Question

Use long division to convert 11/20

to a decimal.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

1. Set up the division problem with the numerator (11) inside the long division symbol and the denominator (20) outside the division symbol, like this:

0.
20 ) 11

2. Divide the numerator (11) by the first digit of the denominator (20). In this case, 11 ÷ 2 = 5.

0.5
20 ) 11

3. Multiply the number you obtained in step 2 (5) by the denominator (20). In this case, 5 × 20 = 100.

_____
0.5
20 ) 11
- 10
____
10

4. Subtract the result from the numerator (11) by the product obtained in step 3 (100). In this case, 11 - 100 = -89.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89

5. Add a decimal point to the quotient obtained in step 2 (5). Then, bring down the next digit from the dividend (-89).

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80

6. Divide the new dividend (-89) by the denominator (20). In this case, -89 ÷ 20 = -4.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
____
- 90

7. Multiply the number you obtained in step 6 (-4) by the denominator (20). In this case, -4 × 20 = -80.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
______
- 90

8. Subtract the result from the dividend (-89) by the product obtained in step 7 (-80). In this case, -89 - (-80) = -9.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
_______
- 90
- 80
________
- 90
- 80
_________
- 10

9. Since the result of the subtraction is less than the denominator (20), divide the new dividend (-9) by the denominator (20) to get the next digit of the decimal. In this case, -9 ÷ 20 = 0.

________
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
_______
- 90
- 80
________
- 90
- 80
_________
- 10
_______
- 0.45

10. Continue the division process until the remainder (dividend) becomes zero or starts repeating. In this case, the remainder after step 9 is zero, so the final answer is 0.55.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

Step 1: Write down the fraction as a division problem. Place the dividend (11) inside the long division bracket and the divisor (20) outside the bracket:

________
20 ) 11

Step 2: Determine the quotient of the division. How many times does 20 go into 11? It goes zero times. So, write a zero as the quotient above the long division bracket:

0
________
20 ) 11

Step 3: Multiply the divisor (20) by the quotient (0) and write the result below the dividend:

0
________
20 ) 11
0

Step 4: Subtract the result from the dividend. Write the difference below the line:

0
________
20 ) 11
- 0
______
11

Step 5: Bring down the next digit of the dividend (if any). In this case, there are no more digits, so we can stop here.

Step 6: Since there are no more digits to bring down, the division process stops. The quotient is 0, and the remainder is 11.

Therefore, 11/20 as a decimal is 0.55.