@mm cd w#t]y pr]hrn@y\q} ym| g#tuvk\ a#w]v[v @h`w\ phw aakyt apv amwn\n

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@mm @mm CD CD w#t]y pr]hrN@y\ w#t]y pr]hrN@y\ q} ym| g#tUvk\ a#w]v[v q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv @h`w\ phw aAkyt apv amwn\n amwn\n . . r`j]w jyv}r r`j]w jyv}r (v]@X\S (v]@X\S gN]w p[h[N[) gN]w p[h[N[) 0718005616 0718005616 @h`\ @h`\ 0343341702 0343341702 Rajitha Jayaweera Rajitha Jayaweera (tel:0718005616 or 0343341702) (tel:0718005616 or 0343341702) [email protected] [email protected] Exit Next

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@mm CD w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n. r`j ]w jyv }r (v]@X\S gN ]w p[h[N[) 0718005616 @h`\ 0343341702 Rajitha Jayaweera (tel:0718005616 or 0343341702) [email protected]. Exit. Next. INTEGER. n]K]l. gN ] wy - PowerPoint PPT Presentation

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Page 1: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

@mm @mm CDCD w#t]y pr]hrN@y\ w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv @h`w\ phw aAkyt apv amwn\namwn\n..

r`j]w jyv}rr`j]w jyv}r (v]@X\S gN]w (v]@X\S gN]w p[h[N[)p[h[N[)

07180056160718005616 @h`\ @h`\ 03433417020343341702

Rajitha JayaweeraRajitha Jayaweera(tel:0718005616 or 0343341702)(tel:0718005616 or 0343341702)

[email protected]@gmail.comExit Next

Page 2: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

INTEGERINTEGER

gN]wy gN]wy r`j]w jyv}rr`j]w jyv}r (v]@X\S gN]w (v]@X\S gN]w

p[h[N[)p[h[N[)

07180056160718005616 @h`\ @h`\ 03433417020343341702

Exit Next

Page 3: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

r`j]w jyv}rr`j]w jyv}r•XY} Er~mk}r~w]

p]r]@vn

•@p`l\vw\w pAsl

•@k`l\l[p]t]y

•@k`LB 03

•0718005616 @h`\ 03433417020343341702

Exit Next

Page 4: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

r`j]w jyv}rr`j]w jyv}r•l[m|b]N]

– @kt]v]\\l vw\w • n`@g`d

[email protected]

0718005616 @h`\ 0343341702

Exit Next

Page 5: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l n]K]l IntegerInteger

n]K]l h#Q]n\v}m Introduction of integers

n]K]l ekw; k]r}m Addition of integers

n]K]l ad[ k]r}m Subtraction of integers

n]K]l g;N k]r}m Multiplication of integers

n]K]l @bq}m Division of integers

Exit

Page 6: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l h#Q]n\v}m n]K]l h#Q]n\v}m Introduction of integersIntroduction of integers

En @h`\ M^N s]yU p{r~N En @h`\ M^N s]yU p{r~N sAK&` n]K]l yn[@vn\ hÀ[n\sAK&` n]K]l yn[@vn\ hÀ[n\vy] vy]

uq` ......-3,-2,-1,0,1,2,3,......uq` ......-3,-2,-1,0,1,2,3,......

pYE`n@mn[v

Page 7: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l ekw; n]K]l ekw; Addition of integers Addition of integers

(1) sm`n lk;N sh]w n]K]l ekw; k]r}m(2) asm`n lk;N sh]w n]K]l ekw; k]r}m

pYE`n@mn[v

Page 8: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(1) sm`n lk;N sh]w (1) sm`n lk;N sh]w n]K]l ekw; k]r}mn]K]l ekw; k]r}m

sm`n lk;N sh]w n]K]l sm`n lk;N sh]w n]K]l ekw; k]r}@m|q} ekw; k]r}@m|q} agyn\ ekw; kr em agyn\ ekw; kr em lk;Nm @y`qn\n.lk;Nm @y`qn\n.

