Use long division to convert 345 to a decimal.
To convert 345 to a decimal using long division, we can divide 345 by 1000 since there are 3 decimal places in 345.
_______
1000 | 345
We start by dividing 3 by 1, which gives us 3. We write the quotient above the division bar.
_______
1000 | 345
3
Next, we multiply the divisor (1000) by the quotient (3) and subtract the result (3000) from the dividend (345).
_______
1000 | 345
3
-3000
-----
45
Since the resulting value (45) is smaller than the divisor (1000), we bring down the next digit (0) from the dividend.
_______
1000 | 345
3
-3000
-----
450
We divide 45 by 100, which gives us 0.45. We write the quotient above the division bar.
_______
1000 | 345
3
-3000
-----
450
0
The result of dividing 345 by 1000 using long division is 0.345. Therefore, 345 as a decimal is 0.345.
To convert 345 to a decimal using long division, follow these steps:
Step 1: Set up the division problem by placing 345 as the dividend and the divisor is 1000 (since we want to convert to a decimal).
```
_______
1000 | 345
```
Step 2: Divide the first digit of the dividend by the divisor (1000). In this case, divide 3 by 1.
```
_______
1000 | 345
3
```
Step 3: Multiply the quotient obtained in Step 2 by the divisor (1000) and subtract it from the original dividend.
```
_______
1000 | 345
-3000
------
450
```
Step 4: Bring down the next digit of the dividend (4) and divide it by the divisor (1000).
```
_______
1000 | 345
-3000
------
450
4000
```
Step 5: Multiply the new quotient (0.45) by the divisor (1000) and subtract it from the previous result.
```
_______
1000 | 345
-3000
------
450
4000
-4500
------
0
```
Step 6: Since there are no more digits to bring down, the division is complete. The quotient is 0.345.
Therefore, 345 can be expressed as a decimal as 0.345.
To convert the whole number 345 to a decimal, we can use long division. Here's how you can do it:
1. Start by writing 345 as the dividend (the number being divided).
2. Choose a number to be the divisor. Since we want to convert to a decimal, we'll start with 10.
3. Divide the first digit of the dividend (3) by the divisor (10). The result is 0 with a remainder of 3.
4. Bring down the next digit (4) and divide it by the divisor (10). The result is 0 with a remainder of 4.
5. Bring down the last digit (5) and divide it by the divisor (10). The result is 0 with a remainder of 5.
6. Since there are no more digits to bring down, we have our final result: 0.345.
So, 345 as a decimal is 0.345.