Use long division to convert 338 to a decimal.(1 point)
Responses
2.66
2.66
33.75
33.75
3.375
3.375
0.375
0.375
3.38
To convert 338 to a decimal using long division, you would divide 338 by 100.
Here's the step-by-step process:
1. Place 338 as the dividend inside the long division bracket, and place 100 as the divisor outside the bracket.
______
100| 338
2. Divide the first digit of the dividend (3) by the divisor (100). The result is 3. Write this above the line.
3
______
100| 338
3. Multiply the divisor (100) by the quotient (3) and subtract the result from the dividend (338). Write the subtraction result below the line.
3
______
100| 338
-300
38
4. Bring down the next digit of the dividend (8) and place it next to the current remainder (38).
3. . .
______
100| 338
-300
-----
38
5. Divide the new number (38) by the divisor (100). The result is 0. Write this above the line.
3. 0
______
100| 338
-300
-----
38
6. Multiply the divisor (100) by the new quotient (0) and subtract the result from the previous remainder (38). Write the subtraction result below the line.
3. 0
______
100| 338
-300
-----
38
-0
38
7. Since there are no more digits to bring down, the division process is complete. The final remainder is 38.
To express this as a decimal, simply write the quotient followed by a decimal point and then the remainder divided by the original divisor.
In this case, the decimal representation of 338 would be 3.38.