Question

Use long division to convert 2/7 to a decimal.

A) 0.2857
B) 0.1429
C) 0.5714
D) 0.7143

Answer 1

To convert 2/7 to a decimal using long division, follow these steps: divide 2 by 7, add a decimal point and a zero, divide the new dividend by the divisor, and repeat until desired accuracy. The decimal equivalent of 2/7 is 0.2857.

Step-by-step explanation:

To convert 2/7 to a decimal using long division, follow these steps:

1. Divide 2 by 7. Write 2 as the dividend and 7 as the divisor.
2. Since 2 is less than 7, add a decimal point and a zero after it to create a decimal form. Now your dividend is 20.
3. Divide 20 by 7. Write the quotient as a decimal. The quotient is 2.8.
4. Since the decimal part of the quotient is not zero, add another zero after the decimal point in the dividend (20).
5. Divide 20 by 7 again. Write the new quotient after the first decimal point in the result. The new quotient is 2.85.
6. Repeat step 4 and step 5 until you have reached the desired accuracy. In this case, the options provided are accurate to four decimal places, so you can stop here.

Therefore, the decimal equivalent of 2/7 is 0.2857 (option A).