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Year 4

Explain how making a factor 100 times the size affects the product

I can explain how making a factor 100 times the size affects the product.

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Share activities with pupils
New
New
Year 4

Explain how making a factor 100 times the size affects the product

I can explain how making a factor 100 times the size affects the product.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. If one factor is made one hundred times the size, the product will be one hundred times the size.
  2. One factor has been multiplied by 100 so the product is multiplied by 100
  3. When multiplying two numbers, if either factor is made 100 times the size, the product will be 100 times the size.
  4. 6 multiplied by 300 is equal to 600 multiplied by 3 or 6 hundreds 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 × 100 or 3 × 100 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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Starter quiz

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6 Questions

Q1.
Which of the numbers in the following equation are factors? 4 × 12 = 48
Correct answer: 4
Correct answer: 12
18
Q2.
Match the times table expressions with the correct product.
Correct Answer:5 × 7 ,35

35

Correct Answer:9 × 3,27

27

Correct Answer:8 × 3,24

24

Correct Answer:2 × 6,12

12

Q3.
Which of these times table facts is being shown by the array?
An image in a quiz
4 × 4 = 16
Correct answer: 7 × 4 = 28
3 × 7 = 21
4 × 3 = 12
Q4.
Match the expressions showing commutativity.
Correct Answer:6 × 4,4 × 6

4 × 6

Correct Answer:9 × 7 ,7 × 9

7 × 9

Correct Answer:8 × 6 ,6 × 8

6 × 8

Correct Answer:2 × 3,3 × 2

3 × 2

Q5.
Tick the expressions that this array is showing.
An image in a quiz
5 × 6
Correct answer: 3 × 8
2 × 5
7 × 3
Correct answer: 8 × 3
Q6.
True or false? To multiply a whole number by 100, place two zeros after the final digit of that number.
Correct answer: True
False

Exit quiz

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6 Questions

Q1.
True or false? If one factor is made 100 times the size the product will be 100 times the size.
Correct answer: True
False
Q2.
Match the equations to the related multiplications with a factor 100 times the size.
Correct Answer:6 × 9 = 54,6 × 900 = 5,400

6 × 900 = 5,400

Correct Answer:4 × 7 = 28,400 × 7 = 2,800

400 × 7 = 2,800

Correct Answer:8 × 5 = 40 ,8 × 500 = 4,000

8 × 500 = 4,000

Correct Answer:7 × 3 = 21 ,7 × 300 = 2,100

7 × 300 = 2,100

Q3.
Match the expressions with the same value.
Correct Answer:9 × 300,900 × 3

900 × 3

Correct Answer:4 × 600,400 × 6

400 × 6

Correct Answer:12 × 700,7 × 1,200

7 × 1,200

Correct Answer:800 × 4,400 × 8

400 × 8

Q4.
5 × 600 =
Correct Answer: 3,000, 3000
Q5.
800 × 7 =
Correct Answer: 5,600, 5600
Q6.
4 classes each raise £700 for charity. How much have they raised altogether? £
Correct Answer: 2,800, 2800.00, 2800