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Master place value in KS3 maths. Read, write, and compare large and decimal numbers by understanding digits' positions from millions to thousandths, and the value each position represents.
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Fascinating Fact:
In large numbers, commas or spaces are used to group digits into thousands, making them easier to read, such as 1,000,000.
In KS3 Maths, place value tells you what each digit is worth based on its position. You will read and write whole numbers and decimals, use zero as a placeholder, and compare values by looking at each place in turn.
Key Terms
Place value: The value a digit has because of where it sits in the number (ones, tens, hundreds, tenths, and so on).
Digit: Any single number symbol from 0 to 9 used to build whole and decimal numbers.
Decimal point: The dot that separates whole numbers from fractional parts (for example, 12.34).
Frequently Asked Questions (Click to see answers)
How do you write large numbers using place value?
Group digits in threes from the right to help reading: 3456789 is 3,456,789. Say it using place names: three million, four hundred fifty-six thousand, seven hundred eighty-nine.
What is the value of a digit in a decimal?
Each place after the decimal point is a fraction of a whole. The first is tenths, then hundredths, then thousandths. For 6.407, the 4 is four tenths.
How do I compare numbers with different decimal places?
Line up decimal points and compare place by place. If needed, add trailing zeros so both have the same number of decimal places before deciding which is larger.