Albert Teen YOU ARE LEARNING:  Integers and Place Values  # Integers and Place Values ### Integers and Place Values

Integers can be positive, negative or zero. You use place value to compare and order integers.

1

Integers play an important part in maths. What type of number is an integer? 2

Integers are whole numbers. They can be used to count things and don't have a decimal part.

All the numbers on this number line are integers. And what do you think is the highest integer in the world? 1

So integers can be infinitely positive or infinitely negative.

That is what the arrows at either end of the line show. They say: "Continue forever." 2

True or false? The number -5 is a negative number?  3

True or false? The number 5 is also a negative number?  4

But what about 0? How can we describe that?  5

So integers can be positive, negative or zero.

The negative numbers, like -3, are to the left of 0 The positive numbers, like 3, are to the right of 0

0 is neither negative nor positive. Four of these are true statements about integers. Pick all 4 correct statements. Pick the 3 numbers in this list that are integers. 1

Place values organise numbers so we can identify their value and put them in order.

It also helps us write a number in figures when we hear someone say it.

2

The different individual digits in an integer stand for different values

For example, the digit $6$ in $1,672$ is in the hundreds place, so it's "worth" $600$ 3

How much is the digit 7 worth in 1,672?  4

How much is the digit 1 worth in 1,672?  5

The different digits have different "place values". The units have the smallest value and are always on the right of the number.

The digit $1$ has place value $1,000$ so it's worth $1,000$ The digit $6$ has place value $100$ so it's worth $600$ The digit $7$ has place value $10$ so it's worth $70$ The digit $2$ has place value $1,000$ so it's worth $1,000$ How much is the digit 2 worth in the integer 923? How much is the digit 7 worth in the integer -8,497? 2,496 is the same as... Pick the highest integer in this list. Pick the highest integer in this list. 1

We have used place value to determine what a number is and seen place values up to thousands.

But there are numbers much bigger than this.

2

Large numbers can sometimes be a bit daunting. Look at this number - how would say it in words?  3

This number is one million two hundred and fifty six thousand three hundred and fifty four.

That's a lot to write and using figures makes it neater. 4

With large numbers we often separate groups of three digits (starting from the right) with a comma

This breaks the number up and makes it easier to read, say and write. Remember that $1,256,354$ and $1256354$ are the same number. 5

How much is the digit 2 worth in 1,256,354?  6

Large numbers can be tricky.

Using place values helps us to make sense of them. 1

To summarise! Integers are whole numbers

They can be positive, negative or zero. 2

The digits in an integer have different place values.

For example, the digit $6$ in the integer $1,672$ has place value hundreds, so it's worth $600$ 3

To work out which integer is higher, you check which number has digits at the highest place value and which of those digits is bigger.

$1,672$ is higher than $672$ because it has thousands. $672$ is higher than $472$ because it has 6 hundreds, not just 4 hundreds. 