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.

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.

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## Slide deck

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## Lesson details

### Key learning points

1. A number of tenths can be represented as repeated addition and multiplication.
2. Decimal numbers (tenths) greater than 1 can be represented as a multiplication equation with 0.1 as a factor.
3. Decimal numbers (tenths) greater than one can be written as an improper fraction of tenths.

### 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.

### 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.

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
Using your knowledge of the commutative law, tick the alternate multiplication equation that can also represent 3 × 7 = 21.
Correct answer: 7 × 3 = 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
Correct answer: 3 × 4
Correct answer: 4 × 3
4 × 4
Q3.
Look at the picture. Fill in the missing number in this equation: 3 × ___ = 15
Correct answer: 5
3
4
Q4.
Write the following fraction as a decimal.
Correct Answer: 1.2
Q5.
Look at the picture of eggs. It has been represented with this equation. What is the correct missing number?
6
Correct answer: 2
3
1
Q6.
Tick the equations that best represent this picture.
Correct answer: 12 = 4 × 2 + 4 × 1
12 = 10 × 1 + 2 × 1
Correct answer: 12 = 1 × 4 + 2 × 4
12 = 1 x 6 + 1 x 6
12 = 2 x 4 + 1 x 3

## Exit quiz

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### 6 Questions

Q1.
Look at the equation: 4 × 7 = 28. Which number is the product?
4
7
Correct answer: 28
Q2.
Tick the multiplication expressions that can represent: 0.1 + 0.1 + 0.1 + 0.1 + 0.1
Correct answer: 0.5 × 1
0.1 × 5
Correct answer: 5 × 0.1
0.5 × 0.1
Q3.
Which equation could represent the shaded parts of this bar model?
0.7 × 1 = 0.7
Correct answer: 0.1 × 7 = 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 = ___ × ___
10 and 6
1 and 0.6
Correct answer: 16 and 0.1
16 and 1
1.0 and 0.6
Q5.
Which equation matches the bar model?
1.4 = 1 + 0.4
Correct answer: 1.4 = 10 × 0.1 + 4 × 0.1
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.
Correct Answer: 0.1, zero point one, nought point one, one tenth