Inequalities, Multiples and Factors

Welcome to the Math Salamanders 4th Grade Math Practice Worksheets.

Here you will find a wide range of free Math Worksheets which will help your child to learn to use inequalities, multiples and factors at a 4th grade level.

At Fourth Grade, children enjoy exploring Math with fun Math activities and games.
Children will enjoy completing these Math games and Free 4th Grade Math worksheets
whilst learning at the same time.

During Fourth Grade, most children learn to round off numbers to the nearest 10, 100, 1000, 10000, 100000 or million.
They are able to add columns of numbers together accurately, and subtract numbers proficiently.
They show a good understanding of place value in relation to decimals, and can add and subtract
decimals with up to 2 decimal places.

Children are able to multiply a range of whole numbers by one or two digits, and divide numbers by a single digit.
They can use their multiplication table facts to answer related questions.

Children are able to compare fractions, and know how to work out equivalent fractions.
They are able to solve multi-step problems involving whole numbers, fractions and decimals.

These free printable Fourth Grade Math Games, and other Grade 4 Math Worksheets will help your child
to achieve their Elementary Math benchmark set out by Achieve, Inc.

In the UK, 4th Grade is equivalent to Year 5.

These sheets have been designed to support your child with their learning of inequalities, multiples and factors.

The sheets are graded in order of difficulty with the easiest sheet coming first in each section.

Using these sheets will help your child to:

- Use the symbols > , < , and = correctly for equality and inequality;
- Know and understand what a multiple is and how to apply this;
- Know and understand what a factor is and how to apply this;
- Develop and practice their mental calculation skills.

All the free 4th Grade Math Practice Worksheets in this section support the Elementary Math Benchmarks for 4th Grade.

INEQUALITIES

There are two main symbols used to express an inequality:

- > the greater than symbol;
- < the less than symbol.

One way to remember the symbol is to think of it as a greedy mouth. The mouth will always try to eat the biggest number.

Examples

54 > 39

17 < 25

MULTIPLES

If a number is a multiple of another number, it means that it can be made out of adding groups of the other number together.

Examples

12 is a multiple of 4 because 4 + 4 + 4 = 12 (or 4 x 3 = 12)

27 is a multiple of 9 because 9 + 9 + 9 = 27 (or 9 x 3 = 27)

17 is not a multiple of 4 because it cannot be made by adding groups of 4 together.

FACTORS

A number is a factor of another number if it divides into it with no remainder.

In other words any number will always be divisible by all of its factors.

It is the opposite of a multiple.

Examples

12 is a multiple of 4 so 4 is a factor of 12 (12 is also divisible by 4)

27 is a multiple of 9 so 9 is a factor of 27.

7 x 4 = 28 so 7 and 4 are both factors of 28 (and 28 is also divisible by both 7 and 4)

Multiples

Using riddles is a great way to get children to apply their place value and number knowledge to solve problems.

It is also a good way to get children working collaboratively and talking about the language together.

You can also get the children to choose one of the numbers in the riddle and ask each other questions.

The sheets in this section cover similar areas to the worksheets on this page but are at an easier level.

Using these sheets will help your child to:

- round a number to the nearest 10, 100 or 1000;
- use the > and < symbols correctly for inequalities;
- use multiples and apply them to solve problems.

Take a look at some more of our worksheets similar to these.

Here you will find a range of Free Printable 4th Grade Decimal Place Value Worksheets.

The following worksheets involve using and understanding decimal notation - tenths and hundredths.

Using these sheets will help your child to:

- Understand decimals;
- Use place value notation with tenths and hundredths;
- Know how to read and write numbers to 10 million;
- Understand place value to 10 million.

All the Free 4th Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 4th Grade.

In our Math Place Value Practice area, you can practice your digit value skills - knowing what each digit in a number is worth. You can also practice your place value combining of thousands, hundreds, tens and ones. You can even use this area with decimals: tenths and hundredths.

The sheets in this area will help your child understand the use and purpose of the equals sign (=) in an equation.

It will also help children learn to start manipulating and calculating numerical expressions so that they are equivalent.

This will stand them in good stead for when they start to learn algebra, and manipulate algebraic equations.

Here you will find a range of printable mental math 4th grade quizzes for your child to enjoy.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math test or math quiz!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

- Online Times Table Practice
- Online + and - Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
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Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

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- Equivalent Fractions
- Printable Shapes
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- Perimeter Worksheets

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