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Year 2 Calculation - Multiplication in any Order
6 x 4 = 24 and 4 x 6 = 24 as well!

Year 2 Calculation - Multiplication in any Order

Discover that 2 × 5 equals 5 × 2. Use arrays and equal groups to see why order doesn’t matter and solve multiplication quickly.

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(quiz starts below)

Fascinating Fact:

Bead string groups either way: 2 groups of 5 is 10. 5 groups of 2 is also 10. Slide, slide, smile.

In KS1 Maths, Year 2 pupils learn that multiplication is commutative. Swapping the factors does not change the product, and arrays or bead strings make this clear to see.

  • Factor: A number being multiplied, such as 2 and 5 in 2 × 5.
  • Product: The result of multiplication, for example 10 in 2 × 5 = 10.
  • Commutative: The order can change: a × b = b × a.

Warm up your skills first: try the Multiplication Game before starting the quiz.

What does “in any order” mean in multiplication?

It means you can swap the factors and get the same product, for example 2 × 5 = 5 × 2 = 10.

How do arrays prove 3 × 4 equals 4 × 3?

An array of 3 rows of 4 shows 12. Rotate it to see 4 rows of 3. The order changes, but the total stays 12.

Is subtraction or division also “in any order”?

No. Subtraction and division are not commutative. Swapping numbers changes the result.

Question 1
Which of the following pairs give an answer of 60?
60 x 2 and 2 x 60
30 x 2 and 2 x 30
15 x 3 and 3 x 15
40 x 4 and 4 x 40
2 x 30 gives an answer of 60, as does 30 x 2
Question 2
I don't know my 7 times table yet. How could I work out 5 x 7?
By quickly learning the 7 times table
By doing 7 x 5 instead
By guessing the answer
By adding 7 and 5 together
5 x 7 = 35 and 7 x 5 is 35 too
Question 3
Which number is missing?
? x 8 = 16
4
24
12
2
If you know that 8 x 2 = 16, then 2 x 8 = 16 also
Question 4
What is 50 x 2?
52
100
25
70
2 x 50 is much easier to work out!
Question 5
When you multiply two numbers...
you can multiply them in any order
you should add them first
you will get an answer of more than 50
you will also find the difference
When multiplying two numbers, it doesn't matter which way round they go, you will still get the same answer
Question 6
Which of the following pairs give an answer of 20?
20 x 2 and 2 x 20
4 x 5 and 5 x 4
10 x 4 and 4 x 10
10 x 20 and 20 x 10
4 x 5 = 20, as does 5 x 4
Question 7
Which number is missing?
20 x ? = 80
60
40
24
4
4 x 20 = 80 and 20 x 4 = 80 too
Question 8
What is 100 x 4?
410
40
104
400
Changing the order of the numbers makes this 4 x 100, which is easier to work out
Question 9
5 x 6 gives the same answer as...
40 x 5
4 x 50
5 + 4
6 x 5
They both give an answer of 30
Question 10
What could make this calculation easier to work out?
5 x 12
Quickly learning the 12 times table
Adding the two numbers together
Changing the numbers around to 12 x 5
Finding the difference between the two numbers
5 x 12 = 60 and 12 x 5 also gives the same answer
You can find more about this topic by visiting BBC Bitesize - Multiplying and dividing

Author:  Angela Smith (Primary School Teacher & KS1 Quiz Writer)

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