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Understanding the Flawed Proof

Understanding the Flawed Proof

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.REI.A.1, HSA-REI.B.4B, HSA.APR.C.4

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.1
,
CCSS.HSA-REI.B.4B
,
CCSS.HSA.APR.C.4
The video presents a flawed mathematical proof that claims one equals two. It begins by setting A and B as equal real numbers, then multiplies both sides, simplifies, subtracts, and factors the equation. The proof concludes by dividing both sides, leading to the erroneous conclusion that two equals one, highlighting a logical fallacy.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial assumption made in the proof that one equals two?

A is greater than B.

A is less than B.

A and B are two equal real numbers.

A and B are two different real numbers.

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after multiplying both sides by A?

Adding B squared to both sides.

Subtracting B squared from both sides.

Multiplying both sides by B.

Dividing both sides by B.

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring the left side of the equation?

A squared minus B squared.

A plus B times A minus B.

A times B.

B squared.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What substitution is made to simplify the equation further?

Substitute A for B.

Substitute A for zero.

Substitute B for zero.

Substitute B for A.

Tags

CCSS.HSA.REI.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final conclusion of the proof?

One equals two.

B is greater than A.

A equals B.

A is greater than B.

Tags

CCSS.HSA.REI.A.1

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