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BAB 1
NOMBOR
NISBAH
JOM BELAJAR
MATEMATIK!
RUMUSAN BAB 1
1.1
Integer
1.4
Perpuluhan positif dan
perpuluhan negatif
1.2
Operasi Asas Aritmetik
yang melibatkan
integer
1.5
Nombor Nisbah
1.3
Pecahan Positif dan
Pecahan Negatif
1.1
1.1.1 Mengenal nombor positif dan
nombor negatif berdasarkan
situasi sebenar.
1.1.2 Mengenal dan memerihalkan
integer
1.1
1.1.3 Mewakilkan integer pada garis nombor
dan membuat perkaitan antara nilai
integer dengan kedudukan integer
tersebut berbanding integer lain pada
garis nombor.
1.1.4 Membanding dan menyusun
integer mengikut tertib.
● Nombor yang ditulis
dengan tanda ‘+’ atau
tanpa tanda, misalnya
+2, +45 atau 2, 45.
● Nombor yang nilainya
lebih besar daripada
0.
Nombor Positif
Suhu di gurun ialah
45°C dan ditulis
sebagai +45 atau 45.
● Nombor yang ditulis
dengan tanda ‘-’
misalnya -1,-10.
● Nombor yang nilainya
lebih kecil daripada
0.
Nombor Negatif
Suhu glasier ialah
10°C di bawah 0°C dan
ditulis sebagai –10.
Contoh 1: Kereta A bergerak 40 m ke kanan
manakala kereta B bergerak 50 m ke
kiri. Wakilkan pergerakan kereta A
dan kereta B dengan nombor positif
atau nombor negatif.
Kereta A bergerak 40 m ke
kanan diwakili dengan 40
atau + 40; kereta B
bergerak 50 m ke kiri
diwakili dengan –50.
Apakah integer?
Kumpulan nombor bulat
positif dan nombor
bulat negatif termasuk
kosong.
Contoh 2:
Bukan integer
Integer
Tentukan sama ada setiap
nombor yang berikut ialah
integer atau bukan.
15, 23, -76, 0, 6, 301, -239
Bagaimanakah mewakilkan integer dalam garis
nombor?
Lengkapkan garis nombor dengan nombor
berikut.
–30, 6, –6, –36
Contoh 3:
Tentukan dan tandakan kedudukan integer
yang diberi itu pada suatu garis nombor.
–5, 5, 1 dan –3
Contoh 4:
Jawapan:
Membanding
dan menyusun
integer.
Contoh 5:
(a) Banding dan susun –3,
4, 2, –5, 6, 0, –1 mengikut
tertib menaik.
(b) Banding dan susun –4, 3,
2, 5, –2, –1, –5 mengikut
tertib menurun.
1.2
1.2.1 Menambah dan menolak integer
menggunakan garis nombor atau kaedah lain
yang sesuai. Seterusnya membuat generalisasi
tentang penambahan dan penolakan integer.
1.2.2 Mendarab dan membahagi integer
menggunakan pelbagai kaedah. Seterusnya
membuat generalisasi tentang pendaraban
dan pembahagian integer.
1.2
1.2.3 Membuat pengiraan yang melibatkan
gabungan operasi asas aritmetik bagi
integer mengikut tertib operasi.
1.2.4
Menghuraikan hukum operasi aritmetik
iaitu Hukum Identiti, Hukum Kalis Tukar
Tertib, Hukum Kalis Sekutuan dan Hukum
Kalis Agihan.
1.2
1.2.5 Membuat pengiraan yang efisien dengan
menggunakan hukum operasi asas
aritmetik.
1.2.6 Menyelesaikan masalah yang melibatkan
integer.
Menambah dan
menolak integer
Contoh 6:
Selesaikan
(a) 8 + (+3)
(c) 2 – (+4)
(b) 5 + (–2)
(d) –1 – (–4)
Penyelesaian:
Mendarab dan
membahagi integer
OPERASI
TANDA HASIL
DARAB
(+) × (+) +
(+) × (–) –
(–) × (+) –
(–) × (–) +
OPERASI
TANDA HASIL
BAHAGI
(+) ÷ (+) +
(+) ÷ (–) –
(–) ÷ (+) –
(–) ÷ (–) +
Contoh 7:
Nilaikan setiap yang
berikut.
(a) –5 × (–4)
(b) –6 × 4
(c) 6 ÷ (–2)
(d) –12 ÷ (–2)
Penyelesaian:
Membuat pengiraan yang melibatkan
gabungan operasi bagi integer.
Apabila melakukan penghitungan yang
melibatkan gabungan operasi ke atas integer,
ikut tertib operasi yang berikut.
Contoh 8:
Selesaikan setiap yang
berikut.
Did You
Know This?
Factor 1
35%
Mercury is the
smallest one
65%
Jupiter is the
biggest one
Factor 2 Factor 3
31,500
Big numbers catch
your audience’s
attention
Problem
Neptune is the
fourth-largest
planet in the
Solar System
Solution
Jupiter is a gas
giant and the
biggest planet in
the Solar System
Insert Your
Multimedia
Content Here
Despite being red,
Mars is actually a
cold place full of
iron oxide dust
Overview
Diagram
30%
Mercury is
smallest one
Venus is the
second one
Mars is a
cold place
Saturn has
rings
Locations
Mars is a
cold place
Saturn has
rings
Review of Concepts
Mercury
Mercury is the
Smallest planet
Venus
Venus has a
beautiful name
Mars
Mars is actually
a cold place
Jupiter
It’s a giant and
the biggest one
Saturn
Saturn is the
ringed one
Neptune
Neptune is the
farthest planet
Exercise
Despite being red,
Mars is actually a
cold place
Thanks!
