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

Starter quiz

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

Write in the missing number from the part-part-whole model.
- '0.06 ' ✓
Tick the equations that could be written based on this part-part-whole model.
- 4.82 - 4 = 0.82 ✓
- 4 + 8 + 0.2 = 4.82
- 0.8 = 4.82 - 4.02 ✓
- 0.8 = 4 + 0.02
Match the correct expression to each sum.
- 2.1 + 1.15
  
  ⇔
  
  3.25 ✓
- 1.2 + 2.06
  
  ⇔
  
  3.26 ✓
- 3.12 + 0.23
  
  ⇔
  
  3.35 ✓
Fill in the missing number of this equation: 1 x 6 + ______ x 3 + 0.01 x 4 = 6.34
- '0.1 ' ✓
Tick the expressions that sum to 3.52
- 3 + 5 x 0.1 + 2 x 0.1
- 5 x 0.1 + 3 x 1 + 2 x 0.01 ✓
- 3 + 5 + 0.1 x 2
- 3 x 1 + 5 x 0.1 + 2 x 0.01 ✓
Tick the partitioned equation that would not sum to 7.36
- 7 + 0.3 + 0.06
- 3.3 + 4.06
- 3.35 + 4.01
- 0.02 + 7.16 ✓
- 7.0 + 0.36

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

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.

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.