New
New
Year 4

Explain how making a factor 10 times the size affects the product

I can explain how making a factor 10 times the size affects the product

New
New
Year 4

Explain how making a factor 10 times the size affects the product

I can explain how making a factor 10 times the size affects the product

Lesson details

Key learning points

  1. If one factor is made ten times the size, the product will be ten times the size.
  2. One factor has been multiplied by 10 so the product is multiplied by 10
  3. When multiplying two numbers, if either factor is made 10 times the size, the product will be 10 times the size.
  4. 6 multiplied by 30 is equal to 60 multiplied by 3 or 6 tens multiplied by 3

Common misconception

Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.

Smaller multiplications can be used with Base 10 to model scaling to start off with. Try 2 × 1 or 3 × 1 scaling up to become 2 × 10 or 3 × 10 with Base 10 and then put this modelling side-by-side with place value counters to make the links.

Keywords

  • Factor - A factor is a number which exactly divides another whole number.

  • Product - A product is the result of two or more numbers multiplied together.

Times table knowledge is very useful in this lesson. If you've pupils whose times table knowledge is less secure, give them a times tables grid to use so that they can focus on the key learning in the lesson. You could also plan to use examples involving times tables with which they are familiar.
Teacher tip

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).

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6 Questions

Q1.
Which of the numbers in the following equation is the product? 3 × 6 = 18
Correct Answer: 18
Q2.
Match the times table expressions with the correct product.
Correct Answer:5 × 3 ,15

15

Correct Answer:4 × 3,12

12

Correct Answer:3 × 3,9

9

Correct Answer:2 × 3,6

6

Q3.
Which of these times table facts is being shown by the array?
An image in a quiz
5 × 5 = 25
Correct answer: 4 × 5 = 20
3 × 5 = 15
4 × 3 = 12
Q4.
Match the expressions showing commutativity.
Correct Answer:5 × 4,4 × 5

4 × 5

Correct Answer:4 × 7,7 × 4

7 × 4

Correct Answer:8 × 2,2 × 8

2 × 8

Correct Answer:7 × 3,3 × 7

3 × 7

Q5.
Tick the expressions that this array is showing.
An image in a quiz
5 × 4
3 × 5
5 x 3
Correct answer: 4 × 3
Correct answer: 3 × 4
Q6.
True or false? To multiply a whole number by 10, place a zero after the final digit of that number.
Correct answer: True
False

6 Questions

Q1.
True or false? If one factor is made 10 times the size the product will be 10 times the size.
Correct answer: True
False
Q2.
Match the equations to the related multiplications with a factor 10 times the size.
Correct Answer:5 × 9 = 45,5 × 90 = 450

5 × 90 = 450

Correct Answer:4 × 5 = 20,40 × 5 = 200

40 × 5 = 200

Correct Answer:3 × 5 = 15,3 × 50 = 150

3 × 50 = 150

Correct Answer:4 × 3 = 12,4 × 30 = 120

4 × 30 = 120

Q3.
Match the expressions with the same value.
Correct Answer:7 × 50,5 × 70

5 × 70

Correct Answer:3 × 90 ,9 × 30

9 × 30

Correct Answer:12 × 50 ,5 × 120

5 × 120

Correct Answer:70 × 3,30 × 7

30 × 7

Q4.
5 × 50 =
Correct Answer: 250
Q5.
60 × 9 =
Correct Answer: 540
Q6.
In the art cupboard, plastic pots hold 40 paintbrushes each. There are 8 pots. How many paintbrushes are there in total? paintbrushes.
Correct Answer: 320