Number systems

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Success Criteria
Aim
I can compare numbers and determine the value

of each digit.

I can identify patterns in the way numbers are written.
I can organise my ideas clearly.
I can identify the value of each digit in a number.

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Can you identify numbers from different number systems?
The Big Question

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Beginning
Contents
Preparing
Exploring
Reviewing
The Big Question

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Beginning

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Our Number System
In our number system, we use certain digits to

represent numbers:

1, 2, 3, 4, 5, 6, 7, 8, 9

We use 0 as a place holder.

We can combine these digits in different ways to make numbers.

3 485 994

3904

792

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Our Number System
The value of a digit depends on its position

in a number.

4 865 037

What does the 5 represent?

What does the 0 represent?

What is the value of the 4?

4 millions

5 thousands

0 hundreds

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Our Number System
Our number system is standard, so once someone knows

the digits and understands place value, they can read and understand any number.
Work with your partner to read the following numbers and answer the questions to show your understanding.

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Understanding Numbers
568 392
Five hundred and sixty-eight thousand, three hundred and ninety-two.
8

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7 957 001
Understanding Numbers
Seven million, nine hundred and fifty seven thousand

and one.

Nine hundred thousands.

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43 005 830
Understanding Numbers
Forty-three million, five thousand, eight hundred and thirty.
Four

million, three hundred thousand, five hundred and eighty-three.

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Different Systems
Our number system is not the only number system. There

are many other number systems used by different people and for different purposes.
Our number system is a base 10 system, which means it uses ten symbols to represent numbers. Some number systems have different bases, such as binary, which is a base 2 system, or hexadecimal, which is a base 16 system. Binary uses just two symbols to represent numbers, while hexadecimal uses 16 symbols to represent numbers.
Other number systems are base 10, like ours, but use different symbols to represent the 10 digits.

1 2 3 4 5 6 7 8 9 0

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Different Systems
Today, we are going to be looking at different number

systems.
We will focus on the Arabic, Chinese and Hindu number systems, as well as our own.
These are all base 10 number systems.

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Understanding Number Systems
The following chart shows six numbers written in each

of the four different number systems.

Your challenge is to sort the numbers into the four different systems and identify all six numbers in each number system.

You can also see this chart on your Number System Sorting Activity Sheet.

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Understanding Number Systems

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Preparing

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Identifying Patterns
Our challenge is to identify all six numbers in each

of the four number systems.

We can start by looking at the numbers we recognise from our own system, then looking for patterns in the way the numbers are written.
Look for similarities in the way the numbers are written. For example, it may help you to look for numbers that are written as single symbols. You may find it useful to look for the 'longest' numbers, or those written with the most symbols. Some numbers might have two of the same symbol, so this can help you to identify which number it represents. There may be some numbers that share the same symbols. Look for these things to help you.

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