operasi hitung campuran kelas vi
DESCRIPTION
Belajar Operasi Hitung Campuran kelas VI semester I. Konsep, Pembahasan Konsep, Soal, Pembahasan Soal, Soal Latihan dan Kunci jawabanTRANSCRIPT
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OPERASI HITUNG CAMPURAN
BARON JAYA SANTIKA, S.PD
SDN MENTENG 02, JL. TEGAL NO. 10 MENTENG JAKARTA PUSAT
KELAS VI SEMESTER I
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STANDAR KOMPETENSI
MELAKUKAN OPERASI HITUNG BILANGAN BULAT
DALAM PEMECAHAN MASALAH
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KOMPETENSI DASAR
MENGGUNAKAN SIFAT-SIFAT OPERASI HITUNG
TERMASUK OPERASI CAMPURAN, FPB, DAN KPK.
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INDIKATOR
OPERASI HITUNG CAMPURAN BILANGAN BULAT
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Konsep Dasar
Urutan Operasi Hitung Campuran :
1. Kerjakan yang ada didalam kurung ( ), kurung persegi [ ], dan kurung kurawal { } terlebih dahulu.
2. Sederhanakan/kerjakan pangkat dan akar dan kerjakan dari kiri ke kanan.
3. Kerjakan perkalian dan pembagian terlebih dahulu dari kiri ke kanan.
4. Kerjakan penjumlahan dan pengurangan dari kiri ke kanan.
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Pembahasan Konsep
Kerjakan yang ada didalam kurung ( ), kurung persegi [ ], dan kurung kurawal { } terlebih dahulu.
Contoh : 57 x ( 25 + 13 ) : 6 – 250 = ....
57 x ( 25 + 13 ) : 6 – 250 = 57 x 38 : 6 – 250
= 2.166 : 6 – 250
= 361 – 250
= 111
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Soal
1.5 x ( 894 + 125 ) – 534 + 250 = ....
2.390 : 5 + 7 x ( 25 + 29 ) = ....
3. ( 892 – 299 ) x 5 + 561 – 850 = ....
4.589 + 773 – 834 + ( 894 – 645 ) = ....
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Pembahasan Soal
1. 5 x ( 894 + 125 ) – 534 + 250 = 5 x 1.019 – 534 + 250
= 5.095 – 534 + 250
= 4.811
2. 390 : 5 + 7 x ( 25 + 29 ) = 390 : 5 + 7 x 54
= 78 + 378
= 456
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Pembahasan Soal
3. ( 829 – 299 ) x 5 + 561 – 850 = 530 x 5 + 561 – 850
= 2.650 + 561 – 850
= 2.361
4. 589 + 773 – 834 + ( 894 – 645 ) = 589 + 773 – 834 + 249
= 777
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Pembahasan KonsepSederhanakan/kerjakan pangkat dan akar dan kerjakan dari kiri ke kanan.
Contoh Pangkat : 658 – 82 – 264 + 83 = ....
658 – 82 – 264 + 83 = 658 – 64 – 264 + 83
= 594 – 264 + 83
= 330 + 83
= 413
Contoh Akar : 83 x 3√729 + 927 – 1.250 83 x 3√729 + 927 – 1.250 = 83 x 9 + 927 – 1.250
= 747 + 927 – 1.250
= 1.674 – 1.250
= 424
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Soal
1. 252 + 2.568 – 1.544 = ....
2. 4.500 – 143 + 519 = ....
3. √400 + 853 – 121 = ....
4. 3√1.000 + 455 – 250 = ....
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Pembahasan Soal
1. 252 + 2.568 – 1.544 = 625 + 2.568 – 1.544
= 3.193 – 1.544
= 1.649
2. 4.500 – 143 + 519 = 4.500 – 2.744 + 519
= 1.756 + 519
= 2.275
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Pembahasan Soal
3. √400 + 853 – 121 = 20 + 853 – 121
= 873 – 121
= 752
4. 3√1.000 + 455 – 250 = 10 + 455 – 250
= 465 – 250
= 215
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Pembahasan Konsep
Kerjakan perkalian dan pembagian terlebih dahulu dari kiri ke kanan.
Contoh Perkalian : 250 + 81 x 6 – 550 = ....
