To convert 2 to a decimal, we can use long division.
First, we set up the division problem by dividing 2 by 7/16:
0.
---------------
7/16) 2
We start by seeing how many times 7/16 goes into 2. Since 7/16 is less than 2, we know that it goes 0 times.
Next, we bring down the next digit from the dividend (2):
0.
---------------
7/16) 2
-
0.
---------------
7/16) 20
Now we divide 7/16 into 20. 7/16 goes into 20, 2 times. So we write a 2 above the line and multiply 7/16 by 2, and write the result below:
2
---------
7/16) 20
14
------
6
After subtracting 14 from 20, we have a remainder of 6.
Since the remainder is not zero, we can continue the long division by bringing down another digit (0) from the dividend:
0.2
---------
7/16) 20
14
------
6
0
Next, we divide 7/16 into 60. 7/16 goes into 60, 8 times. So we write an 8 above the line and multiply 7/16 by 8, and write the result below:
0.28
---------
7/16) 20
14
------
6
0
56
------
4
After subtracting 56 from 60, we have a remainder of 4.
Since the remainder is not zero, we can continue the long division by bringing down another digit (0) from the dividend:
0.28
---------
7/16) 20
14
------
6
0
56
------
4
0
Next, we divide 7/16 into 40. 7/16 goes into 40, 5 times. So we write a 5 above the line and multiply 7/16 by 5, and write the result below:
0.285
---------
7/16) 20
14
------
6
0
56
------
4
0
35
------
5
After subtracting 35 from 40, we have a remainder of 5.
Since the remainder is not zero, we can continue the long division by bringing down another digit (0) from the dividend:
0.2857
---------
7/16) 20
14
------
6
0
56
------
4
0
35
------
5
0
Next, we divide 7/16 into 50. 7/16 goes into 50, 7 times. So we write a 7 above the line and multiply 7/16 by 7, and write the result below:
0.285714
---------
7/16) 20
14
------
6
0
56
------
4
0
35
------
5
0
49
------
1
After subtracting 49 from 50, we have a remainder of 1.
Since the remainder is not zero, we can continue the long division process indefinitely to find more decimal places. However, for simplicity, we will stop here.
Therefore, 2 as a decimal is approximately 0.2857.
Use long division to convert 2 to a decimal 7/16
1 answer