

4 ; =

No eill add

the 1 and/ that in

the far

5


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With some practice% "ou ill

be able to successfull" addpositi'e hole numbers?

7his ill be useful in all

aspects of this class 3N@ in"our e'er"da" life!

Let&s loo8 at a realAorlde:ample!!!


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9ou graduated from slamicCollege????

3s some of "ourgraduation gifts% "ou

recei'e giftsfrom famil" and friends iththe 'alues of


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9ou ill simpl" need to 3@@ all ofthose numbers up to get the total!

< =

5 1 ;

F

0 1 6


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< =

5 1 ;

F

0 1 6 =

Geep in mind to line up

e places% add each column%and carr" if the numberhas more than one digit?

=0;0F06-1=

1

G i i d t li


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< =

5 1 ;

F

0 1 6

1 F =

in mind to line upes% add each column%arr" if the number

ore than one digit?505-1

1

5

1


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< =

5 1 ;

F 0 1 6

1 F

=

9ou got D1F=in gifts?

Congratulations???

5

3ddi i l U l i


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3dding in columns A Uses no e.ual sign

<0<

5=

F;064F

514<

SimpleComple:

3nser is called #s

7able of @igits


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What &s Subtra't&o$=What &s Subtra't&o$=

Subtracting holenumbers is the

in'erse operation ofadding holenumbers!


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Subtra't&o$Subtra't&o$4ubtraction occurs *hen youta%e one number a*ay from

another number&

< A 1 - 2


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Whe$ (ou subtra't theWhe$ (ou subtra't the$umbers. (ou e$% up ,&th$umbers. (ou e$% up ,&th

the %&**ere$'e)the %&**ere$'e)

< A 1 - 6

@i*erence


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Subtractions ith one

digit are usuall" fairl"eas"!

7hings start gettingcomplicated hen "ouha'e more than one

digit and "ou cannotremo'e the number atthe bottom from thenumber on top such as


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E?ampleE?ample

Since "oucould notremo'e F


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9ou can also rite the problem ithout thetens and the ones to ma8e it loo8 simpler asillustrated belo


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A$other e?ampleA$other e?ample

3la"sstart iththe ones!

2/

D 829


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Step 1Step 1

Borro a 5= from 1tens

7he problem becomes


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Step /Step /

Borro 5 hundred from /hundreds! 5 hundred - 5=tens! 7hen add 5= tens to 5ten to ma8e it 55 tens


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Step 0Step 0

Borro 5 thousand from < thousands! 5thousand - 5= hundreds! 7hen add 5=hundreds to 6 hundreds to ma8e it 56hundreds

7hen% Iust subtract no since allnumbers at the bottom are smaller thanthe number on top


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Lets Tr( SomeGLets Tr( SomeG

4,987- 2,158

3,230

- 320

5 151

;1F1% 5%;5=


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$'lus&o$$'lus&o$5o* you should be able toadd and subtract singledigit numbers by usingpictures to sol6e theproblems gi6en to you&7ou should also understand*hat an addend " sum" and

difference is&


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63

M$l*i!lic%*io• I Ari*#/e*ic - I"ic%*e" 2*i/es si. 4x5

7e%r 2Ti/es T%le

6 x 8 9 &8

I Ari*#/e*ic


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• :o/!lex M$l*i!lic%*io - :%rr res$l* *o ex* col$/

6&

:o/!lex M$l*i!lic%*io

Problem: 48 x 23

48

X 234

; ) 48

X 23144

; ) 48

X 23144

; 1

6

48

X 23144

; 1

9601104

Same process is use !"e# mul$ipl%i#&

$"ree or 'our-i&i$ problems(


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6'

MU7TI


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66

MU7TI


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6=

Fi"i. o$* #o? /% *i/es % "i@i"er 2.oes i*o %

?#ole $/er

• Fi"i. o$* #o? /% *i/es % "i@i"er 2.oes i*o %

?#ole $/er

Di@isio

1' ' 9 3 1' 3 9 '


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68

S#o? $si. % s*r%i.#* %r 2 2 or 2 2 si.• S#o? $si. % s*r%i.#* %r 2 2 or 2 2 si.

48 50401 &8 2.oes i*o '0 oe *i/e

48 1 *i/es &8 9 &8

2 '0 /i$s &8 9 ) ri. "o? *#e &4

0

&8 .oes i*o )& Bero *i/es0

Cri. "o? o*#er 0

&8 .oes i*o )&0( i@e *i/es

5

240

0

' *i/es &8 9 )&0

)&0 /i$s )&0 9 0 re/%i"er So( '0&0 "i@i"e" &8 9 10' ?o re/%i"er

Or i* c% e s*%*e"

&8 2.oes i*o '0&0( 210' *i/es


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6

DIGISION


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=0

DIGISION *5

6 %

= %

8 %

= 000

61 101

6= r 1 8'8 r 13

% 1) r '' )) r 3)

)1 1&= 3 )=000

3) 1') 88 8888

8= '8&8 1' 1)883

& 1)883 3') 80=3


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COMBINED OPERATIONS

0 J

xK


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Problem: Evaluate the following arithmetic expression:

3 + 4 x 2

Solution: Student 1 Student 2

3 + 4 x 2 3 + 4 x 2

= 7 x 2 = 3 + 8

= 14 = 11


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To add and to ubtra!t:

"e do t#e o$eration

%rom le%t to rit


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To multi$l' and to di(ide:

do t#e o$eration %rom le%tto rit


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To $er%orm !om$utation in(ol(in&!ombined o$eration)

a*%irt) multi$l' or di(ide %romle%t to ritb*t#en) add or ubtra!t %rom le%t

to rit


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To $er%orm !om$utation in(ol(in&

!ombined o$eration t#at in!lude bra!+et , *)

"or+ t#at bra!+et %irt

t#en) multi$l' or di(ide %rom le%t to rit

latl') add or ubtra!t %rom le%t to rit


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SUMM3R9

COMBINED OPERATIONS

o $er%orm !om$utation in(ol(in& !ombined o$eration:

-.or+ t#e bra!+et , * %irt--T#en) multi$l' or di(ide--0inall' add or ubtra!t %rom le%t to rit-

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Whole Numbers.ppt

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