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Inglés – Octavo Básico | Student’s Book MINEDUC – Descargar PDF · 2024
Libro de Inglés 8

MINEDUC

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Elephants in Denmark: a mental prediction math trick

📄 ejercicios ingles 🎓 otro · 8° BASICA Chile 🇨🇱 CL 🗣 Español
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Respuesta rápida

The trick always ends in D → Denmark → Elephant. Any number 2–9 times 9 gives digits that add to 9; 9 − 5 = 4 → D.

📚 exercise ingles ⭐⭐ Dificultad 2/5 ⏱ 6 min lectura

Solución — Página 58

Inglés – Octavo Básico | Student’s Book MINEDUC – Descargar PDF · 2024

1
Ejercicio 1

Read the 12 steps of the trick and explain why the prediction "You will say Elephants in Denmark" always comes true.

  1. Let n be the chosen number, with 2 \le n \le 9.
  2. Multiply by nine: 9n.
  3. Since n \in \{2,3,4,5,6,7,8,9\}, the product 9n is always a two-digit number whose digits add up to 9 (multiples of 9 between 18 and 81).
  4. Add the two digits: 9.
  5. Subtract five: 9 - 5 = 4.
  6. Match with the alphabet: A=1, B=2, C=3, D=4. The letter is always D.
  7. Think of a country starting with D. In English, the most common answer is Denmark.
  8. Second letter of "Denmark" is e. Think of an animal starting with E: the most common answer is Elephant.
  9. The folded prediction says "You will say Elephants in Denmark", so it always matches.
Respuesta

The trick works because any number from 2 to 9 multiplied by 9 gives a multiple of 9 whose digits add to 9; subtracting 5 always gives 4, which corresponds to the letter D, leading most people to Denmark and then to Elephant.

2
Ejercicio 2

Say the prediction out loud and check it with a classmate.

  1. Write the prediction on a piece of paper and fold it.
  2. Follow steps 2 to 10 with a partner.
  3. Ask your partner to say the sentence in step 11.
  4. Show the folded paper.

Respuesta orientativa: The prediction is always correct because the mathematical steps force the letter D, and D is most commonly associated with Denmark and then Elephant in English.

3
Ejercicio 3

Answer: Do you now have a country and an animal?

  1. Yes, after step 8 the student has a country (Denmark) and an animal (Elephant).
  2. The trick is designed so that the most frequent answers are Denmark and Elephant.
Respuesta

Yes, the country is Denmark and the animal is Elephant.

Contenido de la página

Elephants in Denmark

You already learned that you can make predictions through math tricks. Now, it's time to learn another one! But this time we are going to add animals. Are you ready? Will you be able to predict the following math trick? Let's go!

Text adapted from www.thesprucecrafts.com/mental-prediction-magic-trick-2266955

  1. Write "You will say Elephants in Denmark" on a piece of paper. Fold this up and keep it with you.
  2. Pick a number between two and nine. It can be two or it can be nine, or any number in between.
  3. Take the number that you've chosen and multiply it by nine.
  4. This should give you a two digit number. Take the two digits of the number and add them together. For example, if your number is 16, take the one and six and add them to make seven.
  5. Take the resulting number and subtract five from it.
  6. Take that number and match it with a corresponding letter of the alphabet. A=1, B=2, C=3, etc.
  7. Take your letter, and think of a country that begins with that letter. For example, "B" might make you think of Brazil, "D" could be Denmark or "F" could be France.
  8. Take the second letter in the name of that country and think of an animal. For example, "P" may make you think of a Penguin and "Z" may make you think of Zebra.
  9. Do you now have a country and animal?
  10. Hold that thought in your mind while I concentrate. Pause here for a moment.
  11. Say, "I didn't know that there were elephants in Denmark. Was my prediction right?"
  12. Bring out your folded prediction and show that you were right.

Cross-Curricular — UNIT 4 — Lesson 7: Teens and Technology — 57

Ejemplos resueltos

Choose the number 6 and follow the trick.

  1. 6 \times 9 = 54.
  2. 5 + 4 = 9.
  3. 9 - 5 = 4.
  4. 4 \rightarrow D.
  5. Country: Denmark.
  6. Second letter: e → Elephant.

Respuesta: Elephants in Denmark.

Choose the number 2 and follow the trick.

