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Making Sense of Sensible (?!?) Rounding. Jojo Uichanco / Lukas van Veen. “How much?”. “HOW MUCH?” involves a form of measurement : no sensible rounding necessary. How much did he spend? How much sleep did you get?. “ How many ?”. Answer “HOW MANY?”
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Making Sense of Sensible (?!?) Rounding Jojo Uichanco / Lukas van Veen
“How much?” • “HOW MUCH?” involves a form of measurement : no sensible rounding necessary. • How much did he spend? • How much sleep did you get?
“How many?” Answer “HOW MANY?” with a WHOLE number by rounding sensibly. • How many students does it take to change a light bulb?
The framework • Sensible rounding always asks: “How many?” • Need in the problem Round down • Need in the question Round up
Example 1. • A taxi can carry up to four passengers.How many taxis do we need to carry 13?13 ÷ 4 = 3.25 • Round down or up?
3 x 4 = 12 students Need is in the question: round up 4taxis can carry 13 students
Example 2.Let’s make (or bake) a cake • Hessa needs four eggs to make a cake.How many cakes can she make with 11 eggs?11 ÷ 4 = 2.75
2.75Can Hessa make three cakes?3 cakes x 4 eggs 12 eggsNeed is in the problem: round downWith 11 eggs Hessa makes 2 cakes
Example 3. • I need five meters to make a dishdasha.How many dishdashas can I make with 14 meters?14 ÷ 5 = 2.8Two or three?
Need is in the problem: round down • I can make 2 dishdashas
Watch out!!! • A pizza is cut into six slices.Khalid has 20 slices.How many pizzas does Khalid have? • 3 1/3 • A pizza is cut into six slices.Khalid has 20 slices.How many whole pizzas does Khalid have? • 3
Watch out!!! • A box holds twelve eggs. How many boxes are needed for 25 eggs?Round up:3 • A box holds twelve eggs. How many full boxes can be made with 25 eggs? Round down: 2