Nico and Albert are finishing up a science project. They measured the length in inches of three insects. They also found the average measurement of two more insects from a website.

Question

Bug Length
Bug
Length in inches
Lady bug
StartFraction 3 Over 8 EndFraction
Ant
One-fourth
Firefly
StartFraction 7 Over 8 EndFraction
Honeybee
0.8
Deer tick
0.2

Which list shows the lengths from shortest to longest?
0.2, one-fourth, StartFraction 3 Over 8 EndFraction, 0.8, StartFraction 7 Over 8 EndFraction
0.2, one-fourth, StartFraction 3 Over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8
One-fourth, 0.2, StartFraction 3 over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8
0.8, one-fourth, StartFraction 3 Over 8 EndFraction, 0.2, StartFraction 7 Over 8 EndFraction

Answer 1

To compare the lengths of the insects properly, we need to convert all the fractions and decimals to the same format, either as fractions or as decimals.

Here are the measurements we have:

1. Ladybug: \( \frac{3}{8} \) inches

   • As a decimal: \( 0.375 \)

2. Ant: \( \frac{1}{4} \) inches

   • As a decimal: \( 0.25 \)

3. Firefly: \( \frac{7}{8} \) inches

   • As a decimal: \( 0.875 \)

4. Honeybee: \( 0.8 \) inches

   • As is: \( 0.8 \)

5. Deer tick: \( 0.2 \) inches

   • As is: \( 0.2 \)

Now let's list them all as decimals:

• Ladybug: \( 0.375 \)
• Ant: \( 0.25 \)
• Firefly: \( 0.875 \)
• Honeybee: \( 0.8 \)
• Deer tick: \( 0.2 \)

Now, we'll sort them from shortest to longest:

1. \( 0.2 \) (Deer tick)
2. \( 0.25 \) (Ant)
3. \( 0.375 \) (Ladybug)
4. \( 0.8 \) (Honeybee)
5. \( 0.875 \) (Firefly)

Thus, the list showing the lengths from shortest to longest is:

0.2, one-fourth (0.25), \( \frac{3}{8} \) (0.375), 0.8, \( \frac{7}{8} \) (0.875)

This matches the first option provided:

0.2, one-fourth, \( \frac{3}{8} \), 0.8, \( \frac{7}{8} \)

So the correct answer is:

0.2, one-fourth, \( \frac{3}{8} \), 0.8, \( \frac{7}{8} \)