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Writing Numbers including Standard Form (F)

You may be able to count a long way, but how are you with the really big numbers?

Writing Numbers including Standard Form (F)

Master reading and writing numbers: place value, words to numerals, comparing sizes, rounding, and using standard form (scientific notation) in GCSE Foundation Maths.

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Fascinating Fact:

For a quick compare, 6.2 × 10⁷ is bigger than 5.9 × 10⁷ because the powers match, so compare 6.2 and 5.9.

In GCSE Maths, reading and writing numbers covers place value, number names, comparing sizes, rounding, and standard form. You will convert between words and digits, order numbers, and use scientific notation correctly.

Key Terms

Place value: The value a digit has because of its position, e.g., in 4,507 the 5 means five hundreds.
Standard form: Writing numbers as a × 10ⁿ where 1 ≤ a < 10 and n is an integer.
Significant figures: The digits that carry meaning in a number’s precision, counted from the first non-zero digit.

Frequently Asked Questions (Click to see answers)

How do I write a number in words and in digits?

Group by place value. For example, 304,020 is “three hundred and four thousand and twenty.” Reverse the process to turn words back into digits.

What is standard form in GCSE Maths?

Standard form (scientific notation) writes numbers as a × 10ⁿ with 1 ≤ a < 10. Example: 56,000 = 5.6 × 10⁴; 0.0073 = 7.3 × 10⁻³.

How do I compare numbers in standard form quickly?

First compare powers of 10: the larger power gives the larger number. If powers match, compare the front numbers (the a values), e.g., 6.2 > 5.9.

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You can find more about this topic by visiting BBC Bitesize - Whole numbers

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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