Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
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To convert 2/9 to a decimal using long division, follow these steps:
1. Divide 2 by 9. Write 0.2 above the division line.
0.2
------
9| 2.0
2. Multiply 0.2 by 9 to get 1.8. Subtract 1.8 from 2.0 to get 0.2. Bring down the next digit, which is 0.
0.2
------
9| 2.0
1.8
------
0.2
3. Divide 2 by 9 again. Write 0.02 above the division line.
0.20
------
9| 2.00
1.80
------
0.20
4. Multiply 0.02 by 9 to get 0.18. Subtract 0.18 from 2.00 to get 1.82. Bring down the next digit, which is 0.
0.20
------
9| 2.00
1.80
------
0.20
------
2
The division process repeats indefinitely. The decimal representation of 2/9 is approximately 0.2 (rounded to one decimal place).
To convert 2/9 to a decimal using long division, follow these steps:
1. Divide the numerator (2) by the denominator (9).
2 ÷ 9 = 0 remainder 2
2. Write down the 0 as the whole number part of the decimal.
3. Multiply the remainder (2) by 10 and write it below the dividend.
20
--
2
4. Divide the new dividend (20) by the denominator (9).
20 ÷ 9 = 2 remainder 2
5. Write down the 2 as the next digit in the decimal.
6. Repeat steps 3-5 until you have enough decimal places or until you reach a repeating pattern.
20 ÷ 9 = 2 remainder 2
20 ÷ 9 = 2 remainder 2
...
7. The final result is 0.2, rounded to one decimal place.