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Rounding to Decimal Places Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Rounding to decimal places
The process of reducing the number of digits after the decimal point while keeping the value as close as possible to the original.
Decimal place
The position of a digit to the right of the decimal point. For example, the first decimal place is the first digit after the decimal point.
Step 1 of rounding to decimal places
Identify the digit in the required decimal place.
Step 2 of rounding to decimal places
Look at the digit immediately to the right of the required decimal place.
Rule for rounding up
If the digit to the right is 5 or greater, increase the digit in the required decimal place by 1.
Rule for rounding down
If the digit to the right is less than 5, keep the digit in the required decimal place the same.
Effect of rounding on trailing digits
All digits to the right of the required decimal place are removed after rounding.
Example: Round 3.456 to 2 decimal places
The answer is 3.46 because the third decimal place (6) is 5 or greater, so the second decimal place (5) is rounded up.
Example: Round 7.432 to 1 decimal place
The answer is 7.4 because the second decimal place (3) is less than 5, so the first decimal place (4) remains the same.
Why rounding is important
Rounding simplifies numbers for easier interpretation and use, especially in real-world contexts like measurements and estimates.

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