Whole Numbers and Number Theory : Fifth Grade Math Worksheets

This page contains all our printable worksheets in section Whole Numbers and Number Theory of Fifth Grade Math. As you scroll down, you will see many worksheets for place value, addition and subtraction, multiplication, number theory, division, and more.

A brief description of the worksheets is on each of the worksheet widgets. Click on the images to view, download, or print them. All worksheets are free for individual and non-commercial use.

View the full list of topics for this grade and subject categorized by common core standards or in a traditional way.

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Place Value, Addition and Subtraction

Worksheet: Fifth Grade

Place Value Through Billions - I


Learn place value any digit up to billionth place and write numbers in various forms.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Place Value Through Billions


Worksheet: Fifth Grade

Place Value Through Billions - II


Complete place value charts and write numbers in standard and word forms.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Place Value Through Billions


Worksheet: Fifth Grade

Place Value Through Billions - III


Convert and identify large numbers into different forms using place value.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Place Value Through Billions


Worksheet: Fifth Grade

Compare and Order - I


Use place value to compare large number using comparison symbols.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Compare and Order


Worksheet: Fifth Grade

Compare and Order - II


Compare and order large number using place value charts. Find missing digits to make a comparison statement true.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Compare and Order


Worksheet: Fifth Grade

Compare and Order - III


Using comparison skills, read data from tables and solve problems based on place value system.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Compare and Order


Worksheet: Fifth Grade

Rounding and Estimation - I


Use rounding based on place value and number lines to estimate the numbers and their sums.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Rounding and Estimation


Worksheet: Fifth Grade

Rounding and Estimation - II


Round large numbers to the place of a given digit. Use rounding skills to compare and analyze data.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Rounding and Estimation


Worksheet: Fifth Grade

Rounding and Estimation - III


Practice rounding and estimation skills with a collection of word problems and data analysis.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Rounding and Estimation


Worksheet: Fifth Grade

Add/Subtract Whole Numbers - I


Practice addition or subtraction of big numbers. Relate addition and subtraction to find missing digits in an addition or subtraction problem.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Add/Subtract Whole Numbers


Worksheet: Fifth Grade

Add/Subtract Whole Numbers - II


Add or subtract big numbers. A collection of word problems to enhance your summation and subtraction skills.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Add/Subtract Whole Numbers


Worksheet: Fifth Grade

Add/Subtract Whole Numbers - III


Addition and Subtraction practice of whole numbers using big data sets. Relate your skills to real life problems.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Add/Subtract Whole Numbers


Worksheet: Fifth Grade

Properties of Addition - I


Learn about identity, associative, and commutative property of addition. Practice applying them in addition equations.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Properties of Addition


Worksheet: Fifth Grade

Properties of Addition - II


Apply property of additions to find missing numbers in an addition equation. Use them to sharpen your addition speed.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Properties of Addition



Distinguish between numerical and algebraic expressions. Define and use variables in algebraic expressions.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Expressions: Addition and Subtraction



Convert a problem statement to an addition or subtraction expression. Solve for an unknown variable.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Expressions: Addition and Subtraction



Evaluate expressions. Solve problems based on data tables using numerical and algebraic expressions.

Category:  Whole Numbers and Number Theory     Place Value, Addition and Subtraction     Expressions: Addition and Subtraction


Multiplication

Worksheet: Fifth Grade

Multiplication Patterns - I


See how a multiplication pattern help in solving products of larger numbers that are multiples of tens, hundreds etc.

Category:  Whole Numbers and Number Theory     Multiplication     Multiplication Patterns


Worksheet: Fifth Grade

Multiplication Patterns - II


Apply your knowledge of facts and multiplication patterns to a collection of word problems involving multiplication.

Category:  Whole Numbers and Number Theory     Multiplication     Multiplication Patterns


Worksheet: Fifth Grade

Multiplication Patterns - III


Apply multiplication patterns to solve for a variable in an algebraic expression. Solve one or two step word problems.

Category:  Whole Numbers and Number Theory     Multiplication     Multiplication Patterns


Worksheet: Fifth Grade

Estimate Products - I


Round and estimate products of up to 5 digits numbers. Multiplication facts are useful once rounding is performed.

Category:  Whole Numbers and Number Theory     Multiplication     Estimate Products


Worksheet: Fifth Grade

Estimate Products - II


Apply rounding and estimation skills to solve multiplication word problems involving large whole numbers.

