Grade 4 Math · Number and Number Sense

Virginia SOL 4.NS.5

Virginia SOL 4.NS.5 is part of the Number and Number Sense strand in Grade 4 Math (Math). Under this Standards of Learning objective, students identify and represent equivalencies between fractions and decimals limited to halves, fourths, fifths, tenths, and hundredths. Below is what 4.NS.5 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 4.NS.5 for the Virginia SOL test.

What SOL 4.NS.5 means

Identify and represent equivalencies between fractions and decimals limited to halves, fourths, fifths, tenths, and hundredths.

Practice Grade 4 Math SOL questions

Free Grade 4 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 4.NS.5 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Four fraction strips are shown: 1/3, 1/5, 1/8, and 1/10. Which fraction has the least value?

    Show answer

    Answer: D — 1/10

  2. 2. Which of the following numbers will round to 26?

    Show answer

    Answer: B — 25.5

  3. 3. A model is divided into 100 equal squares. Forty-two of the squares are shaded. Which decimal best represents the shaded part of the model?

    Show answer

    Answer: A — 0.42

  4. 4. A model represents the fraction 3/4. Which fraction is equivalent to 3/4?

    Show answer

    Answer: A — 6/8

→ Take the full free Grade 4 Math SOL practice test

Skills you’ll practice for 4.NS.5

  • Represent fractions and mixed numbers as decimals through hundredths using multiple representations.
  • Identify and model equivalent relationships between fractions and decimals using halves, fourths, fifths, tenths, and hundredths.
  • Write the decimal and fraction equivalent for a given model (e.g., 1/4 = 0.25, 1.25 = 5/4 or 1 1/4).

Key concepts covered by 4.NS.5

  • fractions
  • mixed numbers
  • decimals
  • hundredths
  • multiple representations
  • equivalent fractions
  • halves
  • fourths
  • fifths
  • tenths
  • decimal equivalent
  • fraction equivalent
  • models
  • conversion

How to study and practice SOL 4.NS.5

Start with a quick diagnostic to see whether 4.NS.5 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 4 Math SOL practice test

  • 4.NS.1Read, write, and identify the place and value of each digit in a nine-digit whole number using place value understanding.
  • 4.NS.2Compare and order whole numbers up to seven digits using the base 10 system.
  • 4.NS.3Represent, compare, and order fractions and mixed numbers with denominators up to 12, with and without models.
  • 4.NS.4Represent, compare, and order decimals through thousandths, with and without models.

Frequently asked questions about SOL 4.NS.5

What is Virginia SOL 4.NS.5?

SOL 4.NS.5 is a Grade 4 Math Standard of Learning in the Number and Number Sense strand. It expects students to identify and represent equivalencies between fractions and decimals limited to halves, fourths, fifths, tenths, and hundredths.

What skills does SOL 4.NS.5 cover?

SOL 4.NS.5 is assessed on 3 skills: represent fractions and mixed numbers as decimals through hundredths using multiple representations; identify and model equivalent relationships between fractions and decimals using halves, fourths, fifths, tenths, and hundredths; write the decimal and fraction equivalent for a given model (e.g., 1/4 = 0.25, 1.25 = 5/4 or 1 1/4).

What strand of Grade 4 Math is SOL 4.NS.5 in?

SOL 4.NS.5 belongs to the Number and Number Sense reporting strand of the Grade 4 Math Virginia Standards of Learning.

How do I study and practice for SOL 4.NS.5?

Start with a diagnostic to see whether 4.NS.5 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.