New
New
Year 5

# Compare and order decimal numbers with hundredths

I can compare and order decimal numbers with hundredths.

New
New
Year 5

# Compare and order decimal numbers with hundredths

I can compare and order decimal numbers with hundredths.

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## Lesson details

### Key learning points

1. To compare two numbers, you compare digits with the same place value, starting with the largest place-value digit
2. If the whole numbers and tenths are the same, look at the value of the hundredths digit to compare and order

### Common misconception

A number with more digits after the decimal point is greater than a number with fewer digits.

Create the numbers using place value counters or base 10 blocks and re-iterate the magnitude of each digit within the number.

### Keywords

• Compare - When you compare, you look for similarities and differences in an object or value.

• Place value - The value of a digit in a number based on where it is placed.

• Order - Putting numbers or objects in position based on a set rule.

• Ascending - When items are arranged from smallest to largest.

• Descending - When items are arranged from largest to smallest.

Encourage pupils to avoid comparing number procedurally and always consider the size of each number through their reasoning. Converting the decimal digits to hundredths can also avoid procedurally comparing column after column.
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).

## Starter quiz

### 6 Questions

Q1.
Here are some wholes and tenths. What decimal number is represented by this image?
Q2.
Match the symbol to the correct description.

=

>

<

Q3.
Compare the following numbers using < > =.
<
>
Q4.
Write $$4\frac{3}{10}$$ as a decimal.
Q5.
Write $$4\frac{3}{100}$$ as a decimal.
Q6.
Tick the numbers that represent this image?
1.7
$$1\frac{7}{10}$$
Correct answer: $$1\frac{7}{100}$$
Correct answer: $$\frac{107}{100}$$

## Exit quiz

### 6 Questions

Q1.
Tick the symbol that represents less than.
>
=
Q2.
Tick the image that represents 2.41
Correct Answer: An image in a quiz
Q3.
Tick the number that is larger than 3.52
1.52
2.52
Q4.
Tick the correct explanation for the image.
2.92 is larger because it has more digits.
Correct answer: 4.3 is larger because it has 2 more ones than 2.92
4.3 is larger because it has fewer digits than 2.92
Q5.
Order the numbers in ascending order.
1 - 2.56
2 - 5.62
3 - 6.52
Q6.
Order the numbers in descending order.
1 - 17.17
2 - 7.1
3 - 7.01
4 - 1.71
5 - 1.17