how do u Use long division to convert 316 to a decimal.
To convert 316 to a decimal using long division, follow these steps:
1. Write 316 as the dividend (the number being divided) and 1 as the divisor (the number dividing the dividend).
316 ÷ 1
2. Start dividing the dividend by the divisor by asking:
- How many times does 1 go into 3? The answer is 3.
- Multiply 1 by 3 and write it under the 3: 3 × 1 = 3.
- Subtract 3 from 3, and write the result below the line: 3 - 3 = 0.
3
______
1 | 316
3
______
3. Bring down the next digit from the dividend, which is 1, and write it next to the previous remainder (which is 0):
3
______
1 | 316
3 1
______
4. Ask how many times does 1 go into 31? The answer is 31.
- Multiply 1 by 31 and write it below the 31: 31 × 1 = 31.
- Subtract 31 from 31, and write the result below the line: 31 - 31 = 0.
3 1
______
1 | 316
3 1
______
5. Since there are no more digits remaining in the dividend, the division ends.
The final result is 316 as a decimal: 316.
Use long division to convert 3/16 to a decimal.
To convert 3/16 to a decimal using long division, follow these steps:
1. Write 3 as the dividend (the number being divided) and 16 as the divisor (the number dividing the dividend).
3 ÷ 16
2. Place a decimal point above the division line in the quotient (the answer) if there isn't one already:
3. ÷ 16
3. Multiply the divisor (16) by a number that makes the result as close to the dividend (3) as possible without exceeding it. The answer is 0 since 16 is greater than 3.
0 × 16 = 0
4. Write 0 below the line and subtract it from 3:
3 - 0 = 3
0
------
3 ÷ 16
- 0
5. Bring down the next digit, which is 0, and write it after the 3:
30 ÷ 16
6. Repeat step 3. Multiply 16 by a number that makes the result as close to 30 as possible without exceeding it. The answer is 1 since 16 × 2 = 32, which exceeds 30.
1 × 16 = 16
7. Write 16 below the line and subtract it from 30:
30 - 16 = 14
0. 1
------
30 ÷ 16
- 16
------
14
8. Bring down the next digit, which is 0, and write it after the 14:
140 ÷ 16
9. Repeat step 3. Multiply 16 by a number that makes the result as close to 140 as possible without exceeding it. The answer is 8 since 16 × 9 = 144, which exceeds 140.
8 × 16 = 128
10. Write 128 below the line and subtract it from 140:
140 - 128 = 12
0.18
------
140 ÷ 16
- 128
------
12
11. Bring down the next digit, which is 0, and write it after the 12:
120 ÷ 16
12. Repeat step 3. Multiply 16 by a number that makes the result as close to 120 as possible without exceeding it. The answer is 7 since 16 × 8 = 128, which exceeds 120.
7 × 16 = 112
13. Write 112 below the line and subtract it from 120:
120 - 112 = 8
0.187
------
120 ÷ 16
- 112
------
8
14. Bring down the next digit, which is 0, and write it after the 8:
80 ÷ 16
15. Repeat step 3. Multiply 16 by a number that makes the result as close to 80 as possible without exceeding it. The answer is 5 since 16 × 6 = 96, which exceeds 80.
5 × 16 = 80
16. Write 80 below the line and subtract it from 80:
80 - 80 = 0
0.1875
------
80 ÷ 16
- 80
------
0
17. Since there is no remainder and no more digits to bring down, the division ends.
The final result is 3/16 as a decimal: 0.1875
To convert 316 to a decimal using long division, you can follow these steps:
Step 1: Write 316 as the dividend (the number being divided).
Step 2: Write the number you want to divide by (the divisor) as the first digit of the quotient (the answer).
In this case, let's divide by 1,000, which moves the decimal point three places to the left.
So the quotient starts off with "0.____" (the decimal point followed by the first digit of the quotient).
Step 3: Divide the first digit of the dividend by the divisor.
In this case, divide 3 (from 316) by 1,000.
Since 3 ÷ 1,000 = 0.003, write 0.003 as the next digit of the quotient.
Step 4: Multiply the divisor (1,000) by the last digit of the quotient (0.003), and subtract the result from the dividend.
In this case, multiply 1,000 by 0.003, which equals 3.
Subtracting 3 from 316 gives you a new dividend of 313.
Step 5: Bring down the next digit of the dividend.
In this case, bring down the 1 from 313.
Now the new dividend is 131.
Step 6: Divide the new dividend (131) by the divisor (1,000).
Since 131 ÷ 1,000 = 0.131, write 0.131 as the next digit of the quotient.
Step 7: Repeat steps 4, 5, and 6 until you have the desired level of precision or until the division is complete.
In this case, you can stop now since the division is complete (the dividend is 131, which is less than the divisor 1,000).
The final quotient is 0.003131.
Therefore, 316, when converted to a decimal using long division, is equal to 0.003131.