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Understanding Groups in Abstract Algebra

Understanding Groups in Abstract Algebra

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Nancy Jackson

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What makes groups a powerful concept in mathematics?

They are only applicable in geometry.

They are easy to visualize.

They are limited to arithmetic operations.

They generalize concepts from various mathematical fields.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In arithmetic, what is subtraction equivalent to?

Subtraction of a positive number

Division by a whole number

Addition of a negative number

Multiplication by a fraction

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the identity element for addition?

0

Any number

1

-1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property is NOT required for a set to be considered a group?

Commutativity

Associativity

Identity element

Closure

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is another name for a commutative group?

Non-abelian group

Symmetric group

Cyclic group

Abelian group

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