Use long division to convert 338 to a decimal.(1 point)
Responses
0.375
0.375
3.375
3.375
33.75
33.75
2.66
that is wrong
using long division convert 3 3/8 to a decimal
0.375
3.375
2.66
33.75
To convert 338 to a decimal using long division, you divide 338 by 10.
Starting with the first digit, we divide 3 by 10. Since 3 is smaller than 10, the result is 0.
Next, bring down the next digit, which is 3, and divide 33 by 10. The result is 3.
Continue this process until there are no more digits remaining.
The final result is 338 ÷ 10 = 33.8, which can be written as 33.8 in decimal form.
To convert 338 to a decimal using long division, follow these steps:
1. Write the number 338 as the dividend.
2. Choose a divisor. In this case, let's use 1000 since we want to convert to a decimal with three decimal places.
3. Divide 338 by 1000. The quotient will be the whole number part of the decimal, and the remainder will be used to calculate the decimal part.
- 338 ÷ 1000 = 0 remainder 338
4. Bring down the first decimal place from the dividend to the right of the remainder.
- Bring down the 0 from 338 to the right of the 338.
5. Add a decimal point after the quotient and divide the new number by the divisor.
- 338 ÷ 1000 = 0.338 remainder 0
6. Continue this process until you have enough decimal places or until you reach zero remainder.
- Since we want the answer to 3 decimal places, we divide by 1000 two more times. The decimal part will be the quotient after each division.
- 338 ÷ 1000 = 0.338 remainder 0
- 0 ÷ 1000 = 0 remainder 0
- 0 ÷ 1000 = 0 remainder 0
7. The final decimal is the quotient obtained after these divisions.
- The decimal part is 0.338
8. Combine the whole number part and the decimal part to get the complete decimal.
- The complete decimal is 338.338