Checking and further securing understanding of the commutative law
I can state the commutative law and use it to calculate efficiently.
Checking and further securing understanding of the commutative law
I can state the commutative law and use it to calculate efficiently.
Lesson details
Key learning points
- A number can be expressed as the product of prime factors.
- By using the commutative law, you can chose which factors to multiply together first.
- Using the commutative law can make calculations easier.
Common misconception
Use of addition instead of multiplication when finding factors.
Reiterate that the product of prime factors is unique.
Keywords
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Commutative - An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
Prime number - A prime number is an integer greater than one with exactly 2 factors. All integers greater than 1 are either composite or prime.
Prime factor - Prime factors are the factors of a number that are, themselves, prime.
Prime factorisation - Prime factorisation is a method to find the prime factors of a given 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
2 × 4 = 0.2 × 40 = 0.4 × 20 -
8
6 × 2 = 0.6 × 20 = 0.2 × 60 -
12
0.7 × 30 = 0.3 × 70 = 7 × 3 -
21
0.3 × 30 = 3 × 3 = 0.003 × 3000 -
9