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.

Question

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.