250 + 81 x 6 – 550 = 250 + 486 – 550
= 736 – 550
= 186
Contoh Pembagian : 871 – 2.500 : 10 + 734 = ....
871 – 2.500 : 10 + 734 = 871 – 250 + 734
= 621 + 734
= 1.355
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Soal
1. 2.564 + 26 x 7 – 1.591 = ....2. 3.816 – 2.483 + 64 x 31 = ....3. 7.553 : 83 +1.520 – 564 = ....4. 5.821 – 2.436 + 2.345 : 67 = ....
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Pembahasan Soal
1. 2.564 + 26 x 7 – 1.591 = 2.564 + 182 – 1.591
= 2.746 – 1.591
= 1.155
2. 3.816 – 2.483 + 64 x 31 = 3.816 – 2.483 + 1.984
=1.333 + 1.984
= 3.317
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Pembahasan Soal
3. 7.553 : 83 +1.520 – 564 = 91 + 1.520 – 564
= 1.611 – 564
= 1.047
4. 5.821 – 2.436 + 2.345 : 67 = 5.821 – 2.436 + 35
= 3.385 + 35
= 3.420
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Pembahasan Konsep
Kerjakan penjumlahan dan pengurangan dari kiri ke kanan.
Contoh : 867 + 934 – 449 = ....
1.384 – 928 + 461 = ....
867 + 934 – 449 = 1.801 – 449
= 1.352
1.384 – 928 + 461 = 456 + 461
= 917
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Soal
1. 8.625 + 1.635 – 2.519 = ....
2. 5.642 + 2.821 – 3.315 = ....
3. 3.851 – 1.880 + 3.573 = ....
4. 9.451 – 2.554 + 1.431 = ....
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Pembahasan Soal
1. 8.625 + 1.635 – 2.519 = 10.260 – 2.519= 7.741
2. 5.642 + 2.821 – 3.315 = 8.463 – 3.315= 5.148
3. 3.851 – 1.880 + 3.573 = 1.971 + 3.573= 5.544
4. 9.451 – 2.554 + 1.431 = 6.897 + 1.431= 8.328
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Latihan Soal
1. 21 x (586 – 117) + 554 – 1.949 = ....
2. 5.568 – 2.458 + 58 x 61 = ....
3. 86 x 24 : 12 + 2.847 – 1.887 = ....
4. 8.000 : (-40) + 5.843 – 2.741 = ....
5. 54 x 81 - 322 + 573 = ....
6. √2.025 + 5.871 – 2.597 = ....
7. 2.000 + 2.500 : (-50) – 100 x (-25) = ....
8. 125 x 80 + 2.500 : (-5) + (-18) x 61 = ....
9. 300 + 40 x (-80) + 2.700 : 9 = ....
10. 3.800 -1.500 : 30 + 57 x (-21) = ....
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Kunci Jawaban
1. 21 x (586 – 117) + 554 – 1.949 = 21 x 469 + 554 – 1.949
= 9.849 + 554 – 1.949
= 8.454
2. 5.568 – 2.458 + 58 x 61 = 5.568 – 2.458 + 3.538
= 6.648
3. 86 x 24 : 12 + 2.847 – 1.887 = 2064 : 12 + 2.847 – 1.887
= 172 + 2.847 – 1.887
= 1.132
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Kunci Jawaban
4. 8.000 : (-40) + 5.843 – 2.741 = - 200 + 5.843 – 2.741
= 2.902
5. 54 x 81 - 322 + 573 = 54 x 81 – 1.024 + 573
= 4.374 – 1.024 + 573
= 3.923
6. √2.025 + 5.871 – 2.597 = 45 + 5.871 – 2.597
= 3.319
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Kunci Jawaban
7. 2.000 + 2.500 : (-50) – 100 x (-25) = 2.000 + (-50) – (-2.500) = 4.450
8. 125 x 80 + 2500 : (-5) + (-18) x 61 = 10.000 + (-500) + (-1.098) = 8.402
9. 300 + 40 x (-80) + 2700 : 9 = 300 +(-3.200) + 300 = - 2.600
10. 3.800 -1500 : 30 + 57 x (-21) = 3800 - 50 + (-1.197) = 2.553