Ordering positive and negative fractions and decimals | Maths

Starter quiz

True or false? An improper fraction has a numerator which is greater than its denominator.
- True ✓
- False
In which of the following would it be easier to compare the denominators?
- $\frac{4}{7}$ and $\frac{12}{39}$
- $\frac{101}{120}$ and $\frac{103}{240}$ ✓
- $\frac{15}{27}$ and $\frac{7}{9}$ ✓
- $\frac{8}{3}$ and $\frac{64}{25}$
The smaller the denominator, the ______ the parts.
- 'larger' ✓
Which statements need the symbol < inserted to make them true?
- $\frac{5}{1917}\ \square \ \frac{5}{1916}$ ✓
- $\frac{17}{6}\ \square \ \frac{17}{9}$
- $\frac{987}{988}\ \square \ \frac{987}{998}$
- $\frac{11}{22}\ \square \ \frac{11}{20}$ ✓
Write the following in order from smallest to largest.
- 1
  
  ⇔
  
  $\frac{193}{217}$
- 2
  
  ⇔
  
  $\frac{193}{216}$
- 3
  
  ⇔
  
  $\frac{193}{215}$
- 4
  
  ⇔
  
  $\frac{193}{194}$
- 5
  
  ⇔
  
  $\frac{193}{193}$
- 6
  
  ⇔
  
  $\frac{193}{192}$
Order these fractions from smallest to largest.
- 1
  
  ⇔
  
  $\frac{17}{24}$
- 2
  
  ⇔
  
  $\frac{17}{23}$
- 3
  
  ⇔
  
  $\frac{18}{23}$
- 4
  
  ⇔
  
  $\frac{23}{24}$

The ______ value of a number is its distance from zero.
- 'absolute' ✓
Order the values from smallest to largest.
- 1
  
  ⇔
  
  $(-0.682)$
- 2
  
  ⇔
  
  $(-0.68)$
- 3
  
  ⇔
  
  $(-0.628)$
- 4
  
  ⇔
  
  $(-0.62)$
- 5
  
  ⇔
  
  $(-0.068)$
Order the values from smallest to largest.
- 1
  
  ⇔
  
  $(-4.731)$
- 2
  
  ⇔
  
  $(-4.371)$
- 3
  
  ⇔
  
  $(-4.137)$
- 4
  
  ⇔
  
  $4.137$
- 5
  
  ⇔
  
  $4.371$
- 6
  
  ⇔
  
  $4.731$
Order these fractions from smallest to largest.
- 1
  
  ⇔
  
  $\left(-2\frac{1}{4}\right)$
- 2
  
  ⇔
  
  $\left(-1\frac{3}{4}\right)$
- 3
  
  ⇔
  
  $\left(-1\frac{1}{2}\right)$
- 4
  
  ⇔
  
  $1\frac{1}{5}$
- 5
  
  ⇔
  
  $1\frac{1}{4}$
- 6
  
  ⇔
  
  $2\frac{1}{2}$
Order these fractions from smallest to largest.
- 1
  
  ⇔
  
  $\left(-\frac{12}{15}\right)$
- 2
  
  ⇔
  
  $\left(-\frac{7}{10}\right)$
- 3
  
  ⇔
  
  $\left(-\frac{3}{5}\right)$
- 4
  
  ⇔
  
  $\left(-\frac{16}{30}\right)$
Order these values from smallest to largest.
- 1
  
  ⇔
  
  $(-0.33)$
- 2
  
  ⇔
  
  $\left(-\frac{8}{25}\right)$
- 3
  
  ⇔
  
  $\left(-\frac{3}{10}\right)$
- 4
  
  ⇔
  
  $\left(-\frac{15}{100}\right)$
- 5
  
  ⇔
  
  $0.26$
- 6
  
  ⇔
  
  $\frac{28}{100}$
- 7
  
  ⇔
  
  $\frac{7}{20}$

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There are multiple methods to order a list of positive and negative decimals.
There are multiple methods to order a list of positive and negative fractions.
There are multiple ways to order a list that contains positive and negative decimals and fractions.
Some methods are more time consuming than others.
Identifying the most efficient method to compare and order fractions and decimals can save time.

Changing all fractions and decimals to a common format without considering obvious comparisons.

This could be an opportunity to talk about familiar conversions including halves, quarters and fifths.