Use long division to convert 345 to a decimal.

1 answer

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.