New
New
Explain that decimal numbers with tenths can be composed multiplicatively
I can explain that decimal numbers with tenths can be represented as multiplication.
Lesson 2 of 5
New
New
- Year 5
Explain that decimal numbers with tenths can be composed multiplicatively
I can explain that decimal numbers with tenths can be represented as multiplication.
Lesson details
Key learning points
- A number of tenths can be represented as repeated addition and multiplication.
- Decimal numbers (tenths) greater than 1 can be represented as a multiplication equation with 0.1 as a factor.
- Decimal numbers (tenths) greater than one can be written as an improper fraction of tenths.
Keywords
Decimal number - A decimal number has a decimal point followed by digits that show the fractional part.
Equation - An equation is used to show that one number, calculation or expression is equal to another.
Factor - Factors are numbers which divide exactly into another number.
Product - The product is the result of two or more numbers multiplied together.
Common misconception
Pupils write equations involving both addition and multiplication incorrectly.
Encourage pupils to match their equation to an image provided and be clear about where the numbers in their equation come from.
Ensure pupils are confident with articulating what each number in a multiplication equation represents in the context of the representation provided. For example: in the bar model.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Using your knowledge of the commutative law, tick the alternate multiplication equation that can also represent 3 × 7 = 21
Using your knowledge of the commutative law, tick the alternate multiplication equation that can also represent 3 × 7 = 21
7 = 21 × 3
21 × 7 = 3
Q2.4 + 4 + 4 can be written as multiplication expression. Tick the expressions it could represent.
4 + 4 + 4 can be written as multiplication expression. Tick the expressions it could represent.
4 × 4 × 4
4 × 4
Q3.Look at the picture. Fill in the missing number in this equation: 3 × ___ = 15
Look at the picture. Fill in the missing number in this equation: 3 × ___ = 15
3
4
Q4.Write the following fraction as a decimal.
Write the following fraction as a decimal.
Q5.Look at the picture of eggs. It has been represented with this equation. What is the correct missing number?
Look at the picture of eggs. It has been represented with this equation. What is the correct missing number?
6
3
1
Q6.Tick the equations that best represent this picture.
Tick the equations that best represent this picture.
12 = 10 × 1 + 2 × 1
12 = 1 x 6 + 1 x 6
12 = 2 x 4 + 1 x 3
Assessment exit quiz
6 Questions
Q1.Look at the equation: 4 × 7 = 28. Which number is the product?
Look at the equation: 4 × 7 = 28. Which number is the product?
4
7
Q2.Tick the multiplication expressions that can represent: 0.1 + 0.1 + 0.1 + 0.1 + 0.1
Tick the multiplication expressions that can represent: 0.1 + 0.1 + 0.1 + 0.1 + 0.1
0.1 × 5
0.5 × 0.1
Q3.Which equation could represent the shaded parts of this bar model?
Which equation could represent the shaded parts of this bar model?
0.7 × 1 = 0.7
0.7 = 0.1 × 0.7
7 = 1 × 0.7
Q4.Fill in the missing numbers in this equation that represents this bar model. 1.6 = ___ × ___
Fill in the missing numbers in this equation that represents this bar model. 1.6 = ___ × ___
10 and 6
1 and 0.6
16 and 1
1.0 and 0.6
Q5.Which equation matches the bar model?
Which equation matches the bar model?
1.4 = 1 + 0.4
10 × 0.4 = 1.4
10 × 4 + 0.1 = 1.4
Q6.Fill in the missing number for this equation that represents this bar model.
Fill in the missing number for this equation that represents this bar model.
