Use long division to convert 6715 to a decimal.(1 point) Responses ≈6.14285 approximately equals 6.14285 ≈0.46 approximately equals 0.46 6.715 6.715 ≈6.47
To convert 6715 to a decimal using long division, we divide 6715 by 1 and add a decimal point after the 5:
```
___
1 | 6715.0
```
We can now proceed with long division:
- 1 does not go into 6, so the first digit after the decimal point is 0.
- 1 goes into 67, 67 times, so we write a 67 above the division line and subtract 67 from 67, which leaves us with 0.
- Bring down the next digit, which is 1.
- 1 goes into 1, 1 time, so we write a 1 above the division line and subtract 1 from 1, which leaves us with 0.
- Bring down the next digit, which is 5.
- 1 goes into 5, 5 times, so we write a 5 above the division line and subtract 5 from 5, which leaves us with 0.
- There are no more digits to bring down, and we have a remainder of 0.
Therefore, 6715 as a decimal is approximately 6715.0
The response that best represents this is: ≈6.715
To convert 6715 to a decimal using long division, you can follow these steps:
1. Start by placing the dividend (6715) inside the long division bracket and the divisor (1) outside.
```
____
1 | 6715
```
2. Divide the first digit of the dividend (6) by the divisor (1), which gives you 6 as the quotient. Write this above the line.
```
__6_
1 | 6715
```
3. Multiply the quotient (6) by the divisor (1), which gives you 6. Write this below the line.
```
__6_
1 | 6715
-6
```
4. Subtract the result from the step above (6) from the first part of the dividend (6), which gives you the remainder. Write this below the line.
```
__6_
1 | 6715
-6
1
```
5. Bring down the next digit of the dividend (7) and place it next to the remainder.
```
__6_
1 | 6715
-6
17
```
6. Divide the new number (17) by the divisor (1), which gives you 17 as the quotient. Write this above the line.
```
__66
1 | 6715
-6
17
```
7. Multiply the quotient (17) by the divisor (1), which gives you 17. Write this below the line.
```
__66
1 | 6715
-6
17
-17
```
8. Subtract the result from the step above (17) from the part of the dividend (17), which gives you the new remainder. Write this below the line.
```
__666_
1 | 6715
-6
170
-17
3
```
9. Bring down the next digit of the dividend (5) and place it next to the remainder.
```
__666_
1 | 6715
-6
170
-17
35
```
10. Divide the new number (35) by the divisor (1), which gives you 35 as the quotient. Write this above the line.
```
__6665_
1 | 6715
-6
170
-17
35
35
```
11. Multiply the quotient (35) by the divisor (1), which gives you 35. Write this below the line.
```
__6665_
1 | 6715
-6
170
-17
35
35
-35
```
12. Subtract the result from the step above (35) from the part of the dividend (35), which gives you the new remainder. Write this below the line.
```
__66665
1 | 6715
-6
170
-17
35
35
-35
0
```
13. Since the remainder is now 0, the long division process is completed. The decimal representation of 6715 is approximately 6665.
Therefore, 6715 in decimal form is approximately 6665.
To convert 6715 to a decimal using long division, follow these steps:
Step 1: Write down the number to be converted (6715) as the dividend.
Step 2: Choose a number to divide by (for example, 10) and write it as the divisor.
Step 3: Perform the long division by dividing the first digit of the dividend (6) by the divisor (10), which gives you 0 as the quotient.
Step 4: Multiply the quotient (0) by the divisor (10) and subtract it from the first digit of the dividend (6). This gives you a result of 6.
Step 5: Bring down the next digit from the dividend (7) and add it to the result obtained in the previous step (6), which gives you 67.
Step 6: Divide the result (67) by the divisor (10), which gives you 6 as the quotient.
Step 7: Multiply the quotient (6) by the divisor (10) and subtract it from the result (67). This leaves you with a result of 7.
Step 8: Bring down the next digit from the dividend (1) and add it to the result obtained in the previous step (7), which gives you 71.
Step 9: Divide the result (71) by the divisor (10), which gives you 7 as the quotient.
Step 10: Multiply the quotient (7) by the divisor (10) and subtract it from the result (71). This gives you a result of 1.
Step 11: Bring down the next digit from the dividend (5) and add it to the result obtained in the previous step (1), which gives you 15.
Step 12: Divide the result (15) by the divisor (10), which gives you 1 as the quotient.
Step 13: Multiply the quotient (1) by the divisor (10) and subtract it from the result (15). This leaves you with a result of 5.
Step 14: Bring down the next digit from the dividend (0) and add it to the result obtained in the previous step (5), which gives you 50.
Step 15: Divide the result (50) by the divisor (10), which gives you 5 as the quotient.
Step 16: Multiply the quotient (5) by the divisor (10) and subtract it from the result (50). This gives you a result of 0.
The final result of this long division is 6.715, which is the decimal representation of 6715.