MAT-260730-37

 

ENGLISH VERSION
STEP-BY-STEP SOLUTION USING PEMDAS

Given:

3K = 6²
D × K = 36
M = K + 8

Find:   (K × 2D ÷ ½ + M) = ?

STEP 1 — Solve K

According to PEMDAS, calculate the exponent first.

6² = 6 × 6 = 36

Therefore:   3K = 36

Divide both sides by 3:

K = 36 ÷ 3

K = 12

STEP 2 — Solve D

We know:   D × K = 36

Substitute K = 12:   D × 12 = 36

Therefore:   D = 36 ÷ 12

D = 3

STEP 3 — Solve M

We know:   M = K + 8

Substitute K = 12:

M = 12 + 8

M = 20

STEP 4 — Substitute K, D, and M into the expression

Original expression:   K × 2D ÷ ½ + M

Substitute:   12 × 2(3) ÷ ½ + 20

Since 2D means 2 × D:   12 × 2 × 3 ÷ ½ + 20

STEP 5 — Apply PEMDAS

PEMDAS means:

P = Parentheses
E = Exponents
MD = Multiplication and Division
AS = Addition and Subtraction

Multiplication and division have the SAME priority, so they are calculated from LEFT TO RIGHT.

First:   12 × 2 = 24

Then:   24 × 3 = 72

Then:   72 ÷ ½ = 144

Important:

Dividing by ½ is the same as multiplying by 2.

72 ÷ ½ = 72 × 2 = 144

Finally, add 20:   144 + 20 = 164

FINAL ANSWER:   (K × 2D ÷ ½ + M) = 164

ENGLISH — SHORT VERSION WITHOUT EXPLANATION

3K = 6²
3K = 36
K = 12

D × K = 36
D × 12 = 36
D = 3

M = K + 8
M = 12 + 8
M = 20

K × 2D ÷ ½ + M  = ?
= 12 × 2 × 3 ÷ ½ + 20
= 24 × 3 ÷ ½ + 20
= 72 ÷ ½ + 20
= 144 + 20
= 164

ANSWER = 164

 

VERSI BAHASA INDONESIA
PENYELESAIAN LANGKAH DEMI LANGKAH DENGAN PEMDAS

Diketahui:

3K = 6²
D × K = 36
M = K + 8

Ditanyakan:   (K × 2D ÷ ½ + M) = ?

LANGKAH 1 — Mencari nilai K

Sesuai aturan PEMDAS, pangkat dikerjakan terlebih dahulu.

6² = 6 × 6 = 36

Maka:   3K = 36

Kedua sisi dibagi 3:

K = 36 ÷ 3

K = 12

LANGKAH 2 — Mencari nilai D

Diketahui:   D × K = 36

Karena K = 12, maka:   D × 12 = 36

Jadi:   D = 36 ÷ 12

D = 3

LANGKAH 3 — Mencari nilai M

Diketahui:   M = K + 8

Karena K = 12:

M = 12 + 8

M = 20

LANGKAH 4 — Masukkan nilai K, D, dan M ke dalam soal

Soal awal:   K × 2D ÷ ½ + M

Masukkan:

K = 12
D = 3
M = 20

Maka:   12 × 2(3) ÷ ½ + 20

Karena 2D berarti 2 × D:

12 × 2 × 3 ÷ ½ + 20

LANGKAH 5 — Terapkan aturan PEMDAS

PEMDAS berarti:

P = Parentheses (Tanda Kurung)
E = Exponents (Pangkat)
M = Multiplication (Perkalian)
D = Division (Pembagian)
A = Addition (Penjumlahan)
S = Subtraction (Pengurangan)

Perkalian dan pembagian mempunyai tingkat prioritas yang SAMA.

Jika terdapat perkalian dan pembagian secara bersamaan, kerjakan dari KIRI ke KANAN.

Pertama:   12 × 2 = 24

Kemudian:   24 × 3 = 72

Kemudian:   72 ÷ ½ = 144

Catatan penting:

Membagi dengan ½ sama dengan mengalikan dengan 2.

72 ÷ ½ = 72 × 2 = 144

Terakhir:   144 + 20 = 164

JADI, JAWABAN AKHIRNYA ADALAH:

(K × 2D ÷ ½ + M) = 164

VERSI RINGKAS TANPA KETERANGAN

3K = 6²
3K = 36
K = 12

D × K = 36
D × 12 = 36
D = 3

M = K + 8
M = 12 + 8
M = 20

K × 2D ÷ ½ + M = ?
= 12 × 2 × 3 ÷ ½ + 20
= 24 × 3 ÷ ½ + 20
= 72 ÷ ½ + 20
= 144 + 20
= 164

JAWABAN = 164

 

(Sabtu, 8 Agustus 2026 12:50 WIB)