Grade 8 Math · Number and Number Sense

Virginia SOL 8.NS.2

Virginia SOL 8.NS.2 is part of the Number and Number Sense strand in Grade 8 Math (Math). Under this Standards of Learning objective, students investigate and describe relationships among subsets of the real number system. Below is what 8.NS.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.NS.2 for the Virginia SOL test.

What SOL 8.NS.2 means

Investigate and describe relationships among subsets of the real number system.

Practice Grade 8 Math SOL questions

Free Grade 8 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 8.NS.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Which is an integer?

    Show answer

    Answer: F — −19

  2. 2. Harold was looking at a scale drawing of a city park. A reflection pool that is 27 meters long measures 1.8 centimeters on the drawing. Which scale was most likely used?

    Show answer

    Answer: C — 1 cm represents 15 m

  3. 3. If a ÷ b = a, then b equals —

    Show answer

    Answer: G — 0

  4. 4. Between what two consecutive whole numbers does √95 lie?

    Show answer

    Answer: C — 9 and 10

→ Take the full free Grade 8 Math SOL practice test

Skills you’ll practice for 8.NS.2

  • Describe and illustrate relationships among subsets of the real number system (rational, irrational, integers, whole, natural) using representations like graphic organizers or number lines.
  • Classify and explain why a given number belongs to a particular subset or subsets of the real number system.
  • Describe each subset of the real number system with examples and non-examples.

Key concepts covered by 8.NS.2

  • real number system
  • subsets
  • rational numbers
  • irrational numbers
  • integers
  • whole numbers
  • natural numbers
  • graphic organizers
  • number lines
  • classification
  • real number subsets
  • examples
  • non-examples

How to study and practice SOL 8.NS.2

Start with a quick diagnostic to see whether 8.NS.2 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

→ Take the free Grade 8 Math SOL practice test

  • 8.NS.1Compare and order real numbers, including irrational numbers, using rational approximations and multiple strategies.

Frequently asked questions about SOL 8.NS.2

What is Virginia SOL 8.NS.2?

SOL 8.NS.2 is a Grade 8 Math Standard of Learning in the Number and Number Sense strand. It expects students to investigate and describe relationships among subsets of the real number system.

What skills does SOL 8.NS.2 cover?

SOL 8.NS.2 is assessed on 3 skills: describe and illustrate relationships among subsets of the real number system (rational, irrational, integers, whole, natural) using representations like graphic organizers or number lines; classify and explain why a given number belongs to a particular subset or subsets of the real number system; describe each subset of the real number system with examples and non-examples.

What strand of Grade 8 Math is SOL 8.NS.2 in?

SOL 8.NS.2 belongs to the Number and Number Sense reporting strand of the Grade 8 Math Virginia Standards of Learning.

How do I study and practice for SOL 8.NS.2?

Start with a diagnostic to see whether 8.NS.2 is already solid, then work the 3 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.