08/23/24 Comparing and Locating Real Numbers

Sort each of the following based on the inequality sign that should be placed in the blank to correctly complete the statement.

Groups:

(a) <

,

(b) >

• 
• 
• 

A Coast Guard ship patrols an area of 125 square miles. The area the ship patrols is a square. Which measurement is closest to the side length in miles of this square?

• 11.00 mi

• 62.50 mi

• 31.25 mi

• 15.00 mi

A gallon of stain can cover a square deck with an area of 300 square feet. Which measurement is closest to the side length of this deck in feet?

• 150 ft

• 17 ft

• 75 ft

• 20 ft

A square backyard has an area of 96 yd². Which is the best estimate of one side length of the backyard?

• 24 yards

• 9.2 yards

• 9.8 yards

• 10.1 yards

• Point A

• Point B

• Point C

• Point D

• Point E

A point is shown on the number line. Which value is best represented by this point?

• His estimate is correct; is should be halfway between 9 and 10.

• His estimate is incorrect; it should be closer to 9 than 10.

• His estimate is incorrect; is should be closer to 10 than 9.

• His estimate is incorrect; it should be slightly past 10.