use long division convert 2/9 into a decimal your approximate ration should have one decimal place

1 answer

To convert 2/9 into a decimal using long division, we divide 2 by 9:

0.2
----------
9 │ 2.0
-18
------
20

After the first step, we see that 2 divided by 9 gives us 0 with a remainder of 2. We add a decimal point to the quotient and bring down the next digit (0 in this case).

0.2
----------
9 │ 2.00
-18
------
20
As the divisor (9) does not evenly divide into 20, we continue by adding a decimal and a zero to the quotient, bringing down another zero:

0.2
----------
9 │ 2.00
-18
------
20
-18
------
20
-18
-----
20

We repeat the process of bringing down zeros and performing the division until we reach the desired level of decimal places.

Thus, 2/9 as a decimal rounded to one decimal place is approximately 0.2.