Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.

Question

2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths

Which comparison is true? Use the number line to help you.

A number line going from negative 6 to positive 6 in increments of 1.

Negative 5.8 > Negative 5 and three-fourths
3.6 < StartFraction 37 Over 10 EndFraction
4 and one-third = 4.4
3.6 > 4.4

Answer 1

Let's evaluate each comparison based on the values provided.

1. Negative 5.8 > Negative 5 and three-fourths

   Converting -5¾ to a decimal: -5¾ = -5.75

   Comparing -5.8 and -5.75: -5.8 is less than -5.75 since it is further to the left on the number line.

   This statement is false.

2. 3.6 < 37/10

   Converting 37/10 to a decimal: 37/10 = 3.7

   Comparing 3.6 and 3.7: 3.6 is indeed less than 3.7.

   This statement is true.

3. 4 and one-third = 4.4

   Converting 4⅓ to a decimal: 4⅓ = 4.333...

   Comparing 4.333... and 4.4: 4.333... is less than 4.4.

   This statement is false.

4. 3.6 > 4.4

   Comparing 3.6 and 4.4: 3.6 is less than 4.4.

   This statement is false.

Based on the evaluations:

• The only true comparison is 3.6 < 37/10.