Ordering numbers in standard form
I can compare and order numbers written in a mixture of standard, non-standard and not quite standard form.
Ordering numbers in standard form
I can compare and order numbers written in a mixture of standard, non-standard and not quite standard form.
Lesson details
Key learning points
- It can be easier to compare numbers if they are all in standard form.
- If all numbers are in standard form, you can compare the powers of 10
- When powers of 10 are the same, you can compare the digits of what remains.
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
$$0.0033$$ -
$${3.3}\times10^{-3}$$
$$30 300$$ -
$${3.03}\times10^{4}$$
$$0.00303$$ -
$${3.03}\times10^{-3}$$
$$33 000$$ -
$${3.3}\times10^{4}$$
$$0.0303$$ -
$${3.03}\times10^{-2}$$
$$330 000$$ -
$${3.3}\times10^{5}$$