Rounding and approximations (OCR GCSE Maths): Flashcards

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Rounding and approximations
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Definition of rounding

Process of simplifying a number while keeping its value close to the original

The key digit in rounding

Last digit you want to keep in your rounded number

Rule when unwanted digit is 55 or above

Add one to the key digit

Rule when unwanted digit is less than 55

Leave the key digit as it is

Key digit 99 with unwanted digit 55 or above

Changes 99 to 00 and increases digit to left by one

Decimal places (dp)

How many digits kept after the decimal point

Number of decimal places to give in answer

Exactly the number requested, no more, no less

First significant figure

The first non-zero digit in a number

What does the symbol mean?

Approximately equal to

When are approximations useful?

When exact answer not needed or working without calculator

Second significant figure

Digit immediately to right of first significant figure

Why use zeros when rounding to 10, 100, 1000?

To maintain the correct place value

Size of rounded number using sig figs

Should be similar to the original number

Round 5.6395.639 to 11 dp

5.65.6

Round 28.5328.53 to 11 significant figure

3030

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