Question

Восстанови пропущенные цыфры в делимом и пропущенные числа в остатке так, чтобы остаток был наибольшим из возможных для каждого делителя ( за место вопроса? надо вставить цифру или число)6?:7=8(ост.?) 8?:9=9(ост.?)?9:6=9(ост.?) ?1:8=8(ост.?)

Answer 1

58:7=8(ост.2) 59:6=9(ост.5) 85:9=9(ост.4) 71:8=8(ост.7)

Answer 2

Problem Analysis

The problem requires us to find the missing digits in the dividend and the remainder in a division problem. We need to find the missing digits in the following equations:

1. 6 ?: 7 = 8 (remainder ?) 2. 8 ?: 9 = 9 (remainder ?) 3. 9 : 6 = 9 (remainder ?) 4. ?1 : 8 = 8 (remainder ?)

To solve these equations, we need to find the missing digits in the dividend and the remainder.

Solution

Let's solve each equation one by one:

1. 6 ?: 7 = 8 (remainder ?) To find the missing digit in the dividend, we can multiply the divisor (7) by the quotient (8) and add the remainder (missing digit). So, the missing digit can be found by the equation: 7 * 8 + ? = 6. Solving this equation, we get: 7 * 8 + ? = 6 56 + ? = 6 ? = 6 - 56 ? = -50

Therefore, the missing digit in the dividend is -50.

2. 8 ?: 9 = 9 (remainder ?) Similar to the previous equation, we can find the missing digit in the dividend by multiplying the divisor (9) by the quotient (9) and adding the remainder (missing digit). So, the missing digit can be found by the equation: 9 * 9 + ? = 8. Solving this equation, we get: 9 * 9 + ? = 8 81 + ? = 8 ? = 8 - 81 ? = -73

Therefore, the missing digit in the dividend is -73.

3. 9 : 6 = 9 (remainder ?) To find the missing digit in the remainder, we can multiply the divisor (6) by the quotient (9) and subtract the dividend (9). So, the missing digit can be found by the equation: 6 * 9 - 9 = ?. Solving this equation, we get: 6 * 9 - 9 = ? 54 - 9 = ? ? = 54 - 9 ? = 45

Therefore, the missing digit in the remainder is 45.

4. ?1 : 8 = 8 (remainder ?) Similar to the previous equation, we can find the missing digit in the remainder by multiplying the divisor (8) by the quotient (8) and subtracting the dividend (missing digit). So, the missing digit can be found by the equation: 8 * 8 - ? = 8. Solving this equation, we get: 8 * 8 - ? = 8 64 - ? = 8 ? = 64 - 8 ? = 56

Therefore, the missing digit in the remainder is 56.

Summary

The missing digits in the given division problems are as follows: 1. The missing digit in the dividend of 6 ?: 7 = 8 is -50. 2. The missing digit in the dividend of 8 ?: 9 = 9 is -73. 3. The missing digit in the remainder of 9 : 6 = 9 is 45. 4. The missing digit in the remainder of ?1 : 8 = 8 is 56.