To convert 316 to a decimal using long division, divide 316 by 1000.
Let's set up the long division:
0.│316
└──
316
────
Now starting from the leftmost digit of 316, which is 3, divide it by 1000. Since 3 is less than 1000, the result is 0. Therefore, we write 0 above the line.
0.0│316
└──
316
────
Next, bring down the next digit, which is 1. Now divide 31 by 1000. Again, since 31 is less than 1000, the result is still 0.
0.00│316
└──
316
────
Finally, bring down the last digit, which is 6. Now divide 316 by 1000. Since the decimal point is already in place, bring down the remaining zeros. The result is 0.316.
0.003│316
└──
316
────
316
300
──
160
-160
───
00
Thus, 316 converts to the decimal 0.316.
Use long division to convert 316 to a decimal.(1 point)
9 answers
Use long division to convert 3/16 to a decimal.(1 point)
To convert 3/16 to a decimal using long division, divide 3 by 16.
Let's set up the long division:
0.│3
└──
16
Now, bring down the next digit, which is 0. Divide 30 by 16. The result is 1 with a remainder of 14. Write the 1 above the line and the remainder (14) to the right of the line.
0.1│3
└──
16
-16
───
14
Next, bring down the next digit, which is 0. Divide 140 by 16. The result is 8 with a remainder of 8. Write the 8 above the line and the remainder (8) to the right of the line.
0.18│3
└──
16
-16
───
14
-8
───
60
Next, bring down the next digit, which is 0. Divide 80 by 16. The result is 5 with no remainder. Write the 5 above the line.
0.185│3
└──
16
-16
───
14
-8
───
60
-48
────
120
Since the remainder is now 0, the division process ends. The quotient is 0.1875.
Therefore, 3/16 as a decimal is 0.1875.
Let's set up the long division:
0.│3
└──
16
Now, bring down the next digit, which is 0. Divide 30 by 16. The result is 1 with a remainder of 14. Write the 1 above the line and the remainder (14) to the right of the line.
0.1│3
└──
16
-16
───
14
Next, bring down the next digit, which is 0. Divide 140 by 16. The result is 8 with a remainder of 8. Write the 8 above the line and the remainder (8) to the right of the line.
0.18│3
└──
16
-16
───
14
-8
───
60
Next, bring down the next digit, which is 0. Divide 80 by 16. The result is 5 with no remainder. Write the 5 above the line.
0.185│3
└──
16
-16
───
14
-8
───
60
-48
────
120
Since the remainder is now 0, the division process ends. The quotient is 0.1875.
Therefore, 3/16 as a decimal is 0.1875.
Use long division to convert 1120 to a decimal.(1 point)
To convert 1120 to a decimal using long division, divide 1120 by 10000.
Let's set up the long division:
0.│1120
└───
10000
────
Now starting from the leftmost digit of 1120, which is 1, divide it by 10000. Since 1 is less than 10000, the result is 0. Therefore, we write 0 above the line.
0.0│1120
└───
10000
────
Next, bring down the next digit, which is 1. Now divide 11 by 10000. Again, since 11 is less than 10000, the result is still 0.
0.00│1120
└───
10000
────
Next, bring down the next digit, which is 2. Now divide 112 by 10000. Again, since 112 is less than 10000, the result is still 0.
0.000│1120
└───
10000
────
Finally, bring down the last digit, which is 0. Now divide 1120 by 10000. Since the decimal point is already in place, bring down the remaining zeros. The result is 0.112.
0.112│1120
└───
10000
────
1120
1000
───
1200
-1120
────
8000
-8000
────
00
Thus, 1120 converts to the decimal 0.112.
Let's set up the long division:
0.│1120
└───
10000
────
Now starting from the leftmost digit of 1120, which is 1, divide it by 10000. Since 1 is less than 10000, the result is 0. Therefore, we write 0 above the line.
0.0│1120
└───
10000
────
Next, bring down the next digit, which is 1. Now divide 11 by 10000. Again, since 11 is less than 10000, the result is still 0.
0.00│1120
└───
10000
────
Next, bring down the next digit, which is 2. Now divide 112 by 10000. Again, since 112 is less than 10000, the result is still 0.
0.000│1120
└───
10000
────
Finally, bring down the last digit, which is 0. Now divide 1120 by 10000. Since the decimal point is already in place, bring down the remaining zeros. The result is 0.112.
0.112│1120
└───
10000
────
1120
1000
───
1200
-1120
────
8000
-8000
────
00
Thus, 1120 converts to the decimal 0.112.
Use long division to convert 11/20 to a decimal.(1 point)
To convert 11/20 to a decimal using long division, divide 11 by 20.
Let's set up the long division:
0.│55
└──
20
Now, bring down the next digit, which is 0. Divide 110 by 20. The result is 5 with a remainder of 10. Write the 5 above the line and the remainder (10) to the right of the line.
0.5│5
└──
20
-20
───
10
Next, bring down the next digit, which is 0. Divide 100 by 20. The result is 5 with no remainder. Write the 5 above the line.
0.55│5
└──
20
-20
───
10
-10
───
00
Since the remainder is now 0, the division process ends. The quotient is 0.55.
Therefore, 11/20 as a decimal is 0.55.
Let's set up the long division:
0.│55
└──
20
Now, bring down the next digit, which is 0. Divide 110 by 20. The result is 5 with a remainder of 10. Write the 5 above the line and the remainder (10) to the right of the line.
0.5│5
└──
20
-20
───
10
Next, bring down the next digit, which is 0. Divide 100 by 20. The result is 5 with no remainder. Write the 5 above the line.
0.55│5
└──
20
-20
───
10
-10
───
00
Since the remainder is now 0, the division process ends. The quotient is 0.55.
Therefore, 11/20 as a decimal is 0.55.
Use long division to convert 3 4/5 to a decimal.(1 point)
To convert 3 4/5 to a decimal using long division, we need to convert the mixed number to an improper fraction first.
3 4/5 can be written as (3 * 5 + 4) / 5.
So, (3 * 5 + 4) / 5 = (15 + 4) / 5 = 19/5.
Now, let's set up the long division:
3.│19
└──
5
Now, bring down the next digit, which is 0. Divide 190 by 5. The result is 38 with a remainder of 0. Write the 38 above the line.
3.38│19
└──
5
0
───
19
Since the remainder is 0, the division process ends.
Therefore, 3 4/5 as a decimal is 3.38.
3 4/5 can be written as (3 * 5 + 4) / 5.
So, (3 * 5 + 4) / 5 = (15 + 4) / 5 = 19/5.
Now, let's set up the long division:
3.│19
└──
5
Now, bring down the next digit, which is 0. Divide 190 by 5. The result is 38 with a remainder of 0. Write the 38 above the line.
3.38│19
└──
5
0
───
19
Since the remainder is 0, the division process ends.
Therefore, 3 4/5 as a decimal is 3.38.