Use long division to convert 27/50 to a decimal.(1 point)
Responses
To convert 27/50 to a decimal using long division, follow these steps:
1. Set up the division problem: Place the divisor (50) outside the division symbol and the dividend (27) inside the division symbol.
_______
50 | 27
2. Divide the first digit of the dividend (2) by the divisor (50). If necessary, add a decimal point to the quotient above.
.5
_______
50 | 27
3. Multiply the divisor (50) by the quotient (0.5) and subtract the result from the dividend (27). Place the remainder (27 - 25 = 2) next to the next digit, which is 7, from the dividend.
.5
_______
50 | 27
-25
4. Bring down the next digit from the dividend (7) and place it next to the remainder (2) to form the new dividend (27).
.54
_______
50 | 27
-25
2
5. Repeat steps 2-4 until there are no more digits in the dividend.
.54
_______
50 | 27
-25
2
20
6. Divide the new dividend (20) by the divisor (50). The quotient is 0.4.
.54
_______
50 | 27
-25
2
20
- 20
7. Since there are no more digits in the dividend, the division process is complete. The final quotient is 0.54.
Therefore, 27/50 as a decimal is 0.54.
Here's how to convert 27/50 to a decimal using long division:
Step 1: Write 27 as the dividend and 50 as the divisor.
0
50 | 27
Step 2: Divide the first digit of the dividend (2) by the divisor (50). The result is 0 with a remainder of 27. Write the quotient (0) above the line.
0
50 | 27
0
Step 3: Bring down the next digit of the dividend (7) and place it next to the remainder (27) to form the new dividend (277).
0
50 | 27
0
------
27
----
Step 4: Divide the new dividend (277) by the divisor (50). The result is 5 with a remainder of 27. Write the quotient (5) above the line.
0
50 | 27
0
------
27
----
50
----
277
Step 5: Bring down the next digit of the dividend (0) and place it next to the remainder (27) to form the new dividend (270).
0
50 | 27
0
------
27
----
50
----
277
-----
Step 6: Divide the new dividend (270) by the divisor (50). The result is 5 with a remainder of 20. Write the quotient (5) above the line.
0
50 | 27
0
------
27
----
50
----
277
-----
250
Step 7: Bring down the next digit of the dividend (0). Since we have no digits left, the division is complete.
0
50 | 27
0
------
27
----
50
----
277
-----
250
----
Step 8: The remainder is 20, so we can express the fraction 27/50 as the decimal 0.54.
Therefore, 27/50 is equivalent to 0.54 when expressed as a decimal.