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PERBANDINGAN (RASIO)
Christina Putriningsih, S.Pd
Apa yang akan kita pelajari?
Skala dan Proporsi
Kecepatan dan Debit
Review
Rasio atau perbandingan adalah dua bilangan atau lebih yang
saling dibandingkan satu sama lain.
Dilambangkan dengan “ : “ atau dalam bentuk pecahan
1. Apa itu perbandingan (rasio) ?
2. Apa saja syarat membandingkan ?
 Rasio banyak apel dengan banyak jeruk?
12 : 15 atau
12
15
disederhanakan 4 : 5 atau
𝟒
𝟓
 Rasio banyak apel dengan banyak keseluruhan?
12 : 27 atau
12
27
disederhanakan 4: 9 atau
𝟒
𝟗
Rasio Dua Besaran Satuan Sama
1.Jika umur Budi 15 tahun dan umur Ayah 40 tahun, maka
perbandingan:
a. umur Budi dan umur ayah adalah ….
b. Umur ayah dan umur Budi adalah …
2. Rasio panjang tali Nita dan Rani adalah 2 : 3 jika panjang tali
Nita 24 cm, maka panjang tali Rani dalah ….. cm
3. Jumlah berat badan Ani dan Nia 98 kg. Jika perbandingan
berat badan Ani dan Nia 23 : 26, berat badan Ani adalah …..
4. Umur Dedi dan Umur Ajeng berbanding 6 : 12, jika selisih
usia mereka adalah 10 tahun, usia Ajeng saat ini adalah….
Pengertian Skala
Dalam kehidupan sehari-hari skala sering digunakan untuk pembuatan peta,
pembuatan denah, merancang model bangunan dan hal lainnya yang
bersangkutan dengan skala.
Skala adalah Perbandingan antara ukuran pada gambar (model) dengan
ukuran sebenarnya
Membaca Skala
1 : 450.000
Skala 1 :450.000
Artinya
 setiap 1 cm jarak pada peta mewakili 450.000
cm jarak sebenarnya.
 setiap 1 cm jarak pada peta mewakili 4.500m
jarak sebenarnya.
 setiap 1 cm jarak pada peta mewakili 4,5 km
jarak sebenarnya.
1. Jika jarak dua titik di peta 5 cm dan jarak sebenarnya di muka bumi 5 km,
maka skala petanya adalah ….
2. Jarak kota Surabaya dan Sidoarjo pada peta adalah 4 cm. Jika peta
tersebut berskala 1 : 700.000, Berapakah jarak yang sebenarnya?
3. Jarak sesungguhnya kota Jakarta dan Tangerang adalah 7 km. Jika pada
gambar bersakala 1 : 200.000, berpakah jarak pada gambar?
Proporsi
Perusahaan makanan memberi informasi nilai gizi kepada
konsumennya seperti pada tabel berikut!
Takaran (gram) Kalori (kalori)
50 150
150 ….
… 900
Jika Fani makan 75 gram, berapakah kalori yang Fani dapatkan?
Kecepatan
Dapat dicari dengan membandingkan jarak tempuh dengan waktu
yang ditempuh.
Contoh :
Rudi memacu kendaraan selama 3 jam menempuh jarak 180 km,
maka kecepatan rudi mengendarai kendaraannya adalah….. km/jam
Jarak (km) : Waktu (jam)
180 : 3
60 : 1
Dalam 1 jam, kendaraan Rudi mampu menempuh 60 km berarti
kecepatan kendaraan adalah 60 km/jam
Jadi, apa itu kecepatan?
Kecepatan adalah jarak tempuh persatuan waktu (km/jam,
m/menit, km/menit, m/detik, km/detik)
Debit
Debit adalah banyaknya zat cair yang mengalir persatuan
waktu (liter/jam, liter/menit, liter/detik)
Contoh :
Sebuah kran mengalirkan air sebanyak 24 liter setiap 4
menit. Maka debit karan tersbeut adalah … liter/menit
volume (liter) : Waktu (menit)
24 : 4
6 : 1
Dalam 1 menit, kran air mampu mengalirkan 6 liter
air sehingga debit kran adalah 6 liter/menit
Kegiatan Selanjutnya!
1.Simak dan pahami penjelasan materi di e-learning
2.Catat hal-hal penting di buku catatan kalian
3.Kerjakan tugas 2 yang telah disediakan
4.Waktu pengerjaan sampai pukul 18.00 WIB
5.Tugas 1 masih dibuka karena beberapa siswa mengikuti
remedi dan susulan.
