Question

Students in an engineering class designed model airplanes. The average distance flown was 48 feet. The table shows the difference from average for five students.

A 2-column table with 5 rows. Column 1 is labeled Name with entries Shanquelle, Ceili, Ella, Vincent, Conner. Column 2 is labeled Difference (feet) with entries negative 1.3, two-fifths, negative 0.2, 1.5, negative one-fourth.

Which statements are true?
–1.3 is less than Two-fifths.
1.5 is less than –0.2.
Two-fifths is greater than –0.2.
Negative one-fourth is less than –0.2.
1.5 is greater than Two-fifths.

Answer 1

Let's analyze the statements one by one using the numerical values derived from the entries in the table.

1. **–1.3 is less than Two-fifths**:
- Converting two-fifths (2/5) to decimal: 2/5 = 0.4
- Comparison: –1.3 < 0.4 (True)

2. **1.5 is less than –0.2**:
- Comparison: 1.5 > –0.2 (False)

3. **Two-fifths is greater than –0.2**:
- Comparison: 0.4 > –0.2 (True)

4. **Negative one-fourth is less than –0.2**:
- Converting negative one-fourth to decimal: –1/4 = –0.25
- Comparison: –0.25 < –0.2 (True)

5. **1.5 is greater than Two-fifths**:
- Comparison: 1.5 > 0.4 (True)

Based on this analysis, the true statements are:
- –1.3 is less than Two-fifths.
- Two-fifths is greater than –0.2.
- Negative one-fourth is less than –0.2.
- 1.5 is greater than Two-fifths.

Thus, the true statements are:
- –1.3 is less than Two-fifths.
- Two-fifths is greater than –0.2.
- Negative one-fourth is less than –0.2.
- 1.5 is greater than Two-fifths.