Priority of operations with positive and negative integers, decimals and fractions | Maths

Starter quiz

Using the priority of operations, which operations come before multiplication and division?
- Brackets ✓
- Roots ✓
- Exponents ✓
- Addition
- Subtraction or the addition of the additive inverse
Match the calculations on the left with the correct answer on the right.
- $3 + 4\times5$
  
  ⇔
  
  23 ✓
- $4 + 3\times5$
  
  ⇔
  
  19 ✓
- $3 + 6\div 2$
  
  ⇔
  
  6 ✓
- $2 + 4\times5 + 5\times 1$
  
  ⇔
  
  27 ✓
The priority of operations applies to:
- positive and negative integers only
- positive and negative integers, fractions and decimals ✓
- positive numbers only
Look at the calculation using the priority of operations. Write what number is represented by the star.
- '24' ✓
Using your knowledge on the addition of fractions, work out the answer to $\frac{11}{12}+ \left(-\frac{1}{3}\right)+ \frac{1}{4}$ .
- $\frac{13}{13}$
- $\frac{5}{6}$ ✓
- 1
- $\frac{6}{5}$
Using your knowledge on the addition of fractions and additive inverses, work out the answer to $\frac{9}{10}+ \left(-\frac{1}{5}\right)+ \frac{7}{20}+ \left(-\frac{3}{10}\right)$ .
- $\frac{4}{5}$
- $\frac{3}{4}$ ✓
- $\frac{12}{15}$
- $\frac{11}{12}$