Use long division to convert 6715 to a decimal.(1 point..)
Responses
≈0.46
approximately equals 0.46
≈6.14285
approximately equals 6.14285
6.715
6.715
≈6.47
≈0.46
To convert 6715 to a decimal using long division, follow these steps:
1. Start by dividing 6715 by 1000, which equals 6.715. Write down the whole number, 6, as the first digit to the left of the decimal point.
2. Subtract 6 from 6.715, which leaves you with 0.715.
3. Multiply 0.715 by 10 to move the decimal point one place to the right. This equals 7.15.
4. Divide 7.15 by 10, which gives you 0.715. Write down the digit, 7, as the next digit to the right of the decimal point.
5. Subtract 0.715 from 0.715, which leaves you with 0.
Since there is no remainder left after the subtraction, the division process terminates. The final result is:
6715 ≈ 6.715
To convert 6715 to a decimal using long division, follow these steps:
1. Start by writing 6715 as the dividend inside the long division symbol (÷), and the divisor as the number you want to convert the dividend by.
________
| 6715
2. Take the first digit of the dividend (6) and divide it by the divisor. Write the result as the quotient above the division line.
________
| 6715
| 6
3. Multiply the quotient by the divisor, and subtract the result from the dividend.
________
| 6715
| 6
- 6 * divisor
4. Bring down the next digit from the dividend and place it next to the result you obtained in the previous step.
________
| 6715
| 6
- 6 * divisor
1
5. Divide the new number (16) by the divisor and write the result as the next digit of the quotient.
________
| 6715
| 6
- 6 * divisor
1
- 16
6. Multiply the new quotient digit (1) by the divisor, subtract it from the current number, and bring down the next digit.
________
| 6715
| 6
- 6 * divisor
1
- 16
- 16 * divisor
7. Repeat steps 5 and 6 until you have obtained the desired level of precision.
8. Continue this process until you reach the desired level of precision or until the pattern repeats.
The steps above should help you convert 6715 to a decimal. Note that the decimal representation will be an approximation because there is no exact decimal representation for every rational number.