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Explaining division and calculations
I’m working on division with remainders. For 288 ÷ 5, the result is 57 with a remainder of 3. I check my long division: 28 minus 25 equals 3, and bringing down the 8 gives me 38 minus 35, which again results in a remainder of 3. Next, 183 ÷ 9 yields 20 with 3 remaining. For the additional exercises, I’ll calculate quotients and remainders for each problem, like checking total juice produced in a word problem, totaling 47 liters.
Ответ:
\(611 : 7 = 87\) (ост. \(2\))
Проверка: \(7 \cdot 87 + 2 = 609 + 2 = 611\).\(792 : 6 = 132\) (ост. \(0\))
Проверка: \(6 \cdot 132 + 0 = 792\).\(847 : 3 = 282\) (ост. \(1\))
Проверка: \(3 \cdot 282 + 1 = 846 + 1 = 847\).\(968 : 9 = 107\) (ост. \(5\))
Проверка: \(9 \cdot 107 + 5 = 963 + 5 = 968\).
Принцип проверки:
\[
\text{делимое}=\text{делитель}\cdot\text{частное}+\text{остаток},
\]
при этом остаток должен быть меньше делителя.
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