New
New
Year 4

Explain how making the dividend 100 times the size affects the quotient

I can explain how making the dividend 100 times the size affects the quotient

New
New
Year 4

Explain how making the dividend 100 times the size affects the quotient

I can explain how making the dividend 100 times the size affects the quotient

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Lesson details

Key learning points

  1. If the dividend is multiplied by 100 then the quotient will be one hundred times the size.
  2. The dividend is equivalent to the product in the inverse calculation.
  3. 18 divided by 6 is equal to 3 so 1,800 divided by 6 is equal to 300 or 18 hundreds divided by 6 is equal to 3 hundreds.

Keywords

  • Dividend - The dividend is the number being divided.

  • Divisor - The divisor is the number we are dividing by.

  • Quotient - The quotient is the result after division has taken place. It is a whole number.

Common misconception

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

Smaller divisions can be used with Base 10 to model scaling to start off with. Try 2 ÷ 2 or 4 ÷ 2 scaling up to become 200 ÷ 2 or 400 ÷ 2 with Base 10 and then put this modelling side-by-side with place value counters to make the links.

Times table recall is very useful in these lessons. If some of your pupils are less confident with recall, consider scaffolding with a multiplication grid or adapting tasks to multiplication tables they are more familiar with.
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).

Lesson video

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6 Questions

Q1.
Which of the numbers in the following equation is the divisor? 18 ÷ 6 = 3
Correct Answer: 6
Q2.
Which of these is the inverse of multiplying by 7?
× 7
Correct answer: ÷ 7
+ 7
− 7
Q3.
Which of the numbers in the following equation is the quotient? 108 ÷ 12 = 9
Correct Answer: 9
Q4.
What is the missing factor in this equation? × 8 = 96
Correct Answer: 12
Q5.
Match these times tables with their related division facts.
Correct Answer:3 × 9 = 27,27 ÷ 9 = 3

27 ÷ 9 = 3

Correct Answer:2 × 11 = 22 ,22 ÷ 11 = 2

22 ÷ 11 = 2

Correct Answer:6 × 8 = 48,48 ÷ 8 = 6

48 ÷ 8 = 6

Correct Answer:6 × 7 = 42 ,42 ÷ 7 = 6

42 ÷ 7 = 6

Q6.
True or false? If the dividend is made 10 times the size, the quotient will be 10 times the size.
Correct answer: True
False

6 Questions

Q1.
True or false? If the dividend is made 100 times the size the quotient will be 100 times the size.
Correct answer: True
False
Q2.
Match the times tables to the related division facts with a dividend and quotient 100 times the size.
Correct Answer:4 × 8 = 32, 3,200 ÷ 8 = 400

3,200 ÷ 8 = 400

Correct Answer:12 × 6 = 72 ,7,200 ÷ 6 = 1,200

7,200 ÷ 6 = 1,200

Correct Answer:3 × 4 = 12,1,200 ÷ 4 = 300

1,200 ÷ 4 = 300

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

4,000 ÷ 8 = 500

Q3.
6,300 ÷ 9 =
Correct Answer: 700
Q4.
9,600 ÷ 12 =
Correct Answer: 800
Q5.
A factory makes 4,500 squash balls every hour. They are put into packs of 5 balls. How many packs are made every hour? packs
Correct Answer: 900
Q6.
The school council raises £4,800 for 6 classes to spend on their class library. If the money is shared equally between classes, how much do they each get? £
Correct Answer: 800, £800, £800.00