### 4th Grade Math Worksheets (Grade 4 - For Ages 9 to 10)

Students from the ages of nine to 10 will find these worksheets right at their
level, based on national standards. You might need some quick Do Nows, also
called mad minutes, that are aligned to the math curriculum; we have a complete**4th
grade section here**.

### Division and Multiplication Skills

- Dividing by Double Digits (No Remainders) | Answer Key - These are whole number division problems. We purposely made the divisor smaller than the front end of the dividend.
- Dividing by Double Digits (with Remainders) | Answer Key - Every problem has a remainder as part of quotient. They are well spaced out. This is our third revision of these problems. The image is a little off from the actual PDF version.
- What's the Remainder? | Answer Key - We just want you to determine the remainder in this worksheet. You don't need to worry about anything else.
- Word Problems with Remainders | Answer Key - This one is great for football season. The topic really motivates young students. Also we end off with burgers.
- Dividing by Triple Digits (No Remainders) | Answer Key - These can take some time. We were very conservative on the allotted time. We have seen this take a half an hour for some students. Once they have mastered it, they should be able to so it in under 10 minutes.
- Dividing by Triple Digits (with Remainders) | Answer Key - This set is well spaced out to allow you plenty of room to work with. This skill can take a long time to perfect.
- Find the Missing Factors | Answer Key - Find the missing portion of each product. This is a key fourth grade skill. It appears often on nationally recognized tests.
- Mental Multiplication | Answer Key - Towards the end of the school year students should be able to do all these problems in their head.
- Name the Factors 0 to 100 | Answer Key - Find all the factors of each number. A quick heads up for you; the last two numbers are primes.
- Super Quick Multiplication Charts | Answer Key - This is another sheet that students should be able to rapid fire the answers out for. We set it up in a way that requires them to do it in their mind.
- Large Products | Answer Key - This is a quick multiplication worksheet. More advanced students might be able to do this in their head.

### Fractions and Mixed Numbers

- Fraction Comparisons | Answer Key - Compare fractions and that have different numerators and denominators. Find common ground first.
- Fraction Addition | Answer Key - All denominators are within multiples of 3 of each other to make it a bit easier.
- Matching Visual Decomposed Fractions | Answer Key - This is an interesting activity to see if students can think about fraction in an abstract sense.
- Adding Mixed Numbers | Answer Key - Please note that all the fractional portions of the mixed numbers have the same denominator. This will make it not as intimidating for students. Also that is what the standards call for at this grade level.
- Subtracting Mixed Numbers | Answer Key - The denominators are the same to make it easier for students that are new to this skill.
- Fraction Word Problems | Answer Key - These are hard concepts for kids to grasp. We highly recommend drawing pictures and writing each step as you proceed through each problem.

### Decimals, Patterns, and Place Value

- Decimal Addition (Double Digits and Tenths) | Answer Key - We just start to work with decimals at this level, so we begin with the tenths place. The next grade level advances much further.
- Decimal Subtraction (Double Digits and Tenths) | Answer Key - For some odd reason students seem to have an easier time grasping decimal subtraction than sums. I'm really not sure why this is, but many of my colleagues concur with this opinion.
- Make and Understand Patterns | Answer Key - This is a good critical thinking activity. Students have to think outside of their norm for the first time.
- Compare the Value of Places | Answer Key - Make sure to re-explain the directions. You need to compare the value of the underlined place, not the value of the integer.
- Round to the Nearest Place | Answer Key - You are given one number and then you are asked to round it in three different ways. This really helps put rounding into the context of its use.

## What Do Students Learn in 4th Grade Math?

Students start learning more complex math operations in grade 4. They will begin using more mental and writing skills in large value calculations. They will deal with negative numbers, fractions, and conversion between units of measurement.

Teachers and parents must be patient with their children when they are dealing with these important concepts. They are introduced to all four operations of addition, subtraction, multiplication, and division, involving large 5 or 6-digit numbers.

A positive attitude and support while learning are surely going to make them understand these new ideas effectively. There are always a lot of opportunities at home or classroom to help students be fluent and efficient with these math operations. Here are some 4th grade math skills that are important for students.