pYE`n@mn[v g#tU

Page 9: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

sm`n lk;N sh]w n]K]l ekw; sm`n lk;N sh]w n]K]l ekw; k]r}mk]r}m

(1) (+2) + (+3)(1) (+2) + (+3)

(2) (-5) + (-3)(2) (-5) + (-3)

(3) (-4) + (-8)(3) (-4) + (-8)

(4) (-5) + (-2) + (-2) (4) (-5) + (-2) + (-2)

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

pYE`n@mn[v

Page 10: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(1) (+2) + (+3)(1) (+2) + (+3) = = (+5) (+5)

pYE`n@mn[v

@h\w;v

Page 11: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) (-5) + (-3) =(-8) (2) (-5) + (-3) =(-8)

@h\w;v

pYE`n@mn[v

Page 12: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(3) (-4) + (-8) =(-12)

@h\w;v

pYE`n@mn[v

Page 13: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(4) (-5) + (-2) + (-2)(4) (-5) + (-2) + (-2)

=(-7) + (-2)=(-7) + (-2)

=(-9)=(-9)@h\w;v

pYE`n@mn[v

Page 14: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) asm`n lk;N sh]w (2) asm`n lk;N sh]w n]K]l ekw; k]r}mn]K]l ekw; k]r}masm`n lk;N sh]w n]K]l asm`n lk;N sh]w n]K]l ekw; k]r}@m|q} v]X`l ekw; k]r}@m|q} v]X`l ag@yn\ k;d` agy ad[kr ag@yn\ k;d` agy ad[kr v]X`l agy iq]r]@y\ a#w] v]X`l agy iq]r]@y\ a#w] lk;N @y`qn\n.lk;N @y`qn\n.pYE`n@mn[v

g#tU

Page 15: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

asm`n lk;N sh]w n]K]l ekw; k]r}m

(1) (-5) + (+2)

(2) (+8) + (-3)

(3) (-7) + (+4)

p]L]w;r

p]L]w;r

p]L]w;r

pYE`n@mn[v

Page 16: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(1)(1)(-5) + (+2) (-5) + (+2)

== (-3)(-3)@h\w;v

pYE`n@mn[v

Page 17: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) (+8) + (-3)(2) (+8) + (-3)

=(+5) =(+5) @h\w;v

pYE`n@mn[v

Page 18: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(3) (-7) + (+4)=(-3) @h\w;v

pYE`n@mn[v

Page 19: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l ad[ k]r}m Subtraction of integers

• (1) @mh]q} pLm[v ad[ k]r}m ekw;vk\ @ls l]yn\n

• (2) enm| ad[ k]r}m @vn[vt+ lk;n @y`q` It p]t[ps a#w] n]K]l@y\ lk;N m`r# krn\n.

• (3) q#n\ n]K]l ekw; krn a`k`ryt n]K]l vl lk;n sm`nq asm`nq#y] bln\n.

• (4) lk;N[ sm`n nm| agyn\ ekw; kr em lk;Nm @y`qn\n

• (5) lk;N[ asm`n nm| v]X`l ag@yn\ k;d` agy ad[kr v]X`l agy iq]r]@y\ a#w] lk;N @y`qn\n.

uq`

pYE`n@mn[v ax&`s

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phw n]K]l ekw;vk\ @ls l]v}m

• uq` 2 - (-3)

•= 2 + (+3)

pYE`n@mn[v g#tU

Page 21: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

phw n]K]l ekw;vk\ @ls l]yn\n.

(1) (-3) - (+2)

(2) (+4) - (-1)

(3) (+5) - (+3)

p]L]w;r

p]L]w;r

p]L]w;r

pYE`n@mn[v

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•(1) (-3) - (+2)(1) (-3) - (+2)

•= (-3) + (-2) = (-3) + (-2)

pYE`n@mn[v

Page 23: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) (+4) - (-1)(2) (+4) - (-1)

= (+4) + (+1)= (+4) + (+1)

pYE`n@mn[v

Page 24: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(3) (+5) - (+3) = (+5) + (-3)

pYE`n@mn[v

Page 25: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l g;N k]r}mn]K]l g;N k]r}m Multiplication of integersMultiplication of integers

n]K]l g;N k]r}@m|q} pLm[v n]K]l g;N k]r}@m|q} pLm[v agyn\ g;Nkr phw pr]q] lk;N[q agyn\ g;Nkr phw pr]q] lk;N[q g;Nkr l]yn\n.g;Nkr l]yn\n.

