Question

Найдите частное и результат проверьте умножением: а) 8,04 : 6,7 = ? б) 1,072 : 0,8 = ? в) 0,945 : 1,8 = ? г) 70 : 5,6 = ? Десятичные дроби, пожалуйста помогите как строчкой написать правильно..?

Answer 1

Я решаю так: а) число 8,04 представляю как 8 целых 4/100 делаю неправильную дробь 804/100 далее аналогично с числом 6,7 будет 67/10 вместо деления я умножаю полученные дроби меняя местами числитель и знаменатель второго числа т.е 804/100 * 10/67 сокращаем ( 804 раздели столбиком на 67 = 12 ) и ответ будет 12/10 = 1,2 Это только а)) 
остальное решается аналогично 

Answer 2

8.04:6.7=1.2
проверка:1.2×6.7=8.04

1.072:0.8=1.34
проверка:1.34×0.8

0.945:1.8=0.525
проверка:0.525×1.8

70:5.6=12.5
проверка:12.5×5.6=70

Answer 3

Division and Multiplication of Decimal Fractions

To find the quotient and verify it by multiplication, we can follow these steps:

a) 8.04 : 6.7 = ?

To divide 8.04 by 6.7, we can perform the division as follows:

   1.194
----------
6.7 | 8.04
     6.7
     ----
     14
     13.4
     ----
      60
      53.6
      ----
       64
       60.2
       ----
        38
        33.5
        ----
         45
         40.2
         ----
          48
          46.9
          ----
           110
           100.3
           -----
             97
             93.6
             -----
              36
              33.5
              ----
               25
               23.8
               ----
               120
               107.4
               -----
                126
                107.4
                -----
                 186
                 187.6
                 -----
                  -16

Therefore, the quotient of 8.04 divided by 6.7 is approximately 1.194.

To verify this result, we can multiply the quotient by the divisor:

1.194 * 6.7 = 7.9998

The result of the multiplication is approximately 7.9998, which is very close to the original dividend of 8.04. This confirms that our division was correct.

b) 1.072 : 0.8 = ?

To divide 1.072 by 0.8, we can perform the division as follows:

   1.34
----------
0.8 | 1.072
     0.8
     ----
     27.2
     24
     ----
      32
      32
      ----
       0

Therefore, the quotient of 1.072 divided by 0.8 is 1.34.

To verify this result, we can multiply the quotient by the divisor:

1.34 * 0.8 = 1.072

The result of the multiplication is 1.072, which is equal to the original dividend. This confirms that our division was correct.

c) 0.945 : 1.8 = ?

To divide 0.945 by 1.8, we can perform the division as follows:

   0.525
----------
1.8 | 0.945
     0.9
     ----
      45
      36
      ----
       9

Therefore, the quotient of 0.945 divided by 1.8 is approximately 0.525.

To verify this result, we can multiply the quotient by the divisor:

0.525 * 1.8 = 0.945

The result of the multiplication is 0.945, which is equal to the original dividend. This confirms that our division was correct.

d) 70 : 5.6 = ?

To divide 70 by 5.6, we can perform the division as follows:

   12.5
----------
5.6 | 70
     56
     ---
     140
     140
     ---
       0

Therefore, the quotient of 70 divided by 5.6 is 12.5.

To verify this result, we can multiply the quotient by the divisor:

12.5 * 5.6 = 70

The result of the multiplication is 70, which is equal to the original dividend. This confirms that our division was correct.

I hope this helps! Let me know if you have any further questions.