Do you have any
questions?
youremail@freepik.com
+91 620 421 838
yourcompany.com
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NOTA BAB 1- NOMBOR NISBAH.pptx

  • 2. RUMUSAN BAB 1 1.1 Integer 1.4 Perpuluhan positif dan perpuluhan negatif 1.2 Operasi Asas Aritmetik yang melibatkan integer 1.5 Nombor Nisbah 1.3 Pecahan Positif dan Pecahan Negatif
  • 3. 1.1 1.1.1 Mengenal nombor positif dan nombor negatif berdasarkan situasi sebenar. 1.1.2 Mengenal dan memerihalkan integer
  • 4. 1.1 1.1.3 Mewakilkan integer pada garis nombor dan membuat perkaitan antara nilai integer dengan kedudukan integer tersebut berbanding integer lain pada garis nombor. 1.1.4 Membanding dan menyusun integer mengikut tertib.
  • 5. ● Nombor yang ditulis dengan tanda ‘+’ atau tanpa tanda, misalnya +2, +45 atau 2, 45. ● Nombor yang nilainya lebih besar daripada 0. Nombor Positif Suhu di gurun ialah 45°C dan ditulis sebagai +45 atau 45.
  • 6. ● Nombor yang ditulis dengan tanda ‘-’ misalnya -1,-10. ● Nombor yang nilainya lebih kecil daripada 0. Nombor Negatif Suhu glasier ialah 10°C di bawah 0°C dan ditulis sebagai –10.
  • 7. Contoh 1: Kereta A bergerak 40 m ke kanan manakala kereta B bergerak 50 m ke kiri. Wakilkan pergerakan kereta A dan kereta B dengan nombor positif atau nombor negatif. Kereta A bergerak 40 m ke kanan diwakili dengan 40 atau + 40; kereta B bergerak 50 m ke kiri diwakili dengan –50.
  • 8. Apakah integer? Kumpulan nombor bulat positif dan nombor bulat negatif termasuk kosong.
  • 9. Contoh 2: Bukan integer Integer Tentukan sama ada setiap nombor yang berikut ialah integer atau bukan. 15, 23, -76, 0, 6, 301, -239
  • 10. Bagaimanakah mewakilkan integer dalam garis nombor?
  • 11. Lengkapkan garis nombor dengan nombor berikut. –30, 6, –6, –36 Contoh 3:
  • 12. Tentukan dan tandakan kedudukan integer yang diberi itu pada suatu garis nombor. –5, 5, 1 dan –3 Contoh 4: Jawapan:
  • 13. Membanding dan menyusun integer. Contoh 5: (a) Banding dan susun –3, 4, 2, –5, 6, 0, –1 mengikut tertib menaik. (b) Banding dan susun –4, 3, 2, 5, –2, –1, –5 mengikut tertib menurun.
  • 14. 1.2 1.2.1 Menambah dan menolak integer menggunakan garis nombor atau kaedah lain yang sesuai. Seterusnya membuat generalisasi tentang penambahan dan penolakan integer. 1.2.2 Mendarab dan membahagi integer menggunakan pelbagai kaedah. Seterusnya membuat generalisasi tentang pendaraban dan pembahagian integer.
  • 15. 1.2 1.2.3 Membuat pengiraan yang melibatkan gabungan operasi asas aritmetik bagi integer mengikut tertib operasi. 1.2.4 Menghuraikan hukum operasi aritmetik iaitu Hukum Identiti, Hukum Kalis Tukar Tertib, Hukum Kalis Sekutuan dan Hukum Kalis Agihan.
  • 16. 1.2 1.2.5 Membuat pengiraan yang efisien dengan menggunakan hukum operasi asas aritmetik. 1.2.6 Menyelesaikan masalah yang melibatkan integer.
  • 17. Menambah dan menolak integer Contoh 6: Selesaikan (a) 8 + (+3) (c) 2 – (+4) (b) 5 + (–2) (d) –1 – (–4) Penyelesaian:
  • 18. Mendarab dan membahagi integer OPERASI TANDA HASIL DARAB (+) × (+) + (+) × (–) – (–) × (+) – (–) × (–) + OPERASI TANDA HASIL BAHAGI (+) ÷ (+) + (+) ÷ (–) – (–) ÷ (+) – (–) ÷ (–) +
  • 19. Contoh 7: Nilaikan setiap yang berikut. (a) –5 × (–4) (b) –6 × 4 (c) 6 ÷ (–2) (d) –12 ÷ (–2) Penyelesaian:
  • 20. Membuat pengiraan yang melibatkan gabungan operasi bagi integer. Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
  • 22. Did You Know This? Factor 1 35% Mercury is the smallest one 65% Jupiter is the biggest one Factor 2 Factor 3
  • 23. 31,500 Big numbers catch your audience’s attention
  • 24. Problem Neptune is the fourth-largest planet in the Solar System Solution Jupiter is a gas giant and the biggest planet in the Solar System
  • 25. Insert Your Multimedia Content Here Despite being red, Mars is actually a cold place full of iron oxide dust
  • 26. Overview Diagram 30% Mercury is smallest one Venus is the second one Mars is a cold place Saturn has rings
  • 27. Locations Mars is a cold place Saturn has rings
  • 28.
  • 29. Review of Concepts Mercury Mercury is the Smallest planet Venus Venus has a beautiful name Mars Mars is actually a cold place Jupiter It’s a giant and the biggest one Saturn Saturn is the ringed one Neptune Neptune is the farthest planet
  • 30. Exercise Despite being red, Mars is actually a cold place
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