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GEMDAS Order of Operations
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GEMDAS Order of Operations
Solve each challenge using GEMDAS: Grouping symbols, Exponents, Multiplication and Division from left to right, then Addition and Subtraction from left to right. Show enough working to explain your thinking. Use NZ dollars ($) where money is involved.
Plan the market
A market stall is preparing snack packs and pricing bundles. Work through the calculations in order.
1.A pack costs $4. Sione buys 3 packs and adds a $2 reusable bag. Which expression gives the total, and what is the total?
- (4 + 3) × 2 = $14
- 4 × 3 + 2 = $14
- 4 + 3 × 2 = $10
- 4 × (3 + 2) = $20
2.The stall has 5 trays with 6 muffins on each tray, then sells 8 muffins. Write and calculate an expression for how many muffins remain.
3.Calculate the total cost: 7 + 3 × 4. Show which operation you do first.
4.Each of 4 friends buys a bundle containing a $3 juice and a $2 fruit cup. Calculate the cost for all four bundles using brackets.
5.Work out 18 ÷ 3 × 2. Multiplication and division have equal priority, so calculate from left to right.
6.True or false? In 20 − 8 + 3, addition must always be done before subtraction. Correct the statement if it is false.
TrueFalse
7.A recipe uses 2⁴ pieces of dried fruit, then adds 6 more pieces. Calculate 2⁴ + 6.
8.Oliver says 24 ÷ (2 + 4) × 3 = 4/3 because he divides by 6 × 3. Find the correct answer and explain Oliver’s mistake.
9.One fruit box has 12 apples. The stall shares 3 boxes equally between 2 tables. Calculate how many apples each table gets, writing the expression with brackets.
10.Create a market-themed expression using brackets, an exponent, and at least one multiplication or division. Calculate it and show each step.
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