The absolute value of a number is its distance from zero.

Ordering positive and negative fractions and decimals

Maths

In this unit, pupils have explored the structure of fractions and their relationship with decimals and integers. This is built on in the future unit where pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

In this unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required. Fluency in working with decimals and integers is an important skill which is developed in the prior unit.

This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.

Comparing and ordering fractions and decimals (positive and negative)

The {{ }} value of a number is its distance from zero.

Order the values from smallest to largest.

Order these fractions from smallest to largest.

Order these values from smallest to largest.

True or false? An improper fraction has a numerator which is greater than its denominator.

$$\frac{101}{120}$$ and $$\frac{103}{240}$$

In which of the following would it be easier to compare the denominators?

The smaller the denominator, the {{ }} the parts.

$$\frac{5}{1917}\ \square \ \frac{5}{1916} $$

$$\frac{17}{6}\ \square \ \frac{17}{9} $$

$$\frac{987}{988}\ \square \ \frac{987}{998} $$

$$\frac{11}{22}\ \square \ \frac{11}{20} $$

Which statements need the symbol < inserted to make them true?

Write the following in order from smallest to largest.

This lesson will be removed by end of Summer Term 2025.

Ordering positive and negative fractions and decimals

Lesson outcome

This lesson will be removed by end of Summer Term 2025.