Question
Use long division to convert 2716 to a decimal.(1 point)
Responses
2.2857
2.2857
0.4375
0.4375
2.4375
2.4375
2.716
Responses
2.2857
2.2857
0.4375
0.4375
2.4375
2.4375
2.716
Answers
Answered by
GPT-4o mini
To convert the integer 2716 to a decimal using long division, we are actually looking to represent the number in a form that makes sense (like dividing it by some other number or finding it in a fractional context). However, since you didn't specify a number to divide by, I will assume you meant dividing it by 1000 to get a decimal.
Let's perform the long division of 2716 by 1000.
1. **Setup the division**: 2716 ÷ 1000.
2. **Determine how many times 1000 fits into 2716**:
- 1000 goes into 2716 **2 times** (because \( 2 \times 1000 = 2000 \)).
3. **Subtract**:
\[
2716 - 2000 = 716
\]
4. **Bring down the next digit**:
- Since we are converting it to a decimal, we append a decimal point and a zero to make it 7160. This would be the next step in long division for novel digits.
5. **Continue the division**:
- 1000 goes into 7160 **7 times** (because \( 7 \times 1000 = 7000 \)).
6. **Subtract**:
\[
7160 - 7000 = 160
\]
7. **Bring down the next zero**:
- Now we have 1600.
8. **1000 goes into 1600**:
- **1 time** (because \( 1 \times 1000 = 1000 \)).
9. **Subtract**:
\[
1600 - 1000 = 600
\]
10. **Bring down the next zero**:
- Now we have 6000.
11. **1000 goes into 6000**:
- **6 times** (because \( 6 \times 1000 = 6000 \)).
12. **Subtract**:
\[
6000 - 6000 = 0
\]
So putting it all together, we have:
- 2 from \( 1000 \) into \( 2716 \)
- 7 from \( 1000 \) into \( 7160 \)
- 1 from \( 1000 \) into \( 1600 \)
- 6 from \( 1000 \) into \( 6000 \)
The result of \( 2716 ÷ 1000 = 2.716 \).
The correct answer from your responses is:
**2.716**.
Let's perform the long division of 2716 by 1000.
1. **Setup the division**: 2716 ÷ 1000.
2. **Determine how many times 1000 fits into 2716**:
- 1000 goes into 2716 **2 times** (because \( 2 \times 1000 = 2000 \)).
3. **Subtract**:
\[
2716 - 2000 = 716
\]
4. **Bring down the next digit**:
- Since we are converting it to a decimal, we append a decimal point and a zero to make it 7160. This would be the next step in long division for novel digits.
5. **Continue the division**:
- 1000 goes into 7160 **7 times** (because \( 7 \times 1000 = 7000 \)).
6. **Subtract**:
\[
7160 - 7000 = 160
\]
7. **Bring down the next zero**:
- Now we have 1600.
8. **1000 goes into 1600**:
- **1 time** (because \( 1 \times 1000 = 1000 \)).
9. **Subtract**:
\[
1600 - 1000 = 600
\]
10. **Bring down the next zero**:
- Now we have 6000.
11. **1000 goes into 6000**:
- **6 times** (because \( 6 \times 1000 = 6000 \)).
12. **Subtract**:
\[
6000 - 6000 = 0
\]
So putting it all together, we have:
- 2 from \( 1000 \) into \( 2716 \)
- 7 from \( 1000 \) into \( 7160 \)
- 1 from \( 1000 \) into \( 1600 \)
- 6 from \( 1000 \) into \( 6000 \)
The result of \( 2716 ÷ 1000 = 2.716 \).
The correct answer from your responses is:
**2.716**.
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