Understanding the Calculation Trick

Understanding the Calculation Trick

Assessment

Interactive Video

Mathematics

5th - 8th Grade

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial introduces a simple calculation that consistently results in the number three, regardless of the initial counting number chosen. It provides a step-by-step guide to the calculation process and explains the mathematical proof behind the consistent result. The tutorial concludes by generalizing the result to any real number, emphasizing the robustness of the calculation.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the calculation trick?

Double the number

Add six to the number

Think of a counting number from one to ten

Subtract the original number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed in the second step of the calculation?

Add six

Multiply by two

Divide by two

Subtract the original number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the explanation, what variable is used to represent the unknown number?

Y

N

Z

X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing the expression 2x + 6 by 2?

x + 6

3x + 2

2x + 3

x + 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result after subtracting the original number from x + 3?

Zero

The original number

Three

Six

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor used to simplify 2x + 6?

3

6

2

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the video suggest about the choice of the initial number?

It must be a counting number from one to ten

It can be any real number

It must be an even number

It must be a prime number

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final answer regardless of the initial number chosen?

The original number

Three

Six

Zero

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the video?

To teach multiplication

To discuss prime numbers

To explain division

To demonstrate a calculation trick