Grade 8 Math · Number and Number Sense
Virginia SOL 8.NS.1
Virginia SOL 8.NS.1 is part of the Number and Number Sense strand in Grade 8 Math (Math). Under this Standards of Learning objective, students compare and order real numbers, including irrational numbers, using rational approximations and multiple strategies. Below is what 8.NS.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.NS.1 for the Virginia SOL test.
What SOL 8.NS.1 means
Compare and order real numbers, including irrational numbers, using rational approximations and multiple strategies.
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.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. How many factors does a prime number have?
Show answer
Answer: C — 2
2. Which of the following is not true?
Show answer
Answer: H — 2.5 = 25%
3. Which of the following is equivalent to 3/4 × 8?
Show answer
Answer: D — 12
4. Loretta is filling numbers into a Venn diagram. One circle contains factors of 45, another contains factors of 60, and the overlapping shaded region represents numbers that are factors of both 45 and 60. No number is entered more than once. What is the greatest number that can be placed in the shaded region?
Show answer
Answer: C — 15
Skills you’ll practice for 8.NS.1
- Estimate and identify the two consecutive natural numbers between which the positive square root of a given number lies (1 to 400) and justify the better approximation.
- Use rational approximations (to the nearest hundredth) of irrational numbers to compare, order, and locate values on a number line.
- Compare and order up to five real numbers (integers, fractions, decimals, mixed numbers, percents, scientific notation, radicals, π) using benchmarks, number lines, or equivalency.
- Justify solutions for comparing and ordering real numbers orally, in writing, or with a model.
Key concepts covered by 8.NS.1
- square root
- natural numbers
- approximation
- justification
- irrational numbers
- rational approximations
- number line
- comparison
- ordering
- real numbers
- benchmarks
- equivalency
- solutions
- oral
- written
- model
How to study and practice SOL 8.NS.1
Start with a quick diagnostic to see whether 8.NS.1 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.
Related Grade 8 Math standards in Number and Number Sense
- 8.NS.2 — Investigate and describe relationships among subsets of the real number system.
Frequently asked questions about SOL 8.NS.1
What is Virginia SOL 8.NS.1?
SOL 8.NS.1 is a Grade 8 Math Standard of Learning in the Number and Number Sense strand. It expects students to compare and order real numbers, including irrational numbers, using rational approximations and multiple strategies.
What skills does SOL 8.NS.1 cover?
SOL 8.NS.1 is assessed on 4 skills: estimate and identify the two consecutive natural numbers between which the positive square root of a given number lies (1 to 400) and justify the better approximation; use rational approximations (to the nearest hundredth) of irrational numbers to compare, order, and locate values on a number line; compare and order up to five real numbers (integers, fractions, decimals, mixed numbers, percents, scientific notation, radicals, π) using benchmarks, number lines, or equivalency; justify solutions for comparing and ordering real numbers orally, in writing, or with a model.
What strand of Grade 8 Math is SOL 8.NS.1 in?
SOL 8.NS.1 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.1?
Start with a diagnostic to see whether 8.NS.1 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.