Use long division to convert 316 to a decimal.
To convert the number 316 to a decimal, we can perform long division as follows:
316 | 0
316
-----
0
We start by dividing 316 by 10 (a single digit number). The quotient is 31, which is greater than 10, so we proceed to divide by 100 (a two-digit number). The quotient is still 31, which is greater than 100, so we continue dividing by 1000 (a three-digit number). The quotient remains 31.
Since the quotient remains the same after each division, we can conclude that 316 as a decimal is simply 316.
Use long division to convert 1120 to a decimal.
To convert the number 1120 to a decimal, we can perform long division as follows:
1120 | 0
1120
-----
0
We start by dividing 1120 by 10 (a single digit number). The quotient is 112, which is greater than 10, so we proceed to divide by 100 (a two-digit number). The quotient is 11, which is still greater than 10, so we continue dividing by 1000 (a three-digit number). The quotient remains 11.
Since the quotient remains the same after each division, we can conclude that 1120 as a decimal is simply 1120.
Use long division to convert 11/20 to a decimal.
To convert the fraction 11/20 to a decimal, we perform long division as follows:
0.55 | 11
- 10
--
1
We start by dividing 11 by 20. The quotient is 0.55, which means that 11/20 as a decimal is 0.55.
To convert 316 to a decimal using long division, follow these steps:
Step 1: Write down 316 as the dividend (the number to be divided).
______
316 |
Step 2: Since we are converting to a decimal, we need to add a decimal point to the dividend. So, rewrite the dividend as 316.0.
______
316.0 |
Step 3: Now, we need to choose a divisor. Let's choose 10 as the divisor since we want to convert to a decimal.
______
316.0 | 10
Step 4: Think about how many times 10 goes into 31. The answer is 3. Write this above the line.
3
______
316.0 | 10
Step 5: Multiply the quotient (3) by the divisor (10) and write the result below 316.
3
______
316.0 | 10
- 30
Step 6: Subtract the result from step 5 from the bottom number.
3
______
316.0 | 10
- 30
-----
16
Step 7: Bring down the next digit of the dividend (the 6).
3.6
______
316.0 | 10
- 30
-----
16
Step 8: Divide the new number (16) by the divisor (10) and write the quotient as the next digit above the line.
3.61
______
316.0 | 10
- 30
-----
16
- 10
Step 9: Repeat steps 5-8 until you have obtained the desired accuracy or until there are no more decimal places in the dividend.
3.161
______
316.0 | 10
- 30
-----
16
- 10
-----
60
- 60
------
0
Step 10: Since the result is zero, we have finished dividing and the decimal form of 316 is 3.161.
Therefore, 316 is equal to 3.161 in its decimal form.
To convert 316 to a decimal using long division, follow these steps:
1. Set up the division problem: Write down the number 316 inside the division bracket (÷) with a decimal point after it, and place a 1 under the horizontal division line. It should look like this:
. |3 1 6
—————
1 |
2. Divide the dividend by the divisor: Divide 3 by 1, which gives you 3. Write the quotient (3) above the horizontal line, directly above the 6 in 316:
. 3
—————
1 | 3 1 6
3
3. Multiply the divisor by the quotient: Multiply 1 by 3, which gives you 3. Write this product below the 316:
. 3
—————
1 | 3 1 6
3
—————
4. Subtract the product from the dividend: Subtract 3 from 3, which gives you 0. Write the result below the line:
. 3
—————
1 | 3 1 6
-3
—————
0
5. Bring down the next digit: Bring down the next digit from the dividend, which is 1. Write it next to the 0:
. 3
—————
1 | 3 1 6
-3
—————
10
6. Repeat steps 2-5: Repeat steps 2-5 by dividing 10 by 1, which gives you 10 as the quotient. Multiply 1 by 10 to get 10. Subtract 10 from 10 to get 0. Bring down the next digit, which is 6. Repeat the process until you have enough decimal places or until the remainder is 0.
. 3 1
—————
1 | 3 1 6
-3 0
10
-10
0
7. Write the final answer: Once the remainder is 0, you have converted 316 to a decimal. The quotient you obtained from each step represents the decimal places. In this case, the final answer is 316 ÷ 1 = 316.
Therefore, 316 as a decimal is simply 316.