6.Pertemuan selanjutnya Ulangan Bab Perbandingan
(rasio)

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Perbandingan

  • 2. Apa yang akan kita pelajari? Skala dan Proporsi Kecepatan dan Debit
  • 3. Review Rasio atau perbandingan adalah dua bilangan atau lebih yang saling dibandingkan satu sama lain. Dilambangkan dengan “ : “ atau dalam bentuk pecahan 1. Apa itu perbandingan (rasio) ? 2. Apa saja syarat membandingkan ?
  • 4.  Rasio banyak apel dengan banyak jeruk? 12 : 15 atau 12 15 disederhanakan 4 : 5 atau 𝟒 𝟓  Rasio banyak apel dengan banyak keseluruhan? 12 : 27 atau 12 27 disederhanakan 4: 9 atau 𝟒 𝟗
  • 5. Rasio Dua Besaran Satuan Sama 1.Jika umur Budi 15 tahun dan umur Ayah 40 tahun, maka perbandingan: a. umur Budi dan umur ayah adalah …. b. Umur ayah dan umur Budi adalah … 2. Rasio panjang tali Nita dan Rani adalah 2 : 3 jika panjang tali Nita 24 cm, maka panjang tali Rani dalah ….. cm
  • 6. 3. Jumlah berat badan Ani dan Nia 98 kg. Jika perbandingan berat badan Ani dan Nia 23 : 26, berat badan Ani adalah ….. 4. Umur Dedi dan Umur Ajeng berbanding 6 : 12, jika selisih usia mereka adalah 10 tahun, usia Ajeng saat ini adalah….
  • 7. Pengertian Skala Dalam kehidupan sehari-hari skala sering digunakan untuk pembuatan peta, pembuatan denah, merancang model bangunan dan hal lainnya yang bersangkutan dengan skala. Skala adalah Perbandingan antara ukuran pada gambar (model) dengan ukuran sebenarnya
  • 8. Membaca Skala 1 : 450.000 Skala 1 :450.000 Artinya  setiap 1 cm jarak pada peta mewakili 450.000 cm jarak sebenarnya.  setiap 1 cm jarak pada peta mewakili 4.500m jarak sebenarnya.  setiap 1 cm jarak pada peta mewakili 4,5 km jarak sebenarnya.
  • 9. 1. Jika jarak dua titik di peta 5 cm dan jarak sebenarnya di muka bumi 5 km, maka skala petanya adalah …. 2. Jarak kota Surabaya dan Sidoarjo pada peta adalah 4 cm. Jika peta tersebut berskala 1 : 700.000, Berapakah jarak yang sebenarnya? 3. Jarak sesungguhnya kota Jakarta dan Tangerang adalah 7 km. Jika pada gambar bersakala 1 : 200.000, berpakah jarak pada gambar?
  • 10. Proporsi Perusahaan makanan memberi informasi nilai gizi kepada konsumennya seperti pada tabel berikut! Takaran (gram) Kalori (kalori) 50 150 150 …. … 900 Jika Fani makan 75 gram, berapakah kalori yang Fani dapatkan?
  • 11. Kecepatan Dapat dicari dengan membandingkan jarak tempuh dengan waktu yang ditempuh. Contoh : Rudi memacu kendaraan selama 3 jam menempuh jarak 180 km, maka kecepatan rudi mengendarai kendaraannya adalah….. km/jam Jarak (km) : Waktu (jam) 180 : 3 60 : 1 Dalam 1 jam, kendaraan Rudi mampu menempuh 60 km berarti kecepatan kendaraan adalah 60 km/jam
  • 12. Jadi, apa itu kecepatan? Kecepatan adalah jarak tempuh persatuan waktu (km/jam, m/menit, km/menit, m/detik, km/detik)
  • 13. Debit Debit adalah banyaknya zat cair yang mengalir persatuan waktu (liter/jam, liter/menit, liter/detik) Contoh : Sebuah kran mengalirkan air sebanyak 24 liter setiap 4 menit. Maka debit karan tersbeut adalah … liter/menit volume (liter) : Waktu (menit) 24 : 4 6 : 1 Dalam 1 menit, kran air mampu mengalirkan 6 liter air sehingga debit kran adalah 6 liter/menit
  • 14.
  • 15. Kegiatan Selanjutnya! 1.Simak dan pahami penjelasan materi di e-learning 2.Catat hal-hal penting di buku catatan kalian 3.Kerjakan tugas 2 yang telah disediakan 4.Waktu pengerjaan sampai pukul 18.00 WIB 5.Tugas 1 masih dibuka karena beberapa siswa mengikuti remedi dan susulan. 6.Pertemuan selanjutnya Ulangan Bab Perbandingan (rasio)