Dividing numbers in standard form
I can appreciate the mathematical structures that underpin division of numbers represented in standard form.
Dividing numbers in standard form
I can appreciate the mathematical structures that underpin division of numbers represented in standard form.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Equivalent fractions can be used to calculate the quotient when dividing with two numbers represented in standard form.
- Using your knowledge of the index laws, you can combine powers with the same base.
- Standard form calculations can be done using a calculator.
Keywords
Standard form - Standard form is when a number is written in the form A × 10n, (where 1 ≤ A < 10 and n is an integer).
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Commutative - The commutative law states you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication.
Associative - The associative law states that it doesn't matter how you group or pair values (i.e. which we calculate first), the result is still the same. It applies for addition and multiplication.
Common misconception
When the dividing numbers written in standard form changing the multiplication symbol between the number and power of ten to a division symbol.
Encourage pupils to write any division as a fraction. This makes the maintenance of the multiplication symbol easier to see.
To help you plan your year 10 maths lesson on: Dividing 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: Dividing 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.
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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.