Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place
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.
To convert 2/9 to a decimal using long division, follow these steps:
1. Divide the numerator (2) by the denominator (9). Write down the whole number part of the quotient (if any), which is 0 in this case, as the first digit of the decimal.
0.
2. Multiply the whole number part of the quotient by the denominator (9) and subtract it from the numerator (2). Write down the result (2) below the line.
0. |
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2
3. Bring down a zero after the 2, making it 20.
0. |
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20
2
4. Divide the new number (20) by the denominator (9). Write down the whole number part of the quotient (if any) as the next digit of the decimal.
0.2 |
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20
2
5. Multiply the whole number part of the quotient (2) by the denominator (9) and subtract it from the new number (20). Write down the result (2) below the line.
0.2 |
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20
2
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0
6. Since the result is zero, we have reached the end of the long division process.
Therefore, 2/9 as a decimal, approximated to one decimal place, is 0.2.