Question

Вычислите по образцу:Образец: 40*20=(4*10)*(2*10)=(4*2)*(10*10)=8*100=80030x20 60x30 9x400600x70 3000x30 500x2000

Answer 1

30 х 20 = (3 х 10) х (2 х 10) = (3 х 2) х (10 х 10) = 6 х 100 = 600
60 х 30 = (6 х 10) х (3 х 10) = (6 х 3) х (10 х 10) = 18 х 100 = 1800
9 х 400 = (3 х 3) х (4 х 100) = (3 х 4) х (3 х 10) = 24 х 300 = 3600
600 х 70 = (6 х 100) х (7 х 10) = (6 х 7) х (100 х 10) = 42 х 1000 = 42 000
3000 х 30 = (3 х 1000) х (3 х 10) = (3 х 3) х (1000 х 10) = 9 х 10000 = 90 000
500 х 2000 = (5 х 100) х (20 х 100) = (5 х 20) х (100 х 100) = 100 х 10 000 = 1 000 000

Answer 2

(3*2)(10*10)=6*100=600
(6*3)(10*10)=18*100=1800
(9*4)*100=3600
(6*7)(100*10)=42*1000=42000
(3*3)(1000*10)=9*10000=90000
(5*2)(100*1000)=10*100000=1000000

Answer 3

Давайте решим данное выражение по шагам, следуя образцу:

1. \(30 \times 20\) \[ (3 \times 10) \times (2 \times 10) = (3 \times 2) \times (10 \times 10) = 6 \times 100 = 600 \]

2. \(60 \times 30\) \[ (6 \times 10) \times (3 \times 10) = (6 \times 3) \times (10 \times 10) = 18 \times 100 = 1800 \]

3. \(9 \times 400\) \[ (9 \times 100) \times (4 \times 100) = (9 \times 4) \times (100 \times 100) = 36 \times 10000 = 360000 \]

4. \(600 \times 70\) \[ (6 \times 100) \times 70 = 600 \times 70 = 42000 \]

5. \(3000 \times 30\) \[ (30 \times 100) \times 30 = 3000 \times 30 = 90000 \]

6. \(500 \times 2000\) \[ (5 \times 100) \times (20 \times 100) = (5 \times 20) \times (100 \times 100) = 100 \times 100000 = 1000000 \]

Теперь сложим все полученные результаты:

\[ 600 + 1800 + 360000 + 42000 + 90000 + 1000000 = 1442400 \]

Итак, \(30 \times 20 + 60 \times 30 + 9 \times 400 + 600 \times 70 + 3000 \times 30 + 500 \times 2000 = 1442400 \).