problem solving negative numbers year 4

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Negative Numbers Worksheet Hub Page

Welcome to our Negative Numbers Worksheets hub page.

On this page, you will find links to all of our worksheets and resources about negative numbers.

Need help practicing adding, subtracting, multiplying or dividing negative numbers?

You've come to the right place!

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Negative Numbers Worksheet

We have a wide range of negative number resources to help you understand and use negative numbers.

Here are the following resources we currently have on our site:

• What are Negative Numbers

Negative Number Lines

• Comparing Negative Numbers

Adding Negative Numbers

Subtracting negative numbers.

• Mutiplying Negative Numbers

Dividing Negative Numbers

• Negative Number Games
• Absolute Value Worksheets

What are Negative Numbers?

Negative numbers are numbers with a value of less than zero.

They can be fractions, decimals, rational and irrational numbers.

-13, -½ , -√2, -6.4 and -123 are all negative numbers.

We have a page dedicated to learning about negative numbers below.

We have a selection of number lines, both filled and blank that have been designed to support learning and understanding with negative numbers.

One of our pages contains just negative number lines, the other page contains both positive and negative numbers.

• Number Lines with Negative and Positive Numbers
• Number Line Negative Numbers only

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Comparing negative numbers

How to compare negative numbers

When you are comparing with negative numbers, everything swaps around and becomes a little more complicated!

With negative numbers, the more negative the number is, the lower its value.

As you go right along the number line, the values are increasing.

As you go left along the number line, the values are decreasing.

This means that any positive number (or even zero) will always be greater than any negative number.

• 0 > -3 this means 0 is greater than -3
• -8 < -5 this means -8 is less than -5
• -27 > -30 this means -27 is greater than -30
• -26 < 2 this means -26 is less than 2
• Ordering Negative Numbers -10 to 10

Randomly Generated Negative Number Worksheets

Our random worksheet generator will create a range of worksheets with values of your choice.

You can create your own unique worksheets complete with answers in seconds!

You can then choose to print or save your sheets for another time.

• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)

Adding & Subtracting Negative Numbers

• Adding and Subtracting Negative Numbers (randomly generated)

Multiplying Negative Numbers

• Negative Number Multiplication (randomly generated)
• Dividing Negative Numbers (randomly generated)

Multiplying & Dividing Negative Numbers

• Multiply and Divide Negative Numbers (randomly generated)
• Negative Numbers Games

Take a look at our collection of negative numbers games.

We have a range of games of varying levels of difficulty.

Our games include:

• counting backwards along a number line (easiest)
• comparing and sequencing negative numbers
• subtracting with negative answers
• using all 4 operations to get a negative target number (hardest)

We have a selection of worksheets designed to help students learn about asbolute value.

Topics covered include:

• absolute value and opposite numbers
• comparing absolute values
• absolute value arithmetic
• solving absolute value equations

How to Print or Save these sheets 🖶

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Negative numbers

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

10 March 2023

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Year 4 Negative Numbers Reasoning Practice

This Year 4 Negative Numbers Reasoning Practice checks your child’s understanding of using negative numbers in different contexts, including temperature. The questions consolidate understanding of counting backwards through zero from positive into negative numbers.

If you would like to access additional resources which link to this times table game, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 4 Negative Numbers Reasoning Practice is designed to check pupils’ understanding of using negative numbers in different contexts, including temperature. The questions consolidate understanding of counting backwards through zero from positive into negative numbers.

National Curriculum Objectives

Number – Place Value (4N5) Count backwards through zero to include negative numbers (4N6) Solve number and practical problems that involve 4N1 – 4N5 and with increasingly large positive numbers

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Round any number to the nearest 10, 100, or 1000

Your child will round numbers up or down to the nearest 10, 100, or 1000. This means figuring out which value of 10, 100, or 1000 any given number is nearest to.

6527 rounded to the nearest 10 is 6530.   6527 rounded to the nearest 100 is 6500.   6527 rounded to the nearest 1000 is 7000.

It is worth noting that numbers in the exact middle of a range are rounded up. For example, 249 rounded to the nearest 100 is 200, but 250 rounded to the nearest 100 is 300.

