Question

Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)

Answer 1

Use long division to convert 27/50 to a decimal.(1 point)

Answer 2

Use long division to convert 3 3/8 to a decimal.(1 point)

Answer 3

Use long division to convert 4/15 to a decimal.(1 point)

Answer 4

Use long division to convert 415 to a decimal.(1 point)
Responses
26

≈0.27
4.15

3.75

Answer 5

i meant 4/15

Answer 6

Use long division to convert 415 to a decimal.(1 point)
Responses

26
26

≈0.27

4.15
4.15

3.75

Answer 7

Use long division to convert 4/15 to a decimal.(1 point)
Responses

26
26

≈0.27


4.15
4.15

3.75

Answer 8

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

1. Set up the division problem: Write 2 as the dividend and 9 as the divisor.
__________
9 | 2

2. Divide the first digit of the dividend by the divisor: 2 ÷ 9 = 0.2.
__________
9 | 2.0

3. Multiply the divisor (9) by the quotient (0.2), and subtract the product from the dividend: 2 - (0.2 × 9) = 2 - 1.8 = 0.2.
__________
9 | 2.0
- 1.8

4. Bring down the next digit of the dividend (0 in this case) after the decimal point: 0.
__________
9 | 2.0
- 1.8
0

5. Divide the new dividend (0.2) by the divisor (9): 0.2 ÷ 9 = 0.022.
__________
9 | 2.0
- 1.8
0.2

6. Multiply the divisor (9) by the quotient (0.022), and subtract the product from the new dividend (0.2): 0.2 - (0.022 × 9) = 0.2 - 0.198 = 0.002.
__________
9 | 2.0
- 1.8
0.2
- 0.198

7. The remainder (0.002) is less than the divisor (9), so we stop here.

Therefore, 2/9 as a decimal approximation with one decimal place is approximately 0.2.

Answer 9

To convert 27/50 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 27 as the dividend and 50 as the divisor.
__________
50 | 27

2. Perform the division: Divide 27 by 50. The quotient is 0.54.
__________
50 | 0.54
- 0
270
- 250
20

3. Bring down the next digit of the dividend (0): 0.
__________
50 | 0.54
- 0
270
- 250
20
- 0

4. Divide the new dividend (20) by the divisor (50): 20 ÷ 50 = 0.4.
__________
50 | 0.54
- 0
270
- 250
20
- 0.4

5. Continue the process until you have the desired level of precision or until you notice a repeating pattern. In this case, we can see that the remainder of 20 is less than the divisor of 50.

Therefore, 27/50 as a decimal is approximately 0.54.

Answer 10

To convert 3 3/8 to a decimal using long division, follow these steps:

1. Rewrite 3 3/8 as an improper fraction: 3 3/8 = (3 * 8 + 3) / 8 = 27/8.

2. Set up the division problem: Write 27 as the dividend and 8 as the divisor.
__________
8 | 27

3. Perform the division: Divide 27 by 8. The quotient is 3.
__________
8 | 3
- 24
3

4. Bring down the next digit of the dividend (0): 0.
__________
8 | 3.375
- 24
3
- 0

5. Divide the new dividend (30) by the divisor (8): 30 ÷ 8 = 3.75.
__________
8 | 3.375
- 24
3
- 0.0
30
- 24
60
- 56
40
- 40

6. Continue the process until you have the desired level of precision or until you notice a repeating pattern. In this case, we can see that the remainder of 40 is less than the divisor of 8.

Therefore, 3 3/8 as a decimal is approximately 3.375.

Answer 11

To convert 4/15 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 4 as the dividend and 15 as the divisor.
__________
15 | 4

2. Since 4 is less than 15, we need to add a decimal point and a zero after it to continue the division process:
__________
15 | 0.4

3. Multiply the divisor (15) by the quotient you have so far (0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.4
- 0

4. Bring down the next digit of the dividend (0) after the decimal point: 0.0.
__________
15 | 0.4
- 0
4

5. Since we have no more digits to bring down from the dividend, we can add a zero after the decimal point and continue the division process:
__________
15 | 0.40

6. Multiply the divisor (15) by the quotient so far (0.0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.40
- 0

7. Bring down the next digit of the dividend (0) after the decimal point: 0.04.
__________
15 | 0.40
- 0
4

8. Divide the new dividend (0.04) by the divisor (15): 0.04 ÷ 15 = 0.0026667 (rounded to the desired level of precision).
__________
15 | 0.402
- 0
4
- 30
2

9. The remainder (2) is less than the divisor (15), so we stop here.

Therefore, 4/15 as a decimal approximation is approximately 0.267 (rounded to three decimal places).

