Use long division to convert 711 to a decimal.(1 point)Use long division to convert 711 to a decimal.(1 point)
To use long division to convert 711 to a decimal, we can use the following steps:
1. Set up the long division equation with 711 as the dividend and 1 as the divisor:
1) 711
2. Begin dividing by starting with the first digit of the dividend (7). We divide 7 by 1 and write the quotient above the division symbol:
1) 711
7
3. Multiply the quotient (7) by the divisor (1) and subtract the result from the dividend:
1) 711
7
--------
1
4. Bring down the next digit of the dividend (1) and add it to the result from the previous step (1):
1) 711
7
--------
11
5. Divide the new number (11) by the divisor (1) and write the quotient above the division symbol:
1) 711
7
--------
11
11
6. Multiply the new quotient (1) by the divisor (1) and subtract the result from the previous step:
1) 711
7
--------
11
11
---------
0
7. Since the result is 0 and there are no more digits to bring down, the long division is complete.
Therefore, 711 as a decimal is written as 711.
Use long division to convert 415 to a decimal
To use long division to convert 415 to a decimal, we can follow these steps:
1. Set up the long division equation with 415 as the dividend and 1 as the divisor:
1) 415
2. Begin dividing by starting with the first digit of the dividend (4). Divide 4 by 1 and write the quotient above the division symbol:
1) 415
4
3. Multiply the quotient (4) by the divisor (1) and subtract the result from the dividend:
1) 415
4
-----
35
4. Bring down the next digit of the dividend (1) and add it to the result from the previous step (35):
1) 415
4
-----
35
1
5. Divide the new number (31) by the divisor (1) and write the quotient above the division symbol:
1) 415
4
-----
35
1
----
6. Repeat steps 3 to 5 until all the digits of the dividend have been used:
1) 415
4
-----
35
1
-----
15
12
-----
3
7. Since there are no more digits to bring down, the long division is complete.
Therefore, 415 as a decimal is written as 415.
To convert 711 to a decimal using long division, follow these steps:
1. Divide 711 by the desired decimal place value. Let's start with 1, which represents the ones place. Write the quotient above the division symbol.
___
1 | 711
7
2. Since 1 cannot evenly divide into 7, bring down the next digit from the original number. In this case, it is 1.
___
1 | 711
7
---
11
3. Divide 11 by 1, which gives you 11. Write the quotient above the line.
___
1 | 711
7
---
11
11
4. Repeat the process by bringing down the next digit from the original number. In this case, it is 1 again.
___
1 | 711
7
---
111
11
5. Divide 11 by 1 again, which gives you 11. Write the quotient above the line.
___
1 | 711
7
---
111
11
11
6. Continue this process until you reach the desired level of accuracy or until the division repeats or ends. In this case, the division repeats after the third step (where we divided 11 by 1), indicating that the decimal representation of 711 is recurring.
Therefore, 711 as a decimal using long division is approximately 711.111...
Note: In this case, since the division repeats, we represent it as 711.111..., where the digits after the decimal point repeat indefinitely.