Matematika Sekolah Menengah Pertama Q.

15! × 10!
232²⁰ × 20¹⁰

Nt : Sepi pisan..​

Q.

15! × 10!
232²⁰ × 20¹⁰

Nt : Sepi pisan..​

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15! × 10!

232²⁰ × 20¹⁰

[tex] \\ [/tex]

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Soal Pertama

15! = {15×14×13×12×11×10×9×8×7×6×5×4×3×2×1} = 1.307.674.368.000

10! = {10×9×8×7×6×5×4×3×2×1} = 3.628.800

[tex] \\ [/tex]

1.307.674.368.000 × 3.628.800

= 4.745.288.746.598.400.000

Hasil Paling Alternatif/Sederhana

4,7452887465984 × 10⁸

[tex] \\ [/tex]

Soal Kedua

232²⁰ = 2,04061 × 10⁴⁷

20¹⁰ = 10.240.000.000.000

[tex] \\ [/tex]

Hasilnya :D

2,08958 × 10⁶⁰

[tex] \\ [/tex]

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Jawab:

15! × 10! = 4,74528875e26

232²⁰ × 20¹⁰ = 928.000

Penjelasan dengan langkah-langkah:

15! = ( 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 210 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 2.730 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 32.760 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 360.360 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 3.603.600 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 32.432.400 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 259.459.200 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 1,8162144e9 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 1,08972864e10 x 5 x 4 x 3 x 2 x 1 )

= ( 5,4486432e10 x 4 x 3 x 2 x 1 )

= ( 2,17945728e11 x 3 x 2 x 1 )

= ( 6,53837184e11 x 2 x 1 )

= ( 1,30767437e12 x 1 )

= ( 1,30767437e12 )

15! = 1,30767437e12

10! = ( 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 90 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 720 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 5.040 x 6 x 5 x 4 x 3 x 2 x 1 )

= ( 30.240 x 5 x 4 x 3 x 2 x 1 )

= ( 151.200 x 4 x 3 x 2 x 1 )

= ( 604.800 x 3 x 2 x 1 )

= ( 1.814.400 x 2 x 1 )

= ( 3.628.800 x 1 )

= 3.628.800

10! = 3.628.800

15! X 10! = ( 1,30767437e12 x 3.628.800 )
= 4,74528875e26

15! X 10! = 4,74528875e26

232²⁰ × 20¹⁰ = ( ¹⁰ x ²⁰ )
= ( ²⁰⁰ )

232²⁰ x 20¹⁰ = ( 232 x 20 x 200 )
= ( 928.000 )

232²⁰ x 20¹⁰ = 928.000

Semoga membantu. [answer.2.content]