Rational and Irrational Numbers

The Venn diagram shows the relationship among several sets of numbers. Where should -√169 be placed in the Venn diagram?

• Rational numbers, because -√169 is equal to -84.5

• Integers, because -√169 is equal to -13

• Irrational numbers, because -√169 is equal to -84.5

• Whole numbers, because -√169 is equal to 13

Set Q and Set Z are subsets of the real number system. Q = {rational numbers} Z = {integers} Which Venn diagram best represents the relationship between Set Q and Set Z?

• 
• 
• 
• 

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?

• 
• 
• 
• 

The area of a square wall is 182 square feet. Which measurement is closest to the side length in feet of this wall?

• 91.0 ft

• 13.5 ft

• 54.0 ft

• 45.5 ft

A student solved the equation x² = 132 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters?

• 66.77 cm

• 44.28 cm

• 33.16 cm

• 11.49 cm

The points on the number line represent the values of four different numbers. Which point best represents the value of √3?

• Point A

• Point B

• Point C

• Point D

Point Q is shown on the number line. Which value is best represented by point Q?

Paula completely covered a square wall using 87.5 ft² of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

• 22.89 ft

• 44.16 ft

• 9.35 ft

• 7.24 ft

• Point M

• Point N

• Point P

• Point O

Which list shows the numbers in order from greatest value to least value?