Order a Set of Rational Numbers Arising from Mathematical and Real-World Contexts

Which Venn diagram shows the correct relationship among different sets of numbers and the correct placement of -648?

• Diagram F

• Diagram H

• Diagram G

• Diagram J

The Venn diagram shows the relationships among different sets of numbers. Which number would be located in the shaded part of the diagram?

• -1.7

• -8

• 2/3

• 10

Four points are labeled on the number line. Which point best represents 1/3?

• Point K

• Point L

• Point M

• Point N

Akeem created a list by correctly putting a group of fractions, percentages, and decimals in order from least to greatest value. Which list could be the one Akeem created?

• 0.21, 22%, 1/4, 0.35, 38%, 3/8

• 22%, 38%, 0.21, 1/4, 0.35, 3/8

• 22%, 38%, 1/4, 0.21, 0.35, 3/8

• 0.21, 22%, 1/4, 0.35, 3/8, 38%,

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

• 19/2, -3/4, -1.2, 38/6, 7

• 38/6, 19/2, -3/4, -1.2

• 19/2, 7, 38/6, -3/4, -1.2

• 38/6, -1.2, -3/4, 19/2, 7

Which value represents a percentage between 11% and 17%?

• 0.159

• 0.013

• 11/1,000

• 6/100

The weights of four puppies are shown in pounds: 9.5, 3/8, 9.125, 3/4. Which list shows these weights in order from greatest to least?

• F) 9.5, 9.125, 3/4, 3/8

• G) 9.5, 3/8, 3/4, 9.125

• H) 9.125, 3/8, 9.5, 3/4

• J) 3/4, 3/8, 9.5, 9.125

Mari used a thermometer to record temperatures of -3.4° Celsius and 1.6° Celsius. Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?

• -2.6 °C

• 3.9 °C

• -5.4 °C

• 0 °C

The table shows the portion of a day four students used to build a website. Which list shows the students in order from the greatest amount of time used to the least amount of time used?

• Andrew, Blake, Jamail, Ernesto

• Blake, Andrew, Jamail, Ernesto

• Ernesto, Blake, Andrew, Jamail

• Andrew, Jamail, Ernesto, Blake

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

• 2/5, -2.47, -1/2, 5, 21/4

• 2/5, -2.47, -1/2, 21/4, 5

• -2.47, -1/2, -2/5, 5, 21/4

• -1/2, -2.47, -2/5, 21/4, 5