Number and Place Value
By Year 5 children are expected to be working with larger numbers, including hundreds of thousands and millions. However, many children, and indeed adults, find it very difficult to read large numbers correctly. The solution is to section the digits off into groups of three, starting with the units.
The first group of three is read as hundreds, tens and ones.
e.g.789 is seven hundred and eighty nine
The second group of three is read as hundreds, tens and ones of thousands.
e.g. 456 789 is four hundred and fifty six thousand, seven hundred and eighty nine
The third group of three is read as hundreds, tens and ones of millions.
So: 123 456 789 is one hundred and twenty three million, four hundred and fifty six thousand, seven hundred and eighty nine
Whilst we read the number from left to right, working out the value of the number is easier by working in threes from right to left!
There is an emphasis on using large numbers in Years 5 and 6. For example, the new targets for Year 5 Number includes:
round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000
Now this might sound fairly straightforward but for many children it will pose considerable difficulty. By Year 5, children should already be able to round to the nearest 10, 100 and probably 1 000, but dealing with very large numbers can cause confusion.
When rounding to the nearest 10 000 the key figure is the thousands digit. If the thousands digit is 5 or above, round up. If it is below 5, round down.
e.g. 327 550 is 330 000 to the nearest 10 000.
324 259 is 320 000 to the nearest 10 000
(Note that when rounding to the nearest 10 000 it does not matter what the hundreds, tens or oness digits are, it is the THOUSANDS digit which must be looked at.)
When rounding to the nearest 100 000 the key figure is the ten thousands digit. If the ten thousands digit is 5 or above, round up. If it is below 5, round down.
e.g. 277 550 is 300 000 to the nearest 100 000.
237 259 is 200 000 to the nearest 100 000
Counting forwards and backwards for any given number up to one million.
Counting on from large numbers in powers of ten.
Fill in the missing numbers in the sequences. Firstly, the pattern of the sequence has to be worked out.
Some fascinating patterns can be made on a number square by counting on in equal steps.
Counting on in hundreds using 4-digit numbers.
Counting on in thousands using 5-digit numbers.
Completing number sequences where the numbers increase or decrease by 10 000, 1 000 or 100. Add 10, 100, 1 000 and 10 000 to a number.
What can you say about 5-digit numbers? Excellent place value work.
Read, write and compare numbers
Read, write and compare numbers up to one million.
Reading and writing 5-digit numbers with visual help.
The easiest way to read large numbers is to think of them as blocks of three, starting with hundreds, tens and ones.
Reading and writing 6-digit numbers.
Even adults can have problems reading numbers in the millions!
Comparing numbers, lengths and amounts and finding the number half way between two others.
Straightforward ordering of 5-digit numbers.
Finding multiples of 10,000 more than 6-digit numbers.
Finding more than or less than with 6-digit numbers.
Compare and order 6-digit numbers.
Comparing populations of towns with up to 6-digit numbers.
Determine the value of each digit in numbers up to one million.
Using place value grids to help with working with large numbers.
Using place value grids to understand larger numbers up to 100,000s.
Understanding place value is crucial to being able to read large numbers.
What numbers do digits represent? It all depends on their place.
Use the digits to make as many decimal numbers as possible. Order decimals.
Working with decimals, including thousandths.
Reading and writing small decimals, including thousandths.
Round any number up to millions, to the nearest 10, 100, 1000, 10 000 and 100 000.
Estimating and approximating.
More on rounding to the nearest 10, 100 or 1000. Some interesting facts on mountains and oceans.
Rounding large numbers to the nearest 10000, 1000 and 100.
Rounding football attendance figures to the nearest 1000 and 10000.
Rounding county populations to the nearest 10 000 and 100 000.
Rounding numbers in the hundreds of thousands to the nearest, 100, 1 000, 10 000 and 100 000.
Number lines with numbers only at each end make it tricky to say where the arrows are placed. Some degree of error has to expected with this task!
Judge which is the best approximate answer by rounding numbers.
Interpret negative numbers in context, counting forwards and backwards, including through zero.
Using number lines to help with negative numbers.
If it?s been a cold winter everyone will be used to using negative numbers!
Use a number line to count on and back across zero.
Finding numbers more than or less than using negative numbers.
More practice with adding on to negative numbers.
Read Roman numerals up to 1 000 (M) and recognise years written in Roman numerals.
Other number work
Solve number problems.
Add and subtract 10, 100 and 1000.
Here we have some word problems which can all be solved by multiplying or dividing by 10 or 100.
Tricky questions about everyday objects. A calculator might help with some of these.
A quick look back including multiplying and dividing by 10 and 100, ?in your head?.
An introduction to factors and finding the factors of 24.
Tips and hints on using a calculator, including negative numbers and recurring decimals.