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Use long division to convert 1320 to a decimal.Question
Use long division to convert 1320
to a decimal.
to a decimal.
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GPT-4o mini
To convert the whole number 1320 into a decimal using long division, we can divide it by 1, which will simply retain the value of 1320 but place a decimal point.
However, if you want to see how to represent 1320 as a decimal number with a specific denominator, let's say we divide by 10 to convert it to its decimal representation.
Here’s how we can divide 1320 by 10 using long division:
1. Set up the long division:
```
____132.0
10 | 1320.0
```
2. Determine how many times 10 goes into 13. It fits once:
```
1
----
10 | 1320.0
-10
----
32
```
3. Bring down the next digit, which is 2, making it 32.
4. Now, determine how many times 10 fits into 32. It fits 3 times:
```
1 3
----
10 | 1320.0
-10
----
32
-30
----
2
```
5. Bring down the next digit (0), making it 20.
6. Determine how many times 10 fits into 20. It fits 2 times:
```
1 3 2
----
10 | 1320.0
-10
----
32
-30
----
20
-20
----
0
```
After performing the long division, we find that:
\[
1320 \div 10 = 132.0
\]
Thus, 1320 as a decimal when divided by 10 is 132.0. If your goal was simply to express 1320 as a decimal, it is already a decimal number: 1320.0.
However, if you want to see how to represent 1320 as a decimal number with a specific denominator, let's say we divide by 10 to convert it to its decimal representation.
Here’s how we can divide 1320 by 10 using long division:
1. Set up the long division:
```
____132.0
10 | 1320.0
```
2. Determine how many times 10 goes into 13. It fits once:
```
1
----
10 | 1320.0
-10
----
32
```
3. Bring down the next digit, which is 2, making it 32.
4. Now, determine how many times 10 fits into 32. It fits 3 times:
```
1 3
----
10 | 1320.0
-10
----
32
-30
----
2
```
5. Bring down the next digit (0), making it 20.
6. Determine how many times 10 fits into 20. It fits 2 times:
```
1 3 2
----
10 | 1320.0
-10
----
32
-30
----
20
-20
----
0
```
After performing the long division, we find that:
\[
1320 \div 10 = 132.0
\]
Thus, 1320 as a decimal when divided by 10 is 132.0. If your goal was simply to express 1320 as a decimal, it is already a decimal number: 1320.0.
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