MAT-260730-30

 

Soal:  30 + 15 × 2 : 10 = ?

Langkah 1. Kenali tanda operasi

+ = Penjumlahan

× = Perkalian

: = Pembagian

Langkah 2. Ingat urutan operasi hitung

Kerjakan operasi dengan urutan berikut:

1. Kurung ( )

2. Pangkat

3. Kali (×) dan Bagi (:), dikerjakan dari kiri ke kanan

4. Tambah (+) dan Kurang (−)

Karena perkalian dan pembagian memiliki tingkat yang sama, maka dikerjakan dari kiri ke kanan.

Langkah 3. Hitung perkalian terlebih dahulu

15 × 2 = 30

Sekarang gantikan hasilnya ke soal.

Dari: 30 + 15 × 2 : 10

menjadi: 30 + 30 : 10

Langkah 4. Hitung pembagian

30 : 10 = 3

Sekarang soal menjadi: 30 + 3

Langkah 5. Hitung penjumlahan

30 + 3 = 33

Jawaban Akhir

30 + 15 × 2 : 10 = 33

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Bentuk Penyelesaian Lengkap

30 + 15 × 2 : 10

= 30 + 30 : 10

= 30 + 3

= 33

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Mengapa bukan 9?

Jika seseorang mengerjakan seperti ini:

2 : 10 = 0,2

15 × 0,2 = 3

30 + 3 = 33

Hasilnya tetap 33 karena perkalian dan pembagian memang boleh dikerjakan dari kiri ke kanan, dan dalam contoh ini kedua cara memberikan hasil yang sama.

Namun, aturan yang dianjurkan adalah:

15 × 2 = 30

30 : 10 = 3

karena mengikuti urutan operasi dari kiri ke kanan untuk perkalian dan pembagian.

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Aturan yang Mudah Diingat

• Kerjakan isi kurung terlebih dahulu (jika ada).

• Kerjakan perkalian dan pembagian dari kiri ke kanan.

• Setelah itu, kerjakan penjumlahan dan pengurangan dari kiri ke kanan.

Kesimpulan

30 + 15 × 2 : 10

= 30 + 30 : 10

= 30 + 3

= 33

Jawaban yang benar adalah: 33.

Bila ingin mengetahui lebih lanjut tentang Urutan Operasi Penyelesaian Soal Matematika sesuai Aturan PEMDAS atau  BODMAS di  sini

Problem:  30 + 15 × 2 : 10 = ?

Step 1. Identify the operation symbols

+ = Addition

× = Multiplication

: = Division

Step 2. Remember the order of operations

Perform the operations in the following order:

1. Parentheses ( )

2. Exponents

3. Multiplication (×) and Division (÷), from left to right

4. Addition (+) and Subtraction (−)

Since multiplication and division have the same priority, perform them from left to right.

Step 3. Perform the multiplication first

15 × 2 = 30

Now substitute the result into the original expression.

From: 30 + 15 × 2 : 10

To:  30 + 30 : 10

Step 4. Perform the division

30 : 10 = 3

Now the expression becomes:  30 + 3

Step 5. Perform the addition

30 + 3 = 33

Final Answer

30 + 15 × 2 : 10 = 33

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Complete Solution

30 + 15 × 2 : 10

= 30 + 30 : 10

= 30 + 3

= 33

---

Why isn't the answer 9?

Some people may try a different order of calculation, but according to the order of operations, multiplication and division must be performed before addition.

The correct sequence is:

15 × 2 = 30

30 : 10 = 3

30 + 3 = 33

Therefore, the correct answer is 33.

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Easy Rule to Remember

• Solve parentheses first (if any).

• Perform multiplication and division from left to right.

• Then perform addition and subtraction from left to right.

Conclusion

30 + 15 × 2 : 10

= 30 + 30 : 10

= 30 + 3

= 33

The correct answer is: 33.

 

 

PEMDAS Acronym

The Letters in PEMDAS Stand for:

• P = Parentheses

• E = Exponents

• M = Multiplication

• D = Division

• A = Addition

• S = Subtraction

 

BODMAS Acronym

The Letters in BODMAS Stand for:

• B = Brackets

• O = Orders (Exponents, Roots, and Other Powers)

• D = Division

• M = Multiplication

• A = Addition

• S = Subtraction

 

PEMDAS and BODMAS are acronyms used to remember the correct order of mathematical operations.

PEMDAS is commonly used in the United States, while BODMAS is commonly used in the United Kingdom, Australia, New Zealand, and many Commonwealth countries.

Although the acronyms are different, they represent the same order of operations.