Writing large numbers in standard form
I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used.
Writing large numbers in standard form
I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used.
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.
Common misconception
Pupils can incorrectly write a number in standard form or use a number in incorrect standard form whereby the number A does not satisfy 1 ≤ A < 10 or pupils use division of positive powers of 10.
Standard form represents a multiplicative relationship, so there should always be a multiplication. Embedding the understanding that negative exponents refer to 1/10^n is important. Using the place value chart with fractional and exponent form helps.
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).
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$10^4$$ -
$$10 000$$
$$10^5$$ -
$$100 000$$
$${1} \over {10^2}$$ -
$$0.01$$
$$10^0$$ -
$$1$$
$$10^1$$ -
$$10$$
$${1} \over {10^4}$$ -
$$0.0001$$
Exit quiz
6 Questions
$$303 000$$ -
$${3.03}\times10^{5}$$
$$33 000$$ -
$${3.3}\times10^{4}$$
$$30 300$$ -
$${3.03}\times10^{4}$$
$$303 $$ -
$${3.03}\times10^{2}$$
$$3 300 000$$ -
$${3.3}\times10^{6}$$
$$3300$$ -
$${3.3}\times10^{3}$$
