Checking and securing understanding of multiples of 10
I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
Checking and securing understanding of multiples of 10
I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
Lesson details
Key learning points
- Factorising multiples of 10 can scale the calculation to easier values.
- It is important to consider place value so answers are scaled back correctly when multiplying.
- Equivalent fractions can be used to simplify division.
Common misconception
There are many ways to multiply decimals or large numbers. With decimals, some pupils choose to multiply decimals using the column method and incorrectly use a decimal point when calculating answers.
When multiplying decimals, converting the calculation using integers and powers of 10 makes the calculation easier to work with.
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.
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
$$7$$ -
$$8\times8\times8\times8\times8\times8\times8 = 8^\square$$
$$8$$ -
$$4\times4\times4\times4\times4\times4\times4\times4= 4^\square$$
$$5$$ -
$$5\times5\times5\times5\times5= 5^\square$$
$$2$$ -
$$100 = 10^\square$$
$$4$$ -
$$10000 = 10^\square$$
$$1$$ -
$$10 = 10^\square$$
$$10^4$$ -
$$10 000$$
$$10^2$$ -
$$100$$
$${1} \over {10^2}$$ -
$$0.01$$
$$10^0$$ -
$$1$$
$$10^6$$ -
$$1 000 000$$
$${1} \over {10^3}$$ -
$$0.001$$
Exit quiz
6 Questions
2 × 3 = 0.2 × 30 = 0.3 × 20 -
6
4 × 2 = 0.4 × 20 = 0.2 × 40 -
8
0.7 × 20 = 0.2 × 70 = 7 × 2 -
14
0.3 × 30 = 3 × 3 = 0.03 × 300 -
9