Use long division to convert 711 to a decimal.(1 point)
Responses
7.11
7.11
≈1.571428
approximately equals 1.571428
63
63
≈0.63
The correct answer is:
≈0.63
To convert 711 to a decimal using long division, follow these steps:
1. Divide 711 by 10 (the divisor in long division)
- The quotient is 71 and the remainder is 1.
- Write the quotient (71) as the whole number part of the decimal.
2. Bring down the next digit from the original number (1) to the right of the remainder.
- Now we have 11 as the new dividend.
3. Continue dividing 11 by 10.
- The quotient is 1 and the remainder is 1.
- Write the quotient (1) as the next decimal digit.
4. Since the remainder is 1, we know that the decimal part is recurring.
- To indicate this, we put a dot on top of the digit 1 in the decimal part.
- The decimal number is now 7.11 with the 1 after the dot recurring.
Therefore, the decimal representation of 711 is 7.11 (recurring).