---
title: "5.NR.4: Decimals to Thousandths (Georgia Mathematics standard)"
code: 5.NR.4
cite_as: Georgia Standards of Excellence, Mathematics, 5.NR.4
subject: math
grades:
  - grade-5
language: en
canonical_url: https://georgiahomeroom.org/standards/code/5.NR.4
md_url: https://georgiahomeroom.org/standards/code/5.NR.4.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/5.NR.4.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-5.md
index: https://georgiahomeroom.org/standards/index.md
---

# 5.NR.4: Decimals to Thousandths

Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

- Subject: Mathematics
- Appears in: Grade 5, https://georgiahomeroom.org/standards/math/grade-5.md

## Expectations

- **5.NR.4.1**: Read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form.
- **5.NR.4.2**: Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
- **5.NR.4.3**: Use place value understanding to round decimal numbers to the hundredths place.
- **5.NR.4.4**: Solve problems involving addition and subtraction of decimal numbers to the hundredths place using a variety of strategies.

## Georgia Milestones coverage

- Mathematics Grade 5 (EOG). Numerical Reasoning. Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems. (about 24% of the test; 14 points; shared with other standards, so count these points once and never add them up per standard)

## 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 the standard form or expanded form of a decimal number, identify the other form. Given a visual representation, compare decimal numbers to the thousandths place by using >, =, and < symbols. Given a visual representation, such as a number line, round decimal numbers to the hundredths place.
- **Developing**: Given the standard form or expanded form of a decimal number, create the other form. Compare decimal numbers to the thousandths place by using >, =, and < symbols. Round decimal numbers to the hundredths place. Add decimal numbers to the hundredths place.
- **Proficient**: Compare and order up to three decimal numbers to the thousandths place by using >, =, and < symbols. Round decimal numbers to the hundredths place in relevant, mathematical problems. Subtract decimal numbers to the hundredths place.
- **Distinguished**: Compare and order up to three decimal numbers to the thousandths place to solve relevant, mathematical problems. Add and subtract decimal numbers to the hundredths place to solve relevant mathematical problems.

## The same standard across grades

- Kindergarten, K.NR.4: Identify, write, represent, and compare numbers up to 20. https://georgiahomeroom.org/standards/code/K.NR.4.md
- Grade 3, 3.NR.4: Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models. https://georgiahomeroom.org/standards/code/3.NR.4.md
- Grade 4, 4.NR.4: Solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100 using part-whole strategies and visual models. https://georgiahomeroom.org/standards/code/4.NR.4.md
- **Grade 5, 5.NR.4 (this standard)**: Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
- Grade 6, 6.NR.4: Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning. https://georgiahomeroom.org/standards/code/6.NR.4.md

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