Use long division to convert 29 to a decimal. Your approximation should have one decimal place.
To convert 29 to a decimal using long division, divide 29 by 10.
2.9
_______
10 | 29
First, divide 10 into 29, which results in 2.
2.9
_______
10 | 29
20
_______
9
Next, bring down the next digit, which is 0, to form 90. Now divide 10 into 90, which results in 9.
2.9
_______
10 | 29
20
_______
90
90
_______
0
Since there is no remainder, we have successfully converted 29 to the decimal 2.9 using long division.
To convert 29 to a decimal using long division with one decimal place, follow these steps:
1. Start by setting up the long division problem with 29 as the dividend and 1 as the divisor:
___
1 | 29
2. Divide 1 into the first digit of 29 (which is 2). The result is 2, so write it above the line:
2__
1 | 29
3. Multiply the divisor (1) by the quotient (2) and subtract the result from the dividend (29):
- Multiply 1 by 2: 1 * 2 = 2
- Subtract 2 from 29: 29 - 2 = 27
2__
1 | 29
-2
-----
27
4. Bring down the next digit of the dividend (which is 9):
27
2__
1 | 29
-2
-----
27
5. Divide 1 into the new number (27). The result is 27, so write it above the line:
27
2__
1 | 29
-2
-----
27
6. Multiply the divisor (1) by the quotient (27) and subtract the result from the previous remainder (27):
- Multiply 1 by 27: 1 * 27 = 27
- Subtract 27 from 27: 27 - 27 = 0
27
2__
1 | 29
-2
-----
27
-27
-----
0
Since the remainder is now 0, we can conclude that 29 divided by 1 equals 27. The decimal approximation of 29 is 27.0.