Checking and securing understanding of writing large numbers in standard form
I can write very large numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used.
Checking and securing understanding of writing large numbers in standard form
I can write very large numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- It is difficult to read very large numbers, due to the number of digits involved.
- It can be more efficient to write these very large numbers in standard form..
- There is a convention for standard form.
Keywords
Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer).
Associative law - The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.
Common misconception
When a number is not quite written in standard form, pupils can incorrectly convert the number.
When the A number is greater than 10, add the necessary multiplications of 10 to the index of 10. When the A number is less than 10, subtract the necessary multiplications of 10 from the index of 10.
To help you plan your year 10 maths lesson on: Checking and securing understanding of writing large numbers in standard form, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of writing large numbers in standard form, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Standard form calculations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
$$10^5$$ -
Hundred thousands
$$10^4$$ -
Ten thousands
$$10^3$$ -
Thousands
$$10^2$$ -
Hundreds
$$10^0$$ -
Ones
4 km -
4000 m
4 cm -
40 mm
4 mm -
0.4 cm
4 m -
400 cm
Exit quiz
6 Questions
340 000 -
$$3.4\times10^5$$
3400 -
$$3.4\times10^3$$
430 000 -
$$4.3\times10^5$$
4 300 000 -
$$4.3\times10^6$$
$$44\times10^5$$ -
$$4.4\times10^6$$
$$0.4\times10^5$$ -
$$4\times10^4$$
$$0.34\times10^5$$ -
$$3.4\times10^4$$
$$340\times10^5$$ -
$$3.4\times10^7$$
$$34\times10^5$$ -
$$3.4\times10^6$$