**Addition**

Students learn about the addition of 5 to 6 digit numbers. They already know all the properties of addition, and need a little more practice and help when they are dealing with the addition of big numbers.

An example of addition between 5-digit numbers is the addition of 12,336 + 45,221. Students in grade 4 will easily solve this math problem since they know how to add large numbers. They also know the properties of addition like order property, grouping property, etc.

**Subtraction**

The students learn in 4th grade the subtraction of large 5-digit numbers and 6-digit numbers. E.g. 47,321 - 32,541. They apply methods like mental calculations, models, grids, and columns to easily solve these problems.

The same knowledge of unit places like ones, tens, hundreds, thousands, and ten thousands is applied. They know the basic concepts of subtracting a number from itself, subtracting numbers from zero, etc.

**Geometry**

The children already know basic 2-D or 3-D shapes, and in grade 4, they are expected to make a comparison between these shapes based on their properties and formulas. They have the knowledge of symmetry and drawing mirror images and coordinate grids.

**Understanding Bigger Numbers**

Students learn to understand multi-digit numbers. They know 1, 2, 3, and 4-digit numbers by the time they are in grade 4, and they learn numbers bigger than 4-digit numbers in 4th grade. The biggest 3-digit number is 999, and adding 1 makes 1000, which is a 4-digit number.

1000 is the smallest 4-digit number, and 9999 is the biggest 4-digit number. Adding 1 to 9999 gives 10,000, which is a 5-digit number.

They know that the first unit place is ones, the second place is tens, the third is hundred, the fourth is thousands and the fifth is ten thousands. They also learn to count numbers backward, for example, from 10 to 0, and from 0 to -10.

4th grade students can also easily round off numbers to their nearest 10, 100, and 1000. For example, rounding off 769, to 770.

**Multiplication**

In 4th grade, students learn properties of multiplication, and multiplication by the numbers with base units 10, 100, and 1000.

Students also know the multiplication tables up to 12, and the multiplication and division involving them. They can easily solve operations with two basic operations like addition and multiplication. For example, in 2(5 + 7), and are familiar with basic multiplication properties like order property or multiplicative property of multiplication. They can also multiply a 3-digit number by a 4-digit number, etc.

**Division**

Students have learned the basic division of small numbers and are familiar with terms like quotient, dividend, divisor, and remainders. They can divide large numbers, like 135 by 5.

They also know the connection between fractions and division.

**Fractions**

Students are given a basic knowledge of fractions in 4th grade, and they are also able to perform complex operations like multiplying fractions and equivalence.

They will also learn to compare two given fractions with different numerators, or denominators. They will also learn to multiply fractions by whole numbers. They will be able to understand the difference between a ½ teaspoon and 1/4th of a teaspoon.

**Measurement**

Kids in 4th grade can easily convert measurement units, intervals of time, units of money, etc., since they already know the basic mathematics of addition, subtraction, multiplication, and division.

For example, if given a quantity in grams, they will be able to divide it by 1000 to convert it into kilograms. Or if we give the students an interval of time like hours, they will be able to multiply it by 60 to convert it into minutes.

Giving the students simple word problems involving different units of measurement is a good practice to help them polish these skills.

**Decimals**

4thgrade students learn that there are numbers smaller than 0 and that they involve decimals. They are taught the concepts of fractions and decimals. They will have an understanding of decimal places and can compare two numbers that are in the form of fractions.

They will be able to calculate which number is bigger if both of them have the same decimal place, for example, 2.5 is a bigger number than 2.4. Or 30.2 is a smaller number than 32.2.

**Area and Perimeter**

Students would be able to define and calculate area and perimeter. You can also ask your child to help you around the house and in the process throw some casual questions at them, for example, if the length of this wallpaper is 30 meters and the width is 20 meters, what is the total area of this wallpaper?

Or ask them if one side of this square clock is 6 inches, then what is the perimeter of this clock?

There are a lot of different things that students are required to learn in Grade 4. It is essential that they get the right amount of guidance and help from both their teachers and parents if you want them to be more efficient in these skills.