(+) x (+) = (+)(+) x (+) = (+)(-) x (-) = (+)(-) x (-) = (+)(+) x (-) = (-)(+) x (-) = (-)(-) x (+) = (-)(-) x (+) = (-)

pYE`n@mn[v

ax&`s

Page 26: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

phw n]K]l g;N krn\n.phw n]K]l g;N krn\n.(1) (+2) (1) (+2) xx (-5) (-5)

(2) (-3) (2) (-3) xx (-5) (-5)

(3) (-4) (3) (-4) xx (+6) (+6)

(4) (-3) (4) (-3) xx (-8) (-8) xx 0 0

(5) 2 (5) 2 xx (-4) (-4) xx 3 3

(6) (-5) (6) (-5) xx 3 3 xx (-1) (-1)

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

pYE`n@mn[v

Page 27: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

•(1) (+2) x (-5)= (-10)

pYE`n@mn[v

Page 28: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) (-3) (2) (-3) xx (-5) (-5)

= (+15) = (+15)

pYE`n@mn[v

Page 29: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(3) (-4) (3) (-4) xx (+6) (+6)

= (-24)= (-24)

pYE`n@mn[v

Page 30: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(4) (-3) (4) (-3) xx (-8) (-8) xx 0 0

=24 =24 xx 0 0

= 0= 0

pYE`n@mn[v

Page 31: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

•(5) 2 x (-4) x 3•=(-8) x 3•=(-24)

pYE`n@mn[v

Page 32: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(6) (-5) (6) (-5) xx 3 3 xx (-1) (-1)

= (-15) = (-15) xx (-1) (-1)

= 15= 15

pYE`n@mn[v

Page 33: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

n]K]l @bq}m n]K]l @bq}m Division of integersDivision of integers

n]K]l @bq}@m|q}} pLm[v n]K]l @bq}@m|q}} pLm[v agyn\ @bq` phw pr]q] agyn\ @bq` phw pr]q] lk;N[q @bq` l]yn\n.lk;N[q @bq` l]yn\n.

(+) (+) ÷÷ (+) = (+) (+) = (+)

(-) (-) ÷÷ (-) = (+) (-) = (+)

(+) (+) ÷÷ (-) = (-) (-) = (-)

(-) (-) ÷ ÷ (+) = (-)(+) = (-)pYE`n@mn[v

ax&`s

Page 34: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

phw n]K]l @bqn\n.phw n]K]l @bqn\n.

(1) (1) (-12) (-12) ÷÷ 2 2

(2) (2) (-18) (-18) ÷÷ (-3) (-3)

(3) (3) (+21) (+21) ÷÷ 7 7

(4) (4) (+48) (+48) ÷÷ (-6) (-6)

(5) (5) (+25) (+25) ÷÷ (-5) (-5)

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

p]L]w;r

pYE`n@mn[v

Page 35: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(1) (-12) ÷ 2

= (-6) @h\w;v

pYE`n@mn[v

Page 36: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(2) (-18) ÷ (-3) = (+6)

@h\w;v

pYE`n@mn[v

Page 37: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(3) (+21) ÷ 7

=(+3) @h\w;v

pYE`n@mn[v

Page 38: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(4) (+48) ÷ (-6)

=(-8) @h\w;v

pYE`n@mn[v

Page 39: @mm  CD  w#t]y pr]hrN@y\q} ym| g#tUvk\ a#w]v[v @h`w\ phw aAkyt apv amwn\n

(5) (+25) ÷ (-5)

=(-5) @h\w;v

pYE`n@mn[v