Produced by MEI on behalf of OCR © OCR 2013 Introduction to Quantitative Methods Standard Form.

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Produced by MEI on behalf of OCR © OCR 2013 Introduction to Quantitative Methods Standard Form

Produced by MEI on behalf of OCR © OCR 2013 This table shows the number of visitors to four tourist attractions … Blackpool tourist information service claimed it had more visitors than the other three added together How do you know if this is true? Blackpool Pleasure Beach6·2 million Edinburgh Castle Alton Towers4·07 x 10 5 Madame Tussauds2·6 million

Produced by MEI on behalf of OCR © OCR 2013 Revision of Powers Powers are useful for writing large numbers easily 10 3 =10 x 10 x 10 = = 10x10x10x10x10x10x10 = zeroes

Produced by MEI on behalf of OCR © OCR 2013 Powers of ten

Produced by MEI on behalf of OCR © OCR 2013 Powers of 10 ThousandHundredTenUnitTenthsHundredthThousandth

Produced by MEI on behalf of OCR © OCR 2013 Check

Produced by MEI on behalf of OCR © OCR 2013 Working with big numbers The distance of the earth from the sun is about 149 million km We can write this as It is usual to leave a space after every three digits from the right.

Produced by MEI on behalf of OCR © OCR 2013 Working with big numbers This makes the numbers easier to read and the zeroes easier to count Three zeroes at the end reads as a thousand Six zeroes at the end reads as a million So would be written as and would read as million

Produced by MEI on behalf of OCR © OCR 2013

Writing in Standard Form Ordinary Number Standard Form Write the number in standard form Remember if a number is in standard form it must have 1 number before the decimal point So Write the number with the decimal point after the first non zero number In this case 8.76 What do you need to multiply by to make this the number we wanted?

Produced by MEI on behalf of OCR © OCR 2013 Writing in Standard Form

Produced by MEI on behalf of OCR © OCR 2013 Example – write 2509 in Standard Form x 10

Produced by MEI on behalf of OCR © OCR 2013 Practice

Produced by MEI on behalf of OCR © OCR 2013 Working with small numbers The size of a Carbon atom is cm – a tiny number How would we write this in standard form? First write the number with the decimal point after the first non zero number This is 2.2 What do you need to multiply this by to get back to the number we want?

Produced by MEI on behalf of OCR © OCR 2013 x 0.1

Produced by MEI on behalf of OCR © OCR 2013 Writing x 0.1

Produced by MEI on behalf of OCR © OCR 2013 Example – write in Standard Form x 0.1

Produced by MEI on behalf of OCR © OCR 2013 Practice

Produced by MEI on behalf of OCR © OCR 2013 Changing numbers in Standard Form back to Ordinary numbers

Produced by MEI on behalf of OCR © OCR 2013

Practice

Produced by MEI on behalf of OCR © OCR 2013 Changing small numbers in Standard Form back to Ordinary numbers

Produced by MEI on behalf of OCR © OCR Answer

Produced by MEI on behalf of OCR © OCR 2013 Practice