Category:  Whole Numbers and Number Theory     Multiplication     Estimate Products


Worksheet: Fifth Grade

Estimate Products - III


Some test practice and data analysis to prepare for real world application of estimation, rounding and multiplication.

Category:  Whole Numbers and Number Theory     Multiplication     Estimate Products


Worksheet: Fifth Grade

Multiplication Properties- I


Identify the multiplication properties used in statements. Learn to use distributive property to simplify multiplication of numbers.

Category:  Whole Numbers and Number Theory     Multiplication     Properties of Multiplication


Worksheet: Fifth Grade

Multiplication Properties- II


More about Zero, identity, distributive, associative and commutative property of multiplication. Apply them find missing numbers in an equation.

Category:  Whole Numbers and Number Theory     Multiplication     Properties of Multiplication


Worksheet: Fifth Grade

Multiply by 1-Digit Numbers - I


Practice multiplication of whole numbers with a single digit number. Apply your skills to solve word problems.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 1-Digit Numbers


Worksheet: Fifth Grade

Multiply by 1-Digit Numbers - II


Worksheets has collection of problems to find products of large whole numbers and single digit numbers involving word problems.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 1-Digit Numbers


Worksheet: Fifth Grade

Multiply by 1-Digit Numbers - III


Multiply whole numbers with one digit numbers using data and word problems.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 1-Digit Numbers


Worksheet: Fifth Grade

Multiply by 2-Digit Numbers - I


Multiply whole numbers with 2-digit numbers. Solve word problems using similar type of multiplication.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 2-Digit Numbers


Worksheet: Fifth Grade

Multiply by 2-Digit Numbers - II


Practice multiplication of whole numbers with a 2-digit numbers. Apply your skills to solve real life problems.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 2-Digit Numbers


Worksheet: Fifth Grade

Multiply by 2-Digit Numbers - III


Apply your skills of multiplication with a 2-digit number to solve word problems and table of data. Prepare for tests.

Category:  Whole Numbers and Number Theory     Multiplication     Multiply by 2-Digit Numbers


Division

Use your estimation skills to find the quotient when a large number is divided by a 1 or 2 digit number.

Category:  Whole Numbers and Number Theory     Division     Estimate with 1-Digit and 2-Digit Divisors



Estimate and find the quotient when divisor is a 1 or 2 digit number. Solve problems having data sets.

Category:  Whole Numbers and Number Theory     Division     Estimate with 1-Digit and 2-Digit Divisors



Estimate and find the quotient to solve a set of problems involving words and data in a table.

Category:  Whole Numbers and Number Theory     Division     Estimate with 1-Digit and 2-Digit Divisors


Worksheet: Fifth Grade

Dividing by 1-Digit Numbers - I


Practice dividing 3-5 digit numbers by a 1-digit number. Use your skills to solve word problems and for test preparation.

Category:  Whole Numbers and Number Theory     Division     Divide by 1-Digit Divisors


Worksheet: Fifth Grade

Dividing by 1-Digit Numbers - II


Extra Practice worksheets to help you sharpen your division skills. Use your skills to solve real life problems that requires some data analysis skills as well.

Category:  Whole Numbers and Number Theory     Division     Divide by 1-Digit Divisors


Worksheet: Fifth Grade

Dividing by 1-Digit Numbers - III


A set of division problems with a touch of algebra involved. Find missing unknown numbers used in a division equation.

Category:  Whole Numbers and Number Theory     Division     Divide by 1-Digit Divisors


Worksheet: Fifth Grade

Dividing by 2-Digit Numbers - I


Practice dividing by a 2-digit numbers. Solve word problems that requires a 2-digit division to reach at the solution.

Category:  Whole Numbers and Number Theory     Division     Divide by 2-Digit Divisors


Worksheet: Fifth Grade

Dividing by 2-Digit Numbers - II


Practice problems for division by 2-digit numbers. Use data in the table to solve more division problems.

Category:  Whole Numbers and Number Theory     Division     Divide by 2-Digit Divisors


Worksheet: Fifth Grade

Dividing by 2-Digit Numbers - III


Solve practical problems using division by 2-digit numbers. Other problems will help you relate to real world math problems involving such division.

