Use long division to convert 2716 to a decimal.(1 point)
Responses
2.716
2.716
0.4375
0.4375
2.2857
2.2857
2.4375
2.4375
To convert 2716 to a decimal using long division, follow these steps:
1. Place the decimal point after the first digit: 2.____ (Since 2716 has four digits)
2. Divide 2716 by 1000 (since there are three zeros after the decimal point): 2716 ÷ 1000 = 2 remainder 716
3. Bring down the next digit (in this case, it's 7) to the remainder: 716
4. Divide 716 by 100 (since there are two zeros after the decimal point): 716 ÷ 100 = 7 remainder 16
5. Bring down the next digit (in this case, it's 1) to the remainder: 1616
6. Divide 1616 by 10 (since there is one zero after the decimal point): 1616 ÷ 10 = 161 remainder 6
7. Bring down the next digit (in this case, it's 6) to the remainder: 66
8. Now divide 66 by 1 (since there are no zeros after the decimal point): 66 ÷ 1 = 66 remainder 0
9. Since the remainder is now 0, we have our final decimal value: 2.716
Therefore, the decimal form of 2716 is 2.716.
To convert 2716 to a decimal using long division, follow these steps:
1. Write the number 2716 as the numerator (the number being divided).
2. Write 1 as the denominator (the number you are dividing by). So the division problem is: 2716 ÷ 1.
3. Perform the long division by starting with the first digit of the numerator (2) and dividing it by the denominator (1). Write the result (2) above the line.
4. Multiply the divisor (1) by the result above the line (2). Subtract this product (2) from the first two digits of the numerator (27) to get the remainder (7).
5. Bring down the next digit of the numerator (1) and append it to the remainder (7), giving you 71.
6. Repeat step 3 by dividing the new number (71) by the denominator (1). Write the result (71) above the line.
7. Repeat steps 4 and 5 by subtracting the product of the divisor (1) and the result above the line (71) from the remaining digits of the numerator (716) to get the new remainder.
8. Continue this process until all the digits in the numerator have been used.
9. The result obtained above the line, with the decimal place in the correct position, is the decimal representation of the number. In this case, the decimal representation of 2716 is 2.716.
10. Therefore, the correct answer is 2.716.