operasi bilangan bulat

Hello Everybody,Welcome Mathematics’s Lesson. Here we use powerpoint to continue our lesson. In this lesson we will learn about integers.

In slide, we have four button. The first button is Definition, we can see what is definition of integersThe second button is Discussion, we can see what is discussion of integersThe third button is Example, we can see what is example of integersAnd last button is Exercise, we can see what is exersices of integers and we also can check which our score after we answer that exercises.

DEFINITION

DISCUSSION

EXAMPLE

EXERCISE

DEFINISION OF INTEGERS An integers pronounced In-tuh-jers

An integers are zero, all positive and negative whole numbers without a fractional or decimal component.

The set of integers using symbol ℤ. ℤ usually we can called zahlen ℤ : {......, -3, -2, -1, 0, 1, 2, 3,......}

ZERO

NEGATIVE NUMBER (-), semakin mengecil POSITIVE NUMBER (+), semakin membesar

DISCUSSION

ADDING INTEGERS

COMPARING INTEGERS

SUBTRACTING INTEGRES

EXAMPLE

ADDING INTEGERS

SUBTRACTING INTEGRES

INSTRUCTION

COMPARING INTEGERS

The integer line can be used to compared integers3 is to the right of 2Therefore.....3 is greater than 2

Written..... 3 > 2

The integer line can be used to compare integers......

Let’s look at two integers on the integer line:We can see that -3 is to the left of 1Therefore:-3 < 1

ADDING INTEGERS Untuk sembarang bilangan

bulat a dan b berlaku:1. –a + (-b) = -(a+b)2. -a + b = -(a-b) if a more than b3. -a + b = b - a if b more than

a

SIFAT-SIFAT 1. Komutatif (Pertukaran) a + b = b + a2. Asosiatif ( Pengelompokkan) (a+b)+c = a + (b+c)3. Tertutup a + b = c , dimana c adalah

bilangan bulat4. Unsur Identitas a + 0 = 0 + a = a

SUBTRACTING INTEGRESUntuk setiap bilangan bulat a dan b, maka berlaku a – b = a +(-b)

SIFAT-SIFAT 1. Tertutup a – b = c, dimana c adalah

bilangan bulat

Integers occur frequently in everyday life

Positive Integers Indicate height above sea level. The airplane is 80 meter above sea level.

Negative IntegersIndicate height below sea level. There is a100 meters below sea level.

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ADDING AND SUBTRACTING TWO INTEGERS (pendekatan model garis bilangan maju-mundur)

INTEGERS

POSITIVE MAJU

ZERO DIAM

NEGATIVE MUNDUR

OperasiADDING TERUS

SUBTRACTING BALIK ARAHBy Adi Wijaya

Hitung 2 + 3

3

Jadi, 2 + 3 = 5

2

10-1 2-2 3-3 4-4 5-5

10-1 2-2 3-3 4-4 5-5

Hitung 2 + (–3)

– 3

Jadi, 2 + (–3) = –1

2

10-1 2-2 3-3 4-4 5-5

Hitung –2 + (– 3)

– 3

Jadi, – 2 + (– 3) = – 5

-2

10-1 2-2 3-3 4-4 5-5

Hitung 2 – 3

2

3

Jadi, 2 – 3 = –1

10-1 2-2 3-3 4-4 5-53

Jadi, 2 – (– 3 ) = 5

2

Hitung 2 – (–3)

1. Hitunglah penjumlahan bilangan bulat berikut ini - 36 + ( - 58) = ...........

A

B DC 94

22

-22 -94

EXERCISE

2. Suhu sebongkah es mula-mula 5° C. Dua jam kemudian suhunya turun 7°C. Suhu es itu sekarang adalah .......

A

B D

C -12° C

-2° C 12° C

2° C

3. Hitunglah perkalian berikut ini -6 + (-10) =..........

A 16

60B

C -16

D -60

4. Tentukan hasil pembagian dari -18 + 15 = ..........

A

B D

C3

-3

33

-33

CHECK YOUR SCORE