Practice 5th Grade Math for Free on Duolingo
July 14, 2026
A guide to 5th grade math topics
Ready to tackle 5th grade math? Duolingo’s here to help!
In 5th grade math, your learner is moving towards mastery of calculations involving decimals, fractions, and large numbers—foundational topics for all future math classes. They’re also developing the abstract thinking they’ll need for middle school math.
With Duolingo Math, your 5th grader will build a strong understanding of these essential skills and gain confidence every step of the way. Here’s everything that Duolingo’s 5th grade course covers!
Multiplying and dividing with ease
At the 5th grade level, students move beyond basic whole numbers and start to perform complex multiplication and division with multi-digit whole numbers and decimals. They develop the accuracy and speed necessary to handle large calculations with ease.
In the Duolingo units Multiply and divide numbers and Multiply and divide decimals, learners will practice:
- Dividing 4-digit numbers to find whole-number quotients
- Multiplying 2-, 3-, and 4-digit whole numbers quickly and accurately
- Using decimal grids to multiply and divide decimals in the hundredths
- Performing multi-step multiplication and division using whole numbers and decimals
Dominating decimals
In 5th grade math, learners expand their understanding of the base-ten system to include decimals to the thousandths place. They’ll learn to compare the values of different digits, and they’ll perform precise operations that are essential for real-world tasks like budgeting and measurement.
In the Duolingo units Operations and decimals, Compare decimals, and Add and subtract decimals, learners will work on:
- Modeling decimals in the tens and hundreds using blocks and grids
- Reading and writing decimals using base-ten numerals and expanded form
- Comparing two decimals to the thousandths using symbols like >, =, and <
- Completing decimal operations by applying strategies based on place value
Approaching fractions in new ways
5th graders start to expand their understanding of fractions by learning to add and subtract with unlike denominators. They also begin to explore how fractions relate to division and proportions, which helps them solve complex real-world word problems.
In the Duolingo units Fraction operations and Compare and operate on fractions, learners will practice:
- Multiplying whole numbers and fractions by other fractions
- Adding and subtracting fractions with unlike denominators
- Interpreting fractions as the division of numerators by denominators
- Comparing fractions with unlike denominators using symbols like >, =, and <
Understanding exponents and new expressions
In 5th grade math, learners start analyzing math expressions more deeply by using exponents and regrouping numbers. By learning to identify patterns in numerical expressions, they build the logical reasoning skills needed for algebra and other higher-level math.
In the Duolingo units Intro to exponents, Distributive property, and Place value, learners will study:
- Rewriting expressions using the distributive property
- Using whole-number exponents to write powers of 10
- Evaluating numerical expressions that contain parentheses or brackets
- Recognizing patterns in the number of zeros when multiplying by powers of 10
Exploring the coordinate plane
5th grade is also when students begin learning the coordinate system, as they learn to graph points on a plane. By understanding how to locate points using ordered pairs, they gain a visual language that will be essential for understanding the algebraic topics they’ll encounter in middle school.
In the Duolingo unit Plot points, learners will practice:
- Graphing coordinate points in the first quadrant
- Locating points on an xy-plane using pairs of coordinates
- Understanding how to travel from the origin using the x-axis and y-axis
Duolingo Math helps your 5th grader build new skills
Your learner will love using Duolingo Math, and they’ll get everything they need to successfully navigate the transition to higher level middle school math.