Number and Place Value

Representing numbers using place value counters to represent 1, 10 and 100.

What numbers are represented by the images?

More representing numbers to 1,000.

What numbers are represented in the questions below?

Using place value grids with numbers in the thousands.

More place value grid challenges for numbers in the thousands.

How many different numbers can be made by placing four stars in a place value grid.

As well as worksheets some ideas on how to get across the idea of thousands, hundreds, tens and units.

Reading and writing 4-digit numbers.

Finding the value of digits in 4-digit numbers.

A look at different ways of partitioning 4-digit numbers.

Partitioning numbers in the thousands.

More partitioning thousands.

Finding combinations of possible answers using numbers in the thousands.

Identifying numbers up to 10 000 and adding 10, 100 and 1 000 to numbers.

Place value and partitioning as well as writing larger numbers in words and figures. Many children find working with larger numbers very difficult, even with the help of a calculator.

Ordering attendances at football clubs.

More work on ordering 4-digit numbers.

Rounding numbers up or down to the nearest whole ten.

More practice at rounding to the nearest whole 10.

Rounding to the nearest 10 including Roman numerals

Rounding to the nearest 100.

More rounding to the nearest 100.

Round 3-digit numbers to 10 or 100.

Quick practice for rounding 4-digit numbers to the nearest 1,000.

Rounding numbers to the nearest 100 or 1000.

Finding all the possible answers to rounding problems.

Finding all the possibilities and explaining reasoning behind answers.

Estimating on a number line up to 10 000.

Tricky problems involving estimating amounts of money in the thousands.

Finding one more than a number sounds easy, but finding one more than numbers such as 2999 can prove tricky.

Comparing and ordering numbers in the hundreds.

Comparing and ordering numbers in the hundreds.

Comparing and ordering the ages of houses in a village.

What price a car? Ordering according to price.

Kings and Queens provide the data for these sets of ordering numbers.

Ordering the dates of birth of famous people.

Ordering the dates of famous events.

Comparing the birth dates of famous people.

Comparing the dates of various famous events.

Finding one thousand more or less than a number.

Finding the number half way between two other numbers is not always easy. There are number lines to help with this as well as counting on in ones, tens and hundreds.

Using < and > to complete statements with numbers in the thousands.

Counting on in multiples of 6 using 4-digit numbers.

Counting back in multiples of 6 using 4-digit numbers.

Count in multiples of 6 with numbers in the thousands.

Count in multiples of 6 with numbers in the thousands.

Count in multiples of 6 with numbers in the thousands.

More counting in multiples of 6.

Count in multiples of 6.

Counting on in multiples of 7 using 4-digit numbers.

Counting on in multiples of 7 using 4-digit numbers.

Count in multiples of 7 with numbers in the thousands.

Count in multiples of 7 with numbers in the thousands.

Count in multiples of 7 with numbers in the thousands.

More counting in multiples of 7 with numbers in the thousands.

Count in multiples of 8 beginning in the thousands.

Count in multiples of 8 beginning in the thousands.

Counting in multiples of nine with numbers in the thousands.

More counting in multiples of 9.

Count in multiples of 9 with numbers in the thousands.

More counting in multiples of 9.

Count in multiples of 6, 7 and 8 with numbers in the thousands.

Count in multiples of 6, 7 and 8 with numbers in the thousands.

Count in multiples of 6, 7 and 8 with numbers in the thousands.

Count in multiples of 6, 7 and 8 with numbers in the thousands.

Count on and back in multiples of 6, 7 and 9.

More exercises counting on in multiples of 6, 7 or 9.

When counting up or down in tens or hundreds it can get tricky either side of the thousand boundary. These pages will help children gain confidence counting on and back.

Counting on and back in multiples of 25.

Counting in sets of twenty five.

Counting blocks of 25 with extras to add.

Counting in whole hundreds and twenty fives.

Using 1000 cubes to help with counting.

Counting in thousands using counters.

Counting in thousands with visual help.

More counting in thousands.

Counting on in multiples of 1 000.

More counting on in whole thousands.

Estimating numbers up to 10 000 on a number line.

Using part-whole models with thousands.

Counting in thousands hundreds tens and ones using counters.

Using levels in a department store to help understand negative numbers.

Using levels in seafront apartments to help understand negative numbers.

The cards at the end of this module are needed to complete these pages. Print onto card and cut them out.

Reading temperature is a great way to practise using negative numbers. Try ordering negative numbers as well.

More ordering negative numbers on a number line, including 'tables' in negative numbers!

The more than and less than signs should be familiar, now they can be put to use with negative numbers. There is more on ordering larger numbers as well.

Using temperatures in Winnipeg, Canada to investigate negative numbers.

Using temperatures in Irkutsk, Russia to investigate negative numbers.

A look at parts of the world with very low temperatures, below freezing.

Reading negative numbers in the context of temperature.

Understanding tenths and counting on in tenths.

Writing the values of ones and tenths.

Using a ten frame to help adding decimals.

Using part-whole models to add decimals, making a total of 1.

Using a ten frame and part-whole models to make a total of 1.

Practice with partitioning hundredths into tenths and hundredths.

These pages show how money is one of the best ways to explain decimal fractions. There are also worksheets on conversions of metric measures of length, using decimals.

Each rectangle is one whole one and each part is one tenth. How much is shown by the shading?

Placing decimals in ascending and descending order.

A look at decimal fractions, how to say them, how to order them and how to work out the value of the digits.

More on decimal fractions, including some tricky estimating on number lines and calculator work which requires sharp mental skills.

It?s time to take a closer look at hundredths. Work includes completing number lines and ordering numbers with two decimal places.

Revision of odd and even numbers, including sequences and rules about adding an odd number and an even number etc.

Find the missing numbers in the sequences and then write the rule that the sequence follows.

A number square is a great resource for exploring number patterns. Describe patterns and predict the next number in a sequence.

Reading and writing Roman numerals up to 100 (I to C) and beyond.

Reading and writing Roman numerals up to 100.

Using Roman numerals to add and subtract.

By entering 4 + + = you can make your calculator into an ?add 4?machine. Follow the instructions on these pages. Useful when adding the same number lots of times or looking at patterns and sequences.

Use your calculator as a check to see if these negative numbers questions are correct.

A guide to the expectations in Year 4 on understanding and using numbers.

A look at the statutory requirements for Year 4 Number.