Category:  Whole Numbers and Number Theory     Division     Divide by 2-Digit Divisors


Worksheet: Fifth Grade

Quotients and Remainders - I


Find the remainder when a whole number is divided by another. Solve some money word problems and find remainder that is change.

Category:  Whole Numbers and Number Theory     Division     Quotients and Remainder


Worksheet: Fifth Grade

Quotients and Remainders - II


Practice dividing whole number of fruits or candies in many equal groups. Find out what remains after the division.

Category:  Whole Numbers and Number Theory     Division     Quotients and Remainder


Worksheet: Fifth Grade

Quotients and Remainders - III


More division practice to find quotients and remainders. Word problems with data tables and division arithmetic.

Category:  Whole Numbers and Number Theory     Division     Quotients and Remainder


Worksheet: Fifth Grade

Patterns in Division - I


Learn to use facts and patterns to solve division problems having large numbers that are multiples of 10s or 100s.

Category:  Whole Numbers and Number Theory     Division     Patterns in Division


Worksheet: Fifth Grade

Patterns in Division - II


Solve for unknown in a division statement using facts and division patterns. Apply them to solve a collection of word problems.

Category:  Whole Numbers and Number Theory     Division     Patterns in Division


Worksheet: Fifth Grade

Patterns in Division - III


Use division patterns to solve division of large numbers by other whole large numbers. Looks scary but actually it is not.

Category:  Whole Numbers and Number Theory     Division     Patterns in Division



Write and evaluate numeric and algebraic expressions having multiplication and division. Learn about the order of operations.

Category:  Whole Numbers and Number Theory     Division     Expressions: Muliplication and Division



Define a variable for the unknown and use it to build an expression. Use multiplication, division, and order of operations to build and solve equations.

Category:  Whole Numbers and Number Theory     Division     Expressions: Muliplication and Division



Evaluate algebraic expressions using the given value of the variable by using substitution. Solve problems using order of operations.

Category:  Whole Numbers and Number Theory     Division     Expressions: Muliplication and Division


Number Theory

Worksheet: Fifth Grade

Prime and Composite Numbers - I


Identify prime and composite numbers. See how factorization helps in determining whether the number is prime or composite.

Category:  Whole Numbers and Number Theory     Number Theory     Prime and Composite Numbers


Worksheet: Fifth Grade

Prime and Composite Numbers - II


List prime and composite numbers between 1 and 100. Some tricky word problems to test your understanding of them.

Category:  Whole Numbers and Number Theory     Number Theory     Prime and Composite Numbers


Worksheet: Fifth Grade

Organized Lists - I


Analyze a word problem and find and collect the data from it. Make organized list of the data you found and use them to find the combinations.

Category:  Whole Numbers and Number Theory     Number Theory     Organized Lists


Worksheet: Fifth Grade

Organized Lists - II


Make organized lists to find possible ways or arrangements. Some exciting word problems that you face each time you order food.

Category:  Whole Numbers and Number Theory     Number Theory     Organized Lists


Worksheet: Fifth Grade

Exponent and Square Numbers - I


Understand the terms base and exponent. Using base and exponent, find the value of an exponent number or vice versa.

Category:  Whole Numbers and Number Theory     Number Theory     Exponents and Square Numbers


Worksheet: Fifth Grade

Exponent and Square Numbers - II


Convert multiplication expression to a number in exponent form. Compare exponents. Use your understanding to solve some word problems.

Category:  Whole Numbers and Number Theory     Number Theory     Exponents and Square Numbers


Worksheet: Fifth Grade

Prime Factors - I


Learn using a factor tree to find prime factors of whole numbers. Apply your skill to find the largest common factor of two numbers.

Category:  Whole Numbers and Number Theory     Number Theory     Prime Factorization


Worksheet: Fifth Grade

Prime Factors - II


Practice problems to help you learn more about prime factors. Some test preparation problems are also in the worksheet.

Category:  Whole Numbers and Number Theory     Number Theory     Prime Factorization


Worksheet: Fifth Grade

Scientific Notation - I


Learn how to write really large numbers using base 10 and exponents. Use scientific notation to write large whole numbers and vice versa.

Category:  Whole Numbers and Number Theory     Number Theory     Scientific Notation


Worksheet: Fifth Grade

Scientific Notation - II


Understand how scientific notation is used to write large numbers involving planetary distances etc.

Category:  Whole Numbers and Number Theory     Number Theory     Scientific Notation