10 Wonders of the Rosary

10 Wonders of the Rosary

Matematika 8. Kelipatan persekutuan terkecil (KPK) dari
120 dan 150 adalah....
2 x 3 x 5
2 x 3 x 5²
A
B.
C.
D.
22 x 3 x 5²
2³ x 3 x 5²

8. Kelipatan persekutuan terkecil (KPK) dari
120 dan 150 adalah....
2 x 3 x 5
2 x 3 x 5²
A
B.
C.
D.
22 x 3 x 5²
2³ x 3 x 5²

D

Penjelasan dengan langkah-langkah:

120 = 2³ × 3 × 5

150 = 2 × 3 × 5²

KPK = 2³ × 3 × 5²

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  • [tex]\large{\color{magenta}\mathbb{↓ JAWABAN :}}[/tex]

[tex] \: \: \: \: \blue{ \sf{kpk \: dari \: 120 \: dan \: 150 : }} \\ \sf{120 = {2}^{3} \times 3 \times 5} \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5} \\ \sf{ =4 \times 2 \times 3 \times 5 } \\ \sf{ = 8 \times 3 \times 5} \\ \sf{ = 24 \times 5} \\ \\ \sf{150 = 2 \times 3 \times {5}^{2} } \\ \sf{ = 2 \times 3 \times 5 \times 5} \\ \sf{ = 6 \times 25} \\ \\ \sf{kpk = \underline{ \red{ \sf{ {2}^{3} \times 3 \times {5}^{2} }}}}[/tex]

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  • [tex]\large{\color{cyan}\mathbb{↓ KESIMPULAN }}[/tex]

KPK = [tex]\underline{\boxed{\red{\rm{2^3 \times 3 \times 5^2~(opsi~D )}}}}[/tex]

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