tentukanlah FPB dan KPK berikut a.24 dan 32 b.72 dan 216 c.45 dan 50 e.80dan 128 d.115 dan 125
Matematika
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Pertanyaan
tentukanlah FPB dan KPK berikut
a.24 dan 32
b.72 dan 216
c.45 dan 50
e.80dan 128
d.115 dan 125
a.24 dan 32
b.72 dan 216
c.45 dan 50
e.80dan 128
d.115 dan 125
2 Jawaban
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1. Jawaban RezaBimaMaulana
A. 24 = 2^3 × 3
32 = 2^5
FPB = 2^3 = 2 × 2 × 2 = 8
KPK = 2^5 × 3 = 32 × 3 = 96
B. 72 = 2^3 × 3^2
216 = 2^3 × 3^3
FPB = 2^3 × 3^2 = 8 × 9 = 72
KPK = 2^3 × 3^3 = 8 × 27 = 216
C. 45 = 3^2 × 5
50 = 2 × 5^2
FPB = 5
KPK = 2 × 3^2 × 5^2 = ( 2 × 9 ) × 25 = 18 × 25 = 450
E. 80 = 2^4 × 5
128 = 2^7
FPB = 2^4 = 2 × 2 × 2 × 2 = 16
KPK = 2^7 × 5 = 128 × 5 = 640
D. 115 = 5 × 23
125 = 5^3
FPB = 5
KPK = 5^3 × 23 = 125 × 23 = 2.875 -
2. Jawaban mortifan
A. 24 = 2³ x 3
32 = 2 pangkat lima.
FPB = 2³ = 8
KPK= 2 pangkat lima x 3 = 32.
b. 72 = 2³ x 3²
216= 2³ x 3³
FPB = 2³ x 3² = 72
KPK = 2³ x 3³ = 216
C. 45 = 5 x 3²
50 = 2 x 5²
FBP = 5
KPK = 2 x 3² x 5² = 450
d. 80 = 2³ x 5
128 = 2 pangkat 7
FBP = 2³ = 8
KPK = 2 pangkat 7 x 5 = 128
E. 115 = 5 x 23
125 = 5³
FBP = 5
KPK = 5³ x 23 = 2.875