Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
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2 divided by 9 is equal to 0.2
To convert 2/9 to a decimal using long division, follow these steps:
1. Write the fraction, 2/9, as a division problem: 2 ÷ 9.
2. Start dividing the numerator (2) by the denominator (9). Place the quotient, 0, above the division bar.
3. Multiply the quotient (0) by the denominator (9), and subtract the result (0) from the numerator (2). Write the result, 2, below the subtraction line.
4. Bring down the next digit from the dividend (0) to the right of the result obtained in step 3. Now, you have the new dividend as 20.
5. Repeat step 2 by dividing the new dividend (20) by the denominator (9).
6. Place the new quotient, 2, above the division bar.
7. Multiply the new quotient (2) by the denominator (9), and subtract the result (18) from the dividend (20). Write the result, 2, below the subtraction line.
The division process will become repeating after this point as we will keep getting the remainder of 2 each time.
8. Bring down the next digit from the dividend (0), which is also 0, to the right of the current result.
9. Repeat step 2 by dividing the new dividend (20) by the denominator (9) again.
10. Place the new quotient, 2, above the division bar.
11. Multiply the new quotient (2) by the denominator (9), and subtract the result (18) from the dividend (20).
The division process will continue in an infinite repeating pattern of quotient 0 and remainder 2 after this point.
As a result, the fraction 2/9 as a decimal approximation with one decimal place is approximately 0.2.