## All Tasks

#### The Chat

In the Digital Classroom, students and teachers can interact with each other via chat (speech bubble icon, see picture, left). Text and voice messages as well as pictures can be sent.
Please send us a photo of your notes on the previous task or a text or audio message!
Note: Sending messages via chat is only possible if you are working in the Digital Classroom and have an active internet connection.

# Unassigned

Learning

5

#### Example support task

A support task usually contains a simplified version of the problem presented as main task. It aims to give the student the needed guidance and advise in order to complete the related main task.
In this case, our advise is to have a look in "The Hitchhiker’s Guide to the Galaxy" of Douglas Adams. In it, the author claims that 42 is the answer to the "Ultimate Question of Life, the Universe, and Everything”. Please return to the main task, enter 42 in its answer field and proceed.
And one more important information: to the right of the task title you can find the read-aloud button. When you press it, the app reads out the task formulation. Please try it out!

# Numbers & operations

Training

7

#### Rewarding, attempts, and support tasks

For a correct answer, the user is rewarded points. More than one wrong answer reduces the initially 100 points an exercise contributes. For every exercise, the user can try four times to enter the solution.
So what is the solution here? Please try to find out. Maybe the hints will help...

# Numbers & operations

Learning

7

#### Inverse matrix

Given a matrix $A$ and its inverse matrix $B$. Choose the correct statements.
We define $I$ as the identity matrix and $A^{T}$ as the transpose of $A$. Further, $k\neq0$ is a scalar and $det(A)$ represents the determinant of A.

# Inverse

Reasoning

13

#### Simplify the power

Who has the right answer?
Exercise: Simplify the following power.
1) $ (1234)^{-1000}\\ $
Lisa: The answer is $\frac1{(1234)^{1000}}$
Ali: No the answer is 1,234.

# Powers of non-negative rational basis

Reasoning

8

#### Determination of an easy negative power

Write the exact answer to this exercise.
If you need to write the power then use this form a^b. For fractions use this form a/b.
Use this rule to get to the solution:
$ a^{-b\;}=\frac1{a^b}\\ $
1) $ 5^{-2} $
2) $ 7^{-3} $

# Powers of non-negative rational basis

Learning

8