Question

Use long division to convert 29%0D%0A2%0D%0A9%0D%0A to a decimal. Your approximation should have one decimal place.(1 point)

Answer 1

To convert the fraction \( \frac{29}{100} \) to a decimal using long division, we divide 29 by 100.

1. Start with 29. Since 100 is larger than 29, we will need to add a decimal point and zeros.
2. Write it as 29.000 (adding zeros to assist in the division).
3. Now divide 100 into 290 (the first three digits including the decimal point).
4. 100 goes into 290 two times (because \( 2 \times 100 = 200 \)).
5. Subtract 200 from 290, which leaves us with 90.
6. Bring down the next zero, making it 900.
7. Now divide 100 into 900. It fits 9 times (since \( 9 \times 100 = 900 \)).
8. Subtract 900 from 900, which leaves us with 0.

So, \( 29 \div 100 = 0.29 \).

Now, rounding 0.29 to one decimal place, we get 0.3.

Therefore, the decimal approximation of \( \frac{29}{100} \) to one decimal place is **0.3**.