---
title: "4.NR.5: Decimal Fractions & Comparison (Georgia Mathematics standard)"
code: 4.NR.5
cite_as: Georgia Standards of Excellence, Mathematics, 4.NR.5
subject: math
grades:
  - grade-4
language: en
canonical_url: https://georgiahomeroom.org/standards/code/4.NR.5
md_url: https://georgiahomeroom.org/standards/code/4.NR.5.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/4.NR.5.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/grade-4.md
index: https://georgiahomeroom.org/standards/index.md
---

# 4.NR.5: Decimal Fractions & Comparison

Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.

- Subject: Mathematics
- Appears in: Grade 4, https://georgiahomeroom.org/standards/math/grade-4.md

## Expectations

- **4.NR.5.1**: Demonstrate and explain the concept of equivalent fractions with denominators of 10 and 100, using concrete materials and visual models. Add two fractions with denominators of 10 and 100.
- **4.NR.5.2**: Represent, read, and write fractions with denominators of 10 or 100 using decimal notation, and decimal numbers to the hundredths place as fractions, using concrete materials and drawings.
- **4.NR.5.3**: Compare two decimal numbers to the hundredths place by reasoning about their size. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.

## Georgia Milestones coverage

- Mathematics Grade 4 (EOG). Numerical Reasoning. Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models. (about 12% of the test; 7 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Given a visual representation, identify equivalent fractions with denominators of 10 and 100. Given a visual representation, identify equivalency between a fraction with a denominator of 10 or 100 and a decimal number. Given a visual representation, compare two decimal numbers to the hundredths place using >, =, and < symbols.
- **Developing**: Identify or create equivalent fractions with denominators of 10 and 100. Represent fractions with denominators of 10 or 100 as a decimal number. Compare two decimal numbers to the hundredths place using >, =, and < symbols.
- **Proficient**: Add two fractions with denominators of 10 and 100. Represent a decimal number to the hundredths place as a fraction. Compare two decimal numbers to the hundredths place to solve real-life problems.
- **Distinguished**: Solve real-life problems involving comparison of fractions with denominators of 10 or 100 to decimal numbers to the hundredths place.

## The same standard across grades

- Kindergarten, K.NR.5: Explain the concepts of addition, subtraction, and equality and use these concepts to solve real-life problems within 10. https://georgiahomeroom.org/standards/code/K.NR.5.md
- Grade 1, 1.NR.5: Use concrete models, the base ten structure, and properties of operations to add and subtract within 100. https://georgiahomeroom.org/standards/code/1.NR.5.md
- **Grade 4, 4.NR.5 (this standard)**: Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.
- Grade 5, 5.NR.5: Write, interpret, and evaluate numerical expressions within authentic problems. https://georgiahomeroom.org/standards/code/5.NR.5.md

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.