New
New
Year 4

Scale division facts derived from multiplication facts by 100

I can scale division facts derived from multiplication facts by 100

New
New
Year 4

Scale division facts derived from multiplication facts by 100

I can scale division facts derived from multiplication facts by 100

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.

Common misconception

Because multiplication is commutative and division isn't, finding related division facts can be tricky. For example, 15 ÷ 3 = 5 is related to 3 × 5 = 15 despite the factor's positions swapping.

Get children to write 2 related multiplication facts from a division fact. For example, 3 × 5 = 15 and 5 × 3 = 15 are related to 15 ÷ 3

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 the whole number part.

  • Scaling - Scaling is when a given quantity is made ___ times the size.

Times table recall is very useful in these lessons. If you've pupils whose times table recall is a challenge, give them a times tables grid to refer to so that they don't reach cognitive overload.
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 number is the dividend, divisor and quotient in the following equation? Match them. 84 ÷ 12 = 7
Correct Answer:84,dividend

dividend

Correct Answer:12,divisor

divisor

Correct Answer:7,quotient

quotient

Q2.
Match the times tables to the related division facts with a dividend and quotient 100 times the size.
Correct Answer:3 × 7 = 21,2,100 ÷ 7 = 300

2,100 ÷ 7 = 300

Correct Answer:12 × 4 = 48,4,800 ÷ 4 = 1,200

4,800 ÷ 4 = 1,200

Correct Answer:8 × 4 = 32,3,200 ÷ 4 = 800

3,200 ÷ 4 = 800

Correct Answer:5 × 9 = 45,4,500 ÷ 9 = 500

4,500 ÷ 9 = 500

Q3.
What is the missing factor in this equation? × 8 = 48
Correct Answer: 6
Q4.
What is the missing factor in this equation? × 8 = 88
Correct Answer: 11
Q5.
Match these multiplication facts with their related division facts.
Correct Answer:70 × 9 = 630 ,630 ÷ 9 = 70

630 ÷ 9 = 70

Correct Answer:50 × 11 = 550,550 ÷ 11 = 50

550 ÷ 11 = 50

Correct Answer:30 × 8 = 240 ,240 ÷ 8 = 30

240 ÷ 8 = 30

Correct Answer:50 × 7 = 350 ,350 ÷ 7 = 50

350 ÷ 7 = 50

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

6 Questions

Q1.
Complete the sentence below. If you multiply the __________ by 100 and the divisor by 100 then the quotient will remain the same.
product
inverse
quotient
Correct answer: dividend
Q2.
True or false? If the dividend and divisor are made 100 times the size the quotient will remain the same.
Correct answer: True
False
Q3.
What is the missing number in the bar model shown? Each part has an equal value.
An image in a quiz
Correct Answer: 1,000, 1000
Q4.
What is the missing number in the bar model shown? Each part has an equal value.
An image in a quiz
Correct Answer: 800
Q5.
What is the missing number in the multiplicative arithmagon shown?
An image in a quiz
Correct Answer: 200
Q6.
What is the missing number in the multiplicative arithmagon shown?
An image in a quiz
Correct Answer: 600