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Year 4

Explain how making the dividend 10 times the size affects the quotient

I can explain how making the dividend 10 times the size affects the quotient

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New
New
Year 4

Explain how making the dividend 10 times the size affects the quotient

I can explain how making the dividend 10 times the size affects the quotient

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. If the dividend is multiplied by 10 then the quotient will be ten 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 180 divided by 6 is equal to 30 or 18 tens divided by 6 is equal to 3 tens.

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 divisions can be used with Base 10 to model scaling to start off with. Try 2 ÷ 2 or 4 ÷ 2 scaling up to become 20 ÷ 2 or 40 ÷ 2 with Base 10 and then put this modelling side-by-side with place value counters to make the links.

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.

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 is the dividend? 18 ÷ 6 = 3
Correct Answer: 18
Q2.
Which of these is the inverse of multiplying by five?
× 5
Correct answer: ÷ 5
+ 5
− 5
Q3.
Which of the numbers in the following equation is the quotient? 18 ÷ 6 = 3
Correct Answer: 3
Q4.
What is the missing factor in this equation? × 7 = 21
Correct Answer: 3
Q5.
Match these times table with their related division facts.
Correct Answer:7 × 5 = 35,35 ÷ 5 = 7

35 ÷ 5 = 7

Correct Answer:2 × 12 = 24,24 ÷ 12 = 2

24 ÷ 12 = 2

Correct Answer:3 × 5 = 15,15 ÷ 5 = 3

15 ÷ 5 = 3

Correct Answer:8 × 3 = 24 ,24 ÷ 3 = 8

24 ÷ 3 = 8

Q6.
True or false? To multiply a whole number by 10 you place a zero after the final digit of that number.
Correct answer: True
False

Exit quiz

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6 Questions

Q1.
True or false? If the dividend is made 10 times the size the quotient will be 10 times the size.
Correct answer: True
False
Q2.
Match the times tables facts to the related division facts with a dividend and quotient 10 times the size.
Correct Answer:5 × 9 = 45,450 ÷ 9 = 50

450 ÷ 9 = 50

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

200 ÷ 5 = 40

Correct Answer:3 × 5 = 15 ,150 ÷ 5 = 30

150 ÷ 5 = 30

Correct Answer:4 × 3 = 12,120 ÷ 3 = 40

120 ÷ 3 = 40

Q3.
840 ÷ 12 =
Correct Answer: 70
Q4.
240 ÷ 4 =
Correct Answer: 60
Q5.
A tennis club needs to buy 480 tennis balls. Tennis balls come in packs of 6 How many packs should they buy? packs
Correct Answer: 80
Q6.
The school council raises £540 for 9 classes to spend on their class library. If the money is shared equally between classes, how much do they each get? £
Correct Answer: 60, 60.00