Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place

Answer 1

To convert 2/9 to a decimal using long division, follow these steps:

1) Divide 2 by 9: 2 ÷ 9 = 0.2
2) Write down 0.2 as the quotient with a decimal point: 0.2.
3) Multiply the remainder 2 by 10: 2 × 10 = 20.
4) Divide 20 by 9: 20 ÷ 9 = 2 remainder 2.
5) Write down 2 as part of the quotient after the decimal point: 0.2 2.
6) Multiply the new remainder 2 by 10 again: 2 × 10 = 20.
7) Divide 20 by 9: 20 ÷ 9 = 2 remainder 2.
8) Write down 2 again as part of the quotient after the decimal point: 0.22.
9) Repeat steps 6-8 until the desired level of precision is reached.

Since we were asked to have one decimal place in the approximation, we can stop at step 8. Therefore, the decimal equivalent of 2/9 is approximately 0.2 2, or 0.2 rounded to one decimal place.