
СРОЧНО! Выполните деление двумя способами с объяснением и проверкой. 782:2 984:3 944:4 456:2 543:3


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Ответ:
деление в столбик и проверка




Division with Explanation and Verification
To divide numbers, we can use two common methods: long division and using a calculator. Let's divide the given numbers using both methods and explain the steps involved.
1. Long Division Method: - 782 ÷ 2: - We start by dividing the first digit of the dividend (7) by the divisor (2). The result is 3, and we write it above the line. - Next, we multiply the divisor (2) by the quotient (3), which gives us 6. We subtract 6 from 7, and write the remainder (1) next to the 6. - We bring down the next digit (8) and divide it by the divisor (2). The result is 4, which we write above the line. - Again, we multiply the divisor (2) by the new quotient (4), giving us 8. We subtract 8 from 8, leaving no remainder. - Since there are no more digits to bring down, we have our final quotient: 391. - Therefore, 782 ÷ 2 = 391.
- 984 ÷ 3: - We start by dividing the first digit of the dividend (9) by the divisor (3). The result is 3, and we write it above the line. - Next, we multiply the divisor (3) by the quotient (3), which gives us 9. We subtract 9 from 9, leaving no remainder. - We bring down the next digit (8) and divide it by the divisor (3). The result is 2, which we write above the line. - Again, we multiply the divisor (3) by the new quotient (2), giving us 6. We subtract 6 from 8, and write the remainder (2) next to the 6. - We bring down the last digit (4) and divide it by the divisor (3). The result is 1, which we write above the line. - Finally, we multiply the divisor (3) by the new quotient (1), giving us 3. We subtract 3 from 4, leaving a remainder of 1. - Therefore, 984 ÷ 3 = 328 with a remainder of 1.
- 944 ÷ 4: - We start by dividing the first digit of the dividend (9) by the divisor (4). The result is 2, and we write it above the line. - Next, we multiply the divisor (4) by the quotient (2), which gives us 8. We subtract 8 from 9, and write the remainder (1) next to the 8. - We bring down the next digit (4) and divide it by the divisor (4). The result is 1, which we write above the line. - Again, we multiply the divisor (4) by the new quotient (1), giving us 4. We subtract 4 from 4, leaving no remainder. - Since there are no more digits to bring down, we have our final quotient: 236. - Therefore, 944 ÷ 4 = 236.
- 456 ÷ 2: - We start by dividing the first digit of the dividend (4) by the divisor (2). The result is 2, and we write it above the line. - Next, we multiply the divisor (2) by the quotient (2), which gives us 4. We subtract 4 from 4, leaving no remainder. - We bring down the next digit (5) and divide it by the divisor (2). The result is 2, which we write above the line. - Again, we multiply the divisor (2) by the new quotient (2), giving us 4. We subtract 4 from 5, and write the remainder (1) next to the 4. - Finally, we bring down the last digit (6) and divide it by the divisor (2). The result is 3, which we write above the line. - Therefore, 456 ÷ 2 = 228.
- 543 ÷ 3: - We start by dividing the first digit of the dividend (5) by the divisor (3). The result is 1, and we write it above the line. - Next, we multiply the divisor (3) by the quotient (1), which gives us 3. We subtract 3 from 5, and write the remainder (2) next to the 3. - We bring down the next digit (4) and divide it by the divisor (3). The result is 1, which we write above the line. - Again, we multiply the divisor (3) by the new quotient (1), giving us 3. We subtract 3 from 4, and write the remainder (1) next to the 3. - Finally, we bring down the last digit (3) and divide it by the divisor (3). The result is 1, which we write above the line. - Therefore, 543 ÷ 3 = 181.
2. Calculator Method: - Using a calculator, we can simply input the division expression and obtain the result. - 782 ÷ 2 = 391 - 984 ÷ 3 = 328.666... - 944 ÷ 4 = 236 - 456 ÷ 2 = 228 - 543 ÷ 3 = 181
Please note that the calculator method provides decimal results for divisions that do not result in a whole number quotient.
I hope this explanation helps! Let me know if you have any further questions.


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