Use long division to convert 415 to a decimal.
To convert 415 to a decimal using long division, divide 415 by 1000 (since there are three decimal places in 415). Here is the step-by-step process:
0.415
______________
1000 | 415.000
- 4000
_______
15.000
- 15.000
________
0.000
After dividing 415 by 1000, we get a quotient of 0.415, which is the decimal form of 415.
To convert 415 to a decimal using long division, follow these steps:
Step 1: Write down the number you want to convert (415) as the numerator of your long division problem.
_____
415 |
Step 2: Choose a denominator to divide by. In this case, let's choose 10.
_____
415 | 10
Step 3: Divide the first digit of the numerator (4) by the denominator (10). Write your quotient above the line, and write the remainder next to the next digit.
4
_____
415 | 10
Step 4: Multiply the denominator (10) by the quotient (4), and subtract it from the numerator (415). Write the result below the line.
4
_____
415 | 10
-40
40
Step 5: Bring down the next digit from the numerator (5).
42
_____
415 | 10
-40
40
415
Step 6: Divide this new number (402) by the denominator (10), and repeat steps 3 to 5 until you have achieved the desired level of accuracy. Keep bringing down digits from the numerator until you either run out of digits or reach the desired level of accuracy.
42.5
_____
415 | 10
-40
40
35
--
So, 415 as a decimal is approximately 42.5.
To convert 415 to a decimal using long division, follow these steps:
Step 1: Write the number to be converted (415) as the dividend inside the long division symbol. In the example, this should look like:
______
415|
Step 2: Determine the divisor, which is the decimal form you want to convert the number to. Since you want to convert to a decimal, the divisor will be 1.
Step 3: Perform the long division. Divide the dividend (415) by the divisor (1) as you would normally do in long division. Start with the first digit of the dividend, which is 4:
______
415| 4
Divide 4 by 1: 4 ÷ 1 = 4
Write the quotient (4) above the long division symbol.
Step 4: Multiply the divisor (1) by the quotient (4), and subtract the result from the dividend (415):
______
415| 4
- 4
Subtract: 415 - 4 = 411
Write the result (411) underneath the line.
Step 5: Bring down the next number from the dividend. In this case, it is 1:
______
415| 41
- 4
Bring down: 1
Step 6: Repeat steps 3 to 5 until you have gone through all the digits or until the division terminates (if there is a repeating pattern). In this case, there are no more digits in the dividend, so the division terminates.
______
415| 415
- 4
_____
1
Step 7: Write the decimal form of the quotient. The decimal form is obtained by placing a decimal point after the 4 in the quotient. In this example, the decimal form is 4.1.
Therefore, the decimal form of 415 is 4.1.