Solve increasingly complex number problems

Your child will be expected to solve problems involving:

• Negative numbers
• Large positive numbers.

Their knowledge of place value will be very useful for this. They will use physical objects, drawings, diagrams, and mathematical symbols to visualise problems.

Read and understand Roman numerals

How to help at home.

There are lots of ways you can help your child to understand number and place value. Here are just a few ideas:

1. Use place value charts

Place value charts can be a great way to help your child represent numbers. These charts will help your child to read, write, and compare numbers, as well as to understand zero as a placeholder. For example, in the number 6203, your child will be able to see that we write the 0 to represent that there are no tens.

2. Compare and order numbers

When comparing numbers beyond 1000, your child should look at the digit with the largest value first. For example, if your child is comparing the numbers 2765 and 3276, they would first need to look at the digit with the largest value, i.e. the thousands digit:

2765 has 2 thousands, and 3276 has 3 thousands, so 2765 is less than 3276.

However, if we compare the numbers 7565 and 7654, they both have the same number of thousands. Therefore, we now need to look at the hundreds digit:

7565 has 5 hundreds, and 7654 has 6 hundreds, so 7565 is less than 7654.

Try this game to practise comparing numbers. Write twenty two- and three-digit numbers and the ‘>’ and ‘<’ symbols on separate pieces of paper. Deal your child two numbers, face down. Ask them to turn over the pieces of paper and to use the ‘>’ and ‘<’ symbols to show which number is bigger or smaller.

Why not try again with a timer? How many pairs can they order correctly in 30 seconds?

3. Learn multiplication fact pairs

By the end of Year 4, your child should be able to recall all multiplication facts up to 12 × 12. Your child will be tested on their times tables in the Year 4 multiplication tables check .

You can help your child to practise their multiplication facts by playing pairs. Write out 12 multiplication questions (for example, 8 × 5) on small cards or pieces of paper. Then write out the corresponding multiplication answers (in this case, 40) on more cards.

Lay them all out on the floor or table at random, face down. Ask your child to turn any two cards over. Are they a matching question and answer? If they are, your child should keep them. If not, they should turn them back over. Take it in turns and keep going until all the pairs have been found.

Activity: Times tables

Video: What are multiples?

Find out all about multiples.

4. Use temperature to explore negative numbers

To help build your child’s familiarity with negative numbers, look for them in the real world. Vertical number lines like those seen on thermometers can help your child grasp the concept of negative numbers. In winter, your child could keep a weather diary and record the daily temperatures. They could then create a graph or chart to show the changes in temperature. Then you could then ask all sorts of questions about their data. For example:

‘What was the difference in temperature between Monday and Wednesday?’   ‘What is the difference between the highest temperature and the lowest temperature?’   ‘Did the temperature ever drop below 0°C?’

If it’s not a cold winter and the temperatures don’t drop below zero, your child could research countries around the world (including some cold ones!) and record their weather. Talk about the differences in temperatures together.

5. Learn Roman numerals

Point out Roman numerals in the modern world, like at the end of some TV programmes or in the introductions of some books. Help your child to understand that our number system has changed over time and that it now includes the concepts of zero and place value. You could investigate with your child why we changed from the Roman numeral system to our current Arabic number system.

Have a Roman numeral challenge. Can your child write the Roman numerals for key numbers, such as the number of the day they were born on, or their age? If your child has already started learning Roman numerals and you don’t know them, maybe they can help teach you!

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Counting Backwards — Negative Numbers (Year 4)

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In this worksheet, children must find the missing numbers in the sequences by counting in different steps. Each sequence contains a mix of positive and negative numbers to help children practise counting through zero.

Children can mark their own work using the answers provided.

Equivalent foundation and stretch level resources are also available.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Negative Numbers
• Topic Group: Number and Place Value
• Year(s): Year 4
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 24/10/2023
• Resource Code: M2WAT800
• Curriculum Point(s): Count backwards through zero to include negative numbers.

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Negative numbers: Reasoning and Problem Solving