Grade 5 Math · Number and Number Sense

Virginia SOL 5.NS.1

Virginia SOL 5.NS.1 is part of the Number and Number Sense strand in Grade 5 Math (Math). Under this Standards of Learning objective, students identify and represent equivalency between fractions (denominators: thirds, eighths, factors of 100) and decimals; compare and order fractions and decimals. Below is what 5.NS.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 5.NS.1 for the Virginia SOL test.

Practice 5.NS.1 All Grade 5 Math standards

What SOL 5.NS.1 means

Identify and represent equivalency between fractions (denominators: thirds, eighths, factors of 100) and decimals; compare and order fractions and decimals.

Practice Grade 5 Math SOL questions

Free Grade 5 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 5.NS.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. Jenny found 17 seashells at the beach. What is 17 rounded to the nearest ten?
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Answer: B — 20
2. The table shows the number of phone calls a radio station received each week for the last month. Week 1: 6,289 calls Week 2: 7,941 calls Week 3: 4,306 calls Week 4: 6,755 calls Which is the best estimate of the total number of calls received in the four-week period?
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Answer: H — 25,000
3. What is the sum of 89 and 47?
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Answer: B — 136
4. Tyrone has $20 to spend at the basketball game. His ticket costs $15.95. Which of the following combinations of items could he also buy without spending more than $20 total?
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Answer: F — Items costing $2.50 and $1.25

→ Take the full free Grade 5 Math SOL practice test

Skills you’ll practice for 5.NS.1

Use concrete and pictorial models to represent fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form.
Use concrete and pictorial models to represent decimals in their equivalent fraction form (thirds, eighths, and factors of 100).
Identify equivalent relationships between decimals and fractions with denominators that are thirds, eighths, and factors of 100, with and without models.
Compare and order a set of no more than four decimals and fractions (proper, improper, and/or mixed numbers) using symbols (<, >, =) and strategies (benchmarks, place value, number lines).
Justify solutions for comparing and ordering decimals and fractions orally, in writing, or with a model.

Key concepts covered by 5.NS.1

fractions
denominators
thirds
eighths
factors of 100
decimal form
concrete models
pictorial models
decimals
fraction form
equivalent relationships
models
compare
order
proper fractions
improper fractions
mixed numbers
symbols
benchmarks
place value
number lines
justify solutions
comparing
ordering
oral justification
written justification

How to study and practice SOL 5.NS.1

Start with a quick diagnostic to see whether 5.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.

→ Take the free Grade 5 Math SOL practice test

5.NS.2 — Demonstrate understanding of prime and composite numbers and determine prime factorization of whole numbers up to 100.

Frequently asked questions about SOL 5.NS.1

What is Virginia SOL 5.NS.1?

SOL 5.NS.1 is a Grade 5 Math Standard of Learning in the Number and Number Sense strand. It expects students to identify and represent equivalency between fractions (denominators: thirds, eighths, factors of 100) and decimals; compare and order fractions and decimals.

What skills does SOL 5.NS.1 cover?

SOL 5.NS.1 is assessed on 5 skills: use concrete and pictorial models to represent fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form; use concrete and pictorial models to represent decimals in their equivalent fraction form (thirds, eighths, and factors of 100); identify equivalent relationships between decimals and fractions with denominators that are thirds, eighths, and factors of 100, with and without models; compare and order a set of no more than four decimals and fractions (proper, improper, and/or mixed numbers) using symbols (<, >, =) and strategies (benchmarks, place value, number lines); justify solutions for comparing and ordering decimals and fractions orally, in writing, or with a model.

What strand of Grade 5 Math is SOL 5.NS.1 in?

SOL 5.NS.1 belongs to the Number and Number Sense reporting strand of the Grade 5 Math Virginia Standards of Learning.

How do I study and practice for SOL 5.NS.1?

Start with a diagnostic to see whether 5.NS.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.