Scale division facts derived from multiplication facts by 100 | Maths

Starter quiz

Which number is the dividend, divisor and quotient in the following equation? Match them. 84 ÷ 12 = 7
- 84
  
  ⇔
  
  dividend ✓
- 12
  
  ⇔
  
  divisor ✓
- 7
  
  ⇔
  
  quotient ✓
Match the times tables to the related division facts with a dividend and quotient 100 times the size.
- 3 × 7 = 21
  
  ⇔
  
  2,100 ÷ 7 = 300 ✓
- 12 × 4 = 48
  
  ⇔
  
  4,800 ÷ 4 = 1,200 ✓
- 8 × 4 = 32
  
  ⇔
  
  3,200 ÷ 4 = 800 ✓
- 5 × 9 = 45
  
  ⇔
  
  4,500 ÷ 9 = 500 ✓
What is the missing factor in this equation? ______ × 8 = 48
- '6' ✓
What is the missing factor in this equation? ______ × 8 = 88
- '11' ✓
Match these multiplication facts with their related division facts.
- 70 × 9 = 630
  
  ⇔
  
  630 ÷ 9 = 70 ✓
- 50 × 11 = 550
  
  ⇔
  
  550 ÷ 11 = 50 ✓
- 30 × 8 = 240
  
  ⇔
  
  240 ÷ 8 = 30 ✓
- 50 × 7 = 350
  
  ⇔
  
  350 ÷ 7 = 50 ✓
True or false? If the dividend is made 10 times the size the quotient will one-tenth times the size.
- True
- False ✓

Exit quiz

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
- dividend ✓
True or false? If the dividend and divisor are made 100 times the size the quotient will remain the same.
- True ✓
- False
What is the missing number in the bar model shown? Each part has an equal value.
- '1,000' ✓
What is the missing number in the bar model shown? Each part has an equal value.
- '800' ✓
What is the missing number in the multiplicative arithmagon shown?
- '200' ✓
What is the missing number in the multiplicative arithmagon shown?
- '600' ✓

Worksheet

Presentation

Video

Lesson Details

Key learning points

If the dividend is multiplied by 100 then the quotient will be one hundred times the size.
The dividend is equivalent to the product in the inverse calculation.
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.