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Year 5

Explain that decimal numbers with hundredths can be partitioned in different ways

I can explain that decimal numbers with hundredths can be partitioned in different ways.

New
New
Year 5

Explain that decimal numbers with hundredths can be partitioned in different ways

I can explain that decimal numbers with hundredths can be partitioned in different ways.

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Lesson details

Key learning points

  1. Place value resources can help you to partition decimal numbers with hundredths in different ways.
  2. Decimal numbers with hundredths can be partitioned into a whole number, a number of tenths and a number of hundredths.
  3. Part-part-whole models can be used to partition decimal numbers with hundredths into two parts in different ways.
  4. Decimal numbers with hundredths can be written as multiplication equations with a factor of 0.01

Common misconception

Pupils write subtraction equations incorrectly for example: 7.42 = 7 − 0.4 − 0.02

Create the number using place value counters and subtract parts whilst drawing a part-whole model and writing the equation alongside.

Keywords

  • Partitioning - The act of splitting an object or value down into smaller parts.

  • Decimal numbers - A number with a decimal point followed by digits that show the fractional part.

Encourage pupils to be as flexible as they can with their partitioning. Also ensure pupils are regularly reasoning about where the numbers in their equations represent each time - particularly when combining both addition and multiplication.
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).

Video

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6 Questions

Q1.
Breaking an object of value down into smaller parts is known as:
Correct answer: partitioning
adding
combining
Q2.
Tick the correct number for the missing part.
An image in a quiz
Correct answer: 30
3
37
Q3.
Write in the missing number for this part-part-whole model.
An image in a quiz
Correct Answer: 0.4
Q4.
Tick the expression that would represent this image.
An image in a quiz
30 + 5 + 2
30 + 0.5 + 2
3 + 5 + 2
30 + 0.5 + 0.02
Correct answer: 30 + 5 + 0.2
Q5.
Tick the decimal number that has been partitioned.
An image in a quiz
Correct answer: 5.74
4.75
7.54
5.47
Q6.
6.42 has been partitioned into three parts. Tick the options that the two remaining parts could be.
An image in a quiz
6 and 0.2
Correct answer: 6 and 0.02
Correct answer: 3.01 + 3.01
4.2 + 2.01
0.6 + 0.02

6 Questions

Q1.
Write in the missing number from the part-part-whole model.
An image in a quiz
Correct Answer: 0.06
Q2.
Tick the equations that could written based on this part-part-whole model.
An image in a quiz
Correct answer: 4.82 - 4 = 0.82
4 + 8 + 0.2 = 4.82
Correct answer: 0.8 = 4.82 - 4.02
0.8 = 4 + 0.02
Q3.
Match the correct expression to each sum.
Correct Answer:2.1 + 1.15 ,3.25

3.25

Correct Answer:1.2 + 2.06,3.26

3.26

Correct Answer:3.12 + 0.23,3.35

3.35

Q4.
Fill in the missing number of this equation: 1 x 6 + x 3 + 0.01 x 4 = 6.34
Correct Answer: 0.1
Q5.
Tick the expressions that sum to 3.52
3 + 5 x 0.1 + 2 x 0.1
Correct answer: 5 x 0.1 + 3 x 1 + 2 x 0.01
3 + 5 + 0.1 x 2
Correct answer: 3 x 1 + 5 x 0.1 + 2 x 0.01
Q6.
Tick the partitioned equation that would not sum to 7.36
7 + 0.3 + 0.06
3.3 + 4.06
3.35 + 4.01
Correct answer: 0.02 + 7.16
7.0 + 0.36