---
title: "5.NR.1: Place Value Problem Solving (Georgia Mathematics standard)"
code: 5.NR.1
cite_as: Georgia Standards of Excellence, Mathematics, 5.NR.1
subject: math
grades:
  - grade-5
language: en
canonical_url: https://georgiahomeroom.org/standards/code/5.NR.1
md_url: https://georgiahomeroom.org/standards/code/5.NR.1.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/5.NR.1.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.1: Place Value Problem Solving

Use place value understanding to solve real-life, mathematical problems.

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

## Expectations

- **5.NR.1.1**: Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and $\frac{1}{10}$ of what it represents in the place to its left.
- **5.NR.1.2**: Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to $10^3$.

## Georgia Milestones coverage

- Mathematics Grade 5 (EOG). Numerical Reasoning. Use place value understanding to solve real-life, 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**: Identify the value of a digit up to 100 times the value or 1/1,000 the value of another digit in a multi-digit number. Use whole-number exponents to denote powers of 10, up to 10³.
- **Developing**: Describe the relationship between two identical digits with different place values as being up to 100 times the value or 1/1,000 the value of the other digit. Use place value understanding to multiply or divide a number by 10, 10², or 10³.
- **Proficient**: Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the placement of digits when multiplied or divided by a power of 10, up to 10³. Solve real-life, mathematical problems to explain patterns in the place value system.
- **Distinguished**: Solve multi-step, real-life, mathematical problems to explain patterns in the place value system.

## The same standard across grades

- Kindergarten, K.NR.1: Demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set). https://georgiahomeroom.org/standards/code/K.NR.1.md
- Grade 1, 1.NR.1: Extend the count sequence to 120. Read, write, and represent numerical values to 120 and compare numerical values to 100. https://georgiahomeroom.org/standards/code/1.NR.1.md
- Grade 2, 2.NR.1: Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and structures. https://georgiahomeroom.org/standards/code/2.NR.1.md
- Grade 3, 3.NR.1: Use place value reasoning to represent, read, write, and compare numerical values up to 10,000 and round whole numbers up to 1,000. https://georgiahomeroom.org/standards/code/3.NR.1.md
- Grade 4, 4.NR.1: Recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place and compare decimal numbers to the hundredths place. https://georgiahomeroom.org/standards/code/4.NR.1.md
- **Grade 5, 5.NR.1 (this standard)**: Use place value understanding to solve real-life, mathematical problems.
- Grade 6, 6.NR.1: Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers. https://georgiahomeroom.org/standards/code/6.NR.1.md
- Grade 7, 7.NR.1: Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers). https://georgiahomeroom.org/standards/code/7.NR.1.md
- Grade 8, 8.NR.1: Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications. https://georgiahomeroom.org/standards/code/8.NR.1.md

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