Question

Use long division to convert 13/20

to a decimal.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert 13/20 to a decimal using long division, follow these steps:

1. Set up the long division problem with 13 as the dividend and 20 as the divisor:
```
0.65
------
20 | 13
```
2. Divide the first digit of the dividend (1) by the divisor (20). Write the result (0) above the long division symbol and multiply it by the divisor (20). Write the product (0) below the dividend:
```
0.65
------
20 | 13
0
```
3. Subtract the product from the first digit of the dividend: 1 - 0 = 1. Bring down the next digit of the dividend (3) next to the result of step 2:
```
0.65
------
20 | 13
0
-----
13
```
4. Divide the new dividend (13) by the divisor (20). Write the result (0) above the division symbol, and multiply it by the divisor (20). Write the product (0) below the dividend:
```
0.65
------
20 | 13
0
-----
13
0
```
5. Subtract the product from the new dividend: 13 - 0 = 13. Bring down any remaining digits (if any) next to the result of step 4:
```
0.65
------
20 | 13
0
-----
13
0
-----
```
6. Divide the new dividend (130) by the divisor (20). Write the result (6) above the division symbol, and multiply it by the divisor (20). Write the product (120) below the dividend:
```
0.65
------
20 | 13
0
-----
13
0
-----
130
120
```
7. Subtract the product from the new dividend: 130 - 120 = 10. Bring down any remaining digits (if any) next to the result of step 6:
```
0.65
------
20 | 13
0
-----
13
0
-----
130
120
-----
10
```
8. Divide the new dividend (10) by the divisor (20). Write the result (0) above the division symbol, and multiply it by the divisor (20). Write the product (0) below the dividend:
```
0.65
------
20 | 13
0
-----
13
0
-----
130
120
-----
10
0
```
9. Since the new dividend (10) is smaller than the divisor (20), we have reached the end of the long division process. The quotient is the result we obtained above the division symbol, which is 0.65.

Therefore, 13/20 as a decimal is 0.65.

Answer 2

Use long division to convert 2/9

to a decimal. Your approximation should have one decimal place.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To convert 2/9 to a decimal using long division, follow these steps:

1. Set up the long division problem with 2 as the dividend and 9 as the divisor:
```
0.2
------
9 | 2
```
2. Divide the first digit of the dividend (2) by the divisor (9). Write the result (0) above the long division symbol and multiply it by the divisor (9). Write the product (0) below the dividend:
```
0.2
------
9 | 2
0
```
3. Subtract the product from the first digit of the dividend: 2 - 0 = 2. Bring down the next digit of the dividend (0) next to the result of step 2:
```
0.2
------
9 | 2
0
-----
20
```
4. Divide the new dividend (20) by the divisor (9). Write the result (2) above the division symbol, and multiply it by the divisor (9). Write the product (18) below the dividend:
```
0.2
------
9 | 2
0
-----
20
18
```
5. Subtract the product from the new dividend: 20 - 18 = 2. Bring down any remaining digits (if any) next to the result of step 4:
```
0.2
------
9 | 2
0
-----
20
18
-----
2
```
6. Divide the new dividend (2) by the divisor (9). Write the result (0) above the division symbol, and multiply it by the divisor (9). Write the product (0) below the dividend:
```
0.2
------
9 | 2
0
-----
20
18
-----
2
0
```
7. Since the new dividend (2) is smaller than the divisor (9), we have reached the end of the long division process. The quotient is the result we obtained above the division symbol, which is 0.2.

Therefore, 2/9 as a decimal, rounded to one decimal place, is approximately 0.2.

Answer 4

Use long division to convert 11/20

to a decimal.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To convert 11/20 to a decimal using long division, follow these steps:

1. Set up the long division problem with 11 as the dividend and 20 as the divisor:
```
0.55
------
20 | 11
```
2. Divide the first digit of the dividend (1) by the divisor (20). Write the result (0) above the long division symbol and multiply it by the divisor (20). Write the product (0) below the dividend:
```
0.55
------
20 | 11
0
```
3. Subtract the product from the first digit of the dividend: 1 - 0 = 1. Bring down the next digit of the dividend (1) next to the result of step 2:
```
0.55
------
20 | 11
0
-----
11
```
4. Divide the new dividend (11) by the divisor (20). Write the result (0) above the division symbol, and multiply it by the divisor (20). Write the product (0) below the dividend:
```
0.55
------
20 | 11
0
-----
11
0
```
5. Subtract the product from the new dividend: 11 - 0 = 11. Bring down any remaining digits (if any) next to the result of step 4:
```
0.55
------
20 | 11
0
-----
11
0
-----
```
6. Divide the new dividend (110) by the divisor (20). Write the result (5) above the division symbol, and multiply it by the divisor (20). Write the product (100) below the dividend:
```
0.55
------
20 | 11
0
-----
11
0
-----
110
100
```
7. Subtract the product from the new dividend: 110 - 100 = 10. Bring down any remaining digits (if any) next to the result of step 6:
```
0.55
------
20 | 11
0
-----
11
0
-----
110
100
-----
10
```
8. Divide the new dividend (10) by the divisor (20). Since the dividend is smaller than the divisor, we add a decimal point to the result obtained so far (0.55) and bring down a zero to continue the division:
```
0.55
------
20 | 11
0
-----
11
0
-----
110
100
-----
10
0
```

Since we have reached a new dividend (10) that is smaller than the divisor (20), we can conclude the long division process. The quotient is the result obtained above the division symbol, which is 0.55.

Therefore, 11/20 as a decimal is 0.55.

Answer 6

Use long division to convert 29

to a decimal. Your approximation should have one decimal place.

Answer 7

Use long division to convert 2/9

to a decimal. Your approximation should have one decimal place.