Which of the following inequalities orders the numbers 0.2, 0.03, and 1/4 from least to greatest

Which of the following inequalities orders the numbers 0.2, 0.03, and 1/4 from least to greatest?

1. 0.2 < 0.03 < 1/4
2. 0.03 < 0.2 < 1/4
3. 0.03 < 1/4 < 0.2
4. 1/4 < 0.03 < 0.2
5. 1/4 < 0.2 < 0.03

Answer

The correct answer is B.

You can order the numbers by considering the decimal equivalent of 1/4 = 0.25 and writing each fraction in an equivalent form with 100 as the denominator.

0.2 = 20/100

0.03 = 3/100

1/4 = 25/100

The fractions can then be ordered based on the magnitude of the numerator:

3/100 < 20/100 < 25/100

0.03 < 0.2 < 1/4