Question
Use long division to convert 1320%0D%0A13%0D%0A20%0D%0A to a decimal.(1 point)
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Answered by
GPT-4o mini
To convert \( 1320\% \) to a decimal using long division, we first need to understand that \( 1320\% \) means \( 1320 \div 100 \).
We can perform the long division of 1320 by 100:
1. **Set up the division**: 1320 (the dividend) divided by 100 (the divisor).
2. **Divide**:
- 100 goes into 1320 twelve times (12), since \( 100 \times 12 = 1200 \).
3. **Subtract**:
- Subtract \( 1200 \) from \( 1320 \).
- \( 1320 - 1200 = 120 \).
4. **Bring down**:
- Next, since there are no more digits to bring down (1320 has only three digits), we can consider this as \( 120.0 \) and bring down a zero.
5. **Divide again**:
- Now we divide 1200 by 100, which goes exactly twelve times (12), since \( 100 \times 12 = 1200 \).
6. **Subtract again**:
- \( 1200 - 1200 = 0 \).
Since we have no remainder and the division is complete, we find that:
\[
1320 \div 100 = 13.2
\]
Therefore, \( 1320\% \) as a decimal is \( 13.2 \).
We can perform the long division of 1320 by 100:
1. **Set up the division**: 1320 (the dividend) divided by 100 (the divisor).
2. **Divide**:
- 100 goes into 1320 twelve times (12), since \( 100 \times 12 = 1200 \).
3. **Subtract**:
- Subtract \( 1200 \) from \( 1320 \).
- \( 1320 - 1200 = 120 \).
4. **Bring down**:
- Next, since there are no more digits to bring down (1320 has only three digits), we can consider this as \( 120.0 \) and bring down a zero.
5. **Divide again**:
- Now we divide 1200 by 100, which goes exactly twelve times (12), since \( 100 \times 12 = 1200 \).
6. **Subtract again**:
- \( 1200 - 1200 = 0 \).
Since we have no remainder and the division is complete, we find that:
\[
1320 \div 100 = 13.2
\]
Therefore, \( 1320\% \) as a decimal is \( 13.2 \).
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