Answer 12

To convert 415 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 415 as the dividend and 1 as the divisor.
__________
1 | 415

2. Perform the division: Divide 415 by 1. The quotient is 415.
__________
1 | 415
- 415

3. Bring down the next digit of the dividend (0): 0.
__________
1 | 415
- 415
0

4. Since we have no more digits to bring down from the dividend, we can stop here.

Therefore, 415 as a decimal is 415.

Answer 13

Apologies for the confusion. To convert 4/15 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 4 as the dividend and 15 as the divisor.
__________
15 | 4

2. Since 4 is less than 15, we need to add a decimal point and a zero after it to continue the division process:
__________
15 | 0.4

3. Multiply the divisor (15) by the quotient you have so far (0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.4
- 0

4. Bring down the next digit of the dividend (0) after the decimal point: 0.0.
__________
15 | 0.4
- 0
4

5. Multiply the divisor (15) by the quotient so far (0.0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.4
- 0
4

6. Bring down another zero after the decimal point: 0.00.
__________
15 | 0.4
- 0
4
- 0

7. Multiply the divisor (15) by the quotient so far (0.04) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0.04) = 3.4.
__________
15 | 0.4
- 0
4
- 3.75
25

8. Bring down another zero after the decimal point: 0.002.
__________
15 | 0.40
- 0
4
- 3.75
25
- 25

9. Divide the new dividend (0.002) by the divisor (15): 0.002 ÷ 15 = 0.0001333 (rounded to the desired level of precision).
__________
15 | 0.400
- 0
4
- 3.75
25
- 25
0
- 37
6

10. The remainder (6) is less than the divisor (15), so we stop here.

Therefore, 4/15 as a decimal approximation is approximately 0.267 (rounded to three decimal places).

Answer 14

To convert 415 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 415 as the dividend and 1 as the divisor.
__________
1 | 415

2. Perform the division: Divide 415 by 1. The quotient is 415.
__________
1 | 415
- 415

3. Bring down the next digit of the dividend (0): 0.
__________
1 | 415
- 415
0

4. Since we have no more digits to bring down from the dividend, we can stop here.

Therefore, 415 as a decimal is 415.

Answer 15

To convert 4/15 to a decimal using long division, follow these steps:

1. Set up the division problem: Write 4 as the dividend and 15 as the divisor.
__________
15 | 4

2. Since 4 is less than 15, we need to add a decimal point and a zero after it to continue the division process:
__________
15 | 0.4

3. Multiply the divisor (15) by the quotient you have so far (0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.4
- 0

4. Bring down the next digit of the dividend (0) after the decimal point: 0.0.
__________
15 | 0.4
- 0
4

5. Multiply the divisor (15) by the quotient so far (0.0) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0) = 4.
__________
15 | 0.4
- 0
4

6. Bring down another zero after the decimal point: 0.00.
__________
15 | 0.4
- 0
4
- 0

7. Multiply the divisor (15) by the quotient so far (0.04) to get the next partial quotient and subtract it from the dividend: 4 - (15 × 0.04) = 3.4.
__________
15 | 0.4
- 0
4
- 3.4
6

8. Bring down another zero after the decimal point: 0.002.
__________
15 | 0.40
- 0
4
- 3.4
6
- 6

9. Divide the new dividend (0.002) by the divisor (15): 0.002 ÷ 15 = 0.0001333 repeating (rounded to the desired level of precision).
__________
15 | 0.400
- 0
4
- 3.4
6
- 6
0

10. The remainder (0) is less than the divisor (15), so we stop here.

Therefore, 4/15 as a decimal approximation is approximately 0.267 (rounded to three decimal places).