  1. 2 \times 9 = 18.
  2. 1 + 8 = 9.
  3. 9 - 5 = 4.
  4. 4 \rightarrow D.
  5. Country: Denmark.
  6. Second letter: e → Elephant.

Respuesta: Elephants in Denmark.

Tabla

Number × 9 Sum of digits − 5 Letter
2 18 9 4 D
3 27 9 4 D
4 36 9 4 D
5 45 9 4 D
6 54 9 4 D
7 63 9 4 D
8 72 9 4 D
9 81 9 4 D

Diagrama

flowchart TD
  A[Pick a number 2-9] --> B[Multiply by 9]
  B --> C[Add the two digits]
  C --> D[Subtract 5]
  D --> E[Match with a letter]
  E --> F[Think of a country]
  F --> G[Think of an animal]
  G --> H[Say: Elephants in Denmark]

Fórmulas y ecuaciones

9n \rightarrow \text{digits sum } 9 \rightarrow 9-5=4 \rightarrow D

9n

9 - 5 = 4

A=1, B=2, C=3, D=4

Glosario (10)

prediction
predicción, algo que se anuncia antes de que ocurra
math trick
truco matemático
fold
doblar (un papel)
digit
dígito, cifra
subtract
restar
alphabet
alfabeto
country
país
animal
animal
concentrate
concentrarse
right
correcto, acertado

Preguntas para practicar

Why do you think most people choose Denmark and Elephant?

Because in English, D is a common initial for Denmark and E is a common initial for Elephant. These are the first words that come to mind for most speakers, so the trick works statistically.

Can you invent a similar trick using another letter?

Yes. For example, force the letter B and ask for a country and an animal; most people will say Brazil and Bear. The mathematical part must always lead to the same letter.

Temas y conceptos clave

Truco matemático de predicción mentalNúmeros y letras del alfabetoPaíses y animales en inglésPredicciónMúltiplos de 9Correspondencia número-letraPaís con DAnimal con E

Fuentes y referencias

  • www.thesprucecrafts.com/mental-prediction-magic-trick-2266955
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Preguntas que la gente también hace

¿Por qué el truco de los elefantes en Dinamarca siempre funciona?
Consulta la solución completa arriba o explora el libro entero para temas relacionados.
¿Qué relación tiene el número 9 con el truco de predicción mental?
Consulta la solución completa arriba o explora el libro entero para temas relacionados.
¿Cómo se dice 'Elephants in Denmark' en español?
Consulta la solución completa arriba o explora el libro entero para temas relacionados.
📌 Antes de leer esto
  • • Multiplicar números de una cifra
  • • Sumar dígitos
  • • Conocer el alfabeto en inglés
  • • Vocabulario básico de países y animales en inglés
Siguiente tema sugerido
Lesson 8: Giving opinions about technology
📝 Transcripción de la página (texto seleccionable) 1615 caracteres

Elephants in Denmark

You already learned that you can make predictions through math tricks. Now, it's time to learn another one! But this time we are going to add animals. Are you ready? Will you be able to predict the following math trick? Let's go!

Text adapted from www.thesprucecrafts.com/mental-prediction-magic-trick-2266955

Write "You will say Elephants in Denmark" on a piece of paper. Fold this up and keep it with you.

Pick a number between two and nine.It can be two or it can be nine, or any number in between.

Take the number that you've chosen and multiply it by nine.

This should give you a two digit number. Take the two digits of the number and add them together. For example, if your number is 16, take the one and six and add them to make seven.

Take the resulting number and subtract five from it.

Take that number and match it witha corresponding letter of the alphabet.A=1 /B=2 (c C=3, etc.

Take your letter, and think of a country that begins with that letter.For example, "B"might make you think of Brazil,"D"could be Denmark or"F"could be France.

Take the second letter in the name of that country and think of an animal.For example,"p"may make you think of a Penguin and "Z" may make you think of Zebra.

Do you now have a country and animal?

Hold that thought in your mind while I concentrate. Pause here for a moment.

Say, "I didn't know that there were elephants in Denmark. Was my prediction right?"

Bring out your folded prediction and show that you were right.

Cross-Curricular

UNIT

一

![](page=0,bbox=[541, 227, 1100, 706])

Lesson 7.Teens and Technology

57

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