M3.2.6 For the adult
Order of operations
What is 3 + 4 × 2?
What this chapter teaches
Calculations with several operations are worked in an agreed order: brackets, then multiplying and dividing, then adding and taking away, left to right inside a step. Brackets change the order, so they can change the answer.
Three questions to ask
There is no one right wording. Listen for the idea.
- Why is 3 + 4 × 2 equal to 11 and not 14?
- What do the brackets do in (3 + 4) × 2?
- Where would you put brackets to make 2 + 3 × 4 equal 20?
After the chapter, the learner can
- Work out 3 + 4 × 2 in the right order
- Use brackets to change the order of working
- Put in brackets to make 2 + 3 × 4 equal 20
What they copy into their notebook
Order: brackets first. Then × and ÷. Then + and −. Inside a step, work left to right. 3 + 4 × 2 = 11, but (3 + 4) × 2 = 14.