1. Mathematics
Place Value - Integers

2. The aim of this powerpoint is to teach you about place values within whole numbers (i.e. integers) as well as how to read and write whole numbers.
EITHER
Take notes as you go along (and include some examples) OR
At the end of the powerpoint, printout the notes called Calc1a

3. Place Value Column Labels
We use a decimal or denary number system
This means that every 10 in one column is worth 1 in the next column on its left.
So 10 in the units column = 1 in the ‘tens’ column
So 10 in the tens column = 1 in the ‘hundreds’ column
So 10 in the hundreds column = 1 in the ‘thousands’ column and so on… …
Million
Hundred Thousand
Ten Thousand
10 000
Thousand
1000
Hundred
100
Ten 10
Unit 1

4. Place Value Column Labels
… Millions Thousands HTU …
Million
Hundred Thousand
Ten Thousand
10 000
Thousand
1000
Hundred
100
Ten 10
Unit 1
The integer (ie. whole number) parts of any number lie to the left hand side of the decimal point.
If the decimal point is not shown then you can write it in directly after the units (click to see it appear).

5. Writing numbers in words
To write a number in words, imagine the figures lined up in their column values.
For numbers less than 10,000 start on the left and write each digit in words followed by its column value.
The exception comes if there are any tens as we have special names for these, so we don’t write five tens, we write fifty...
E.g in words would be…
… TTh Th H T U
Five thousand, six hundred and two

6. Writing bigger numbers
From right to left, imagine your digits in sets of three splitting the millions from the thousands from the HTU…
But when writing remember to start on the left…
Write 4,502,497 in words
… Millions Thousands HTU …
…HM TM M HTh TTh Th H T U
When you have worked our your answer click to check
Four million, five hundred and two thousand, four hundred and ninety-seven

7. Practice Have a go at writing these numbers in words on paper.
When you have ALL your answers, click to check them.
759
(or 12,418)
(or 205,661)
(or 256,810,922)
… HM TM M HTh TTh Th H T U
Two hundred and fifty-six million, eight hundred and ten thousand, nine hundred and twenty-two
Two hundred and five thousand, six hundred and sixty-one
Twelve thousand, four hundred and eighteen
Seven hundred and fifty-nine

8. Writing numbers in figures
For numbers smaller than 10,000…
Imagine the column values and as you read the number put the digits in the correct column value.
If a column value is not mentioned, write in a zero
E.g. Two thousand and forty-three (rem. forty = 4 tens)
… TTh Th H T U

9. Writing numbers in figures
For larger numbers imagine your digits in sets of 3 (separating millions from thousands from HTU)…
As you read the number put the digits in the correct group of column values.
If a column value is not mentioned, write in a zero
E.g. Sixteen million, three hundred and eight thousand and twelve
E.g. Sixteen million,
three hundred and eight thousand
and twelve
… HM TM M HTh TTh Th H T U

10. Practice Have a go at writing these numbers in figures on paper.
When you have ALL your answers, click to check them.
Eight hundred and twenty-three
Forty-one thousand and fifteen
Six hundred and fifty-two million and eight
… HM TM M HTh TTh Th H T U

11. What next?
If you haven’t made notes and copied examples, questions and answers during this powerpoint, print out the notes called Calc1a. Read through the first 3 pages and make sure you answer any questions.
Work through the MyMaths lesson (and then the online homework) called HTU Place Value found at:
Optional: Work through the MyMaths lesson (on then the online homework) called Place Value Hundreds and Thousands found at:
Complete the worksheet called PVInt-S1.xlsx
Now move on to the Calc1a-DecPV powerpoint