Use long division to convert 6715 to a decimal.(1 point)
Responses
≈6.47
approximately equals 6.47
≈0.46
approximately equals 0.46
≈6.14285
approximately equals 6.14285
6.715
≈6.14285
To convert 6715 to a decimal using long division, follow these steps:
1. Divide the first digit of the dividend (6) by the divisor (1). This will give you the quotient for the first step of the long division.
6 ÷ 1 = 6
2. Multiply the quotient from step 1 (6) by the divisor (1), then subtract it from the digit being divided (6). Write the result below the line.
6 - (6 * 1) = 6 - 6 = 0
The result is 0. Now, bring down the next digit (7) from the dividend.
3. Divide the result from step 2 (0) and the next digit of the dividend (7) by the divisor (1). This will give you the quotient for the second step of long division.
07 ÷ 1 = 7
4. Multiply the quotient from step 3 (7) by the divisor (1), then subtract it from the digits being divided (7 and 0). Write the result below the line.
07 - (7 * 1) = 07 - 7 = 0
The result is 0. Now, bring down the next digit (1) from the dividend.
5. Divide the result from step 4 (0) and the next digit of the dividend (1) by the divisor (1). This will give you the quotient for the third step of long division.
01 ÷ 1 = 1
6. Multiply the quotient from step 5 (1) by the divisor (1), then subtract it from the digits being divided (1 and 0). Write the result below the line.
01 - (1 * 1) = 01 - 1 = 0
The result is 0. Now, bring down the next digit (5) from the dividend.
7. Divide the result from step 6 (0) and the next digit of the dividend (5) by the divisor (1). This will give you the quotient for the fourth and final step of long division.
05 ÷ 1 = 5
8. Multiply the quotient from step 7 (5) by the divisor (1), then subtract it from the digits being divided (5 and 0). Write the result below the line.
05 - (5 * 1) = 05 - 5 = 0
The result is 0. Since there are no more digits to bring down from the dividend, the long division is complete.
The decimal representation of 6715 is 6.715.
To convert 6715 to a decimal using long division, follow these steps:
1. Start by dividing 6715 by the desired decimal place value you want. For example, if you want to convert it to two decimal places, divide by 100.
6715 ÷ 100 = 67
2. Write down the quotient (67) above a horizontal line and the remainder (15) below the line.
----
100|6715
-6700
---
15
3. Bring down the next digit from the original number (if any). In this case, there are no more digits.
4. Add a decimal point above the line.
----
100|6715
-6700
---
15.
5. Divide the remainder by the same decimal place value. In this case, divide 15 by 100.
15 ÷ 100 = 0.15
6. Write down the result (0.15) below the line.
----
100|6715
-6700
---
15.0
-15.
----
0
7. The decimal equivalent of 6715 using long division is 67.15.