Reciprocals Multiplicative Inverse Practice

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$Kai and fractions illustration$

🍽️ Part 1: Kai Reciprocals - Multiple Choice

1. Easy: If you have 1/2 of a meat pie, what is the reciprocal (multiplicative inverse)?

1/2

2/1 or 2

-1/2

2. Easy: What happens when you multiply a number by its reciprocal?

You get 0

You get 1

You get the original number

You get 2

3. Medium: A recipe calls for 3/4 cup of flour. What is the reciprocal of 3/4?

3/4

4/3

7/4

-3/4

4. Medium: If 2 1/3 portions of kumara are needed, what is the reciprocal of 2 1/3?

1/3

3/7

7/3

2/3

🥘 Part 2: Kai Problems - Show Your Working

5. Difficult: A hangi feeds 5/8 of your whānau. If you want to know how many hangis you need to feed your whole whānau, you need the reciprocal. Find the reciprocal of 5/8 and verify your answer by multiplication.

6. Difficult: A batch of rewena bread uses 2 2/5 cups of flour. What is the reciprocal of 2 2/5? Show all steps including converting to an improper fraction.

7. Extension: You're making pavlova for 12 people, but your recipe serves 3 3/4 people. To scale up the recipe, you need to multiply by the reciprocal of 3/4 ÷ 3 3/4. Find this reciprocal and calculate how many times bigger your pavlova needs to be.

🍰 Part 3: Real Kai Scenarios

8. Extension: A food truck sells pies in portions. If one portion is 3/7 of a whole pie, and you want to find how many portions make a whole pie, explain why you need the reciprocal and solve the problem.

9. Creative Challenge: Create your own kai word problem involving reciprocals. Include the problem, solution, and explain why reciprocals are useful in cooking and food preparation.