Understanding the Number e

Understanding the Number e

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video explores the mathematical constants Pi and E, highlighting E's significance in various contexts such as compound interest, exponential growth, and probability. It explains E's properties as an irrational and transcendental number, its historical discovery by Jacob Bernoulli, and its unexpected appearances in different mathematical scenarios. The video also touches on E's cultural impact, including its use by Google.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two famous bands are pi and e compared to in the mathematical world?

The Beatles and The Rolling Stones

The Rolling Stones and The Who

The Beatles and Pink Floyd

The Beatles and The Who

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is e considered less familiar than pi?

It is not used in basic arithmetic.

It is not used in geometry.

It is mainly encountered in advanced mathematics.

It is not a real number.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of e in mathematics?

It is only used in geometry.

It is less important than pi.

It is only used in calculus.

It is as important as pi.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of e?

1.41421

2.71828

3.14159

1.61803

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean for a number to be irrational?

It cannot be expressed as a fraction.

It can be expressed as a fraction.

It is a whole number.

It is a negative number.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean for a number to be transcendental?

It is a complex number.

It is a solution to a polynomial equation.

It is not a solution to any polynomial equation with rational coefficients.

It is a whole number.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between e and pi?

e is less than pi

e is greater than pi

e is unrelated to pi

e is equal to pi

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