The Mad Dr. Frankenstein Has Gathered Enough Bits And Pieces (so To Speak) For $2^{-1} + 2^{-2}$ Of His Creature-to-be. Write A Fraction That Represents The Amount Of His Creature That Must Still Be Obtained.Select The Correct Choices That

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Introduction

In the classic tale of Dr. Frankenstein, the mad scientist is known for his creation of a monster from various body parts. However, in this mathematical puzzle, we are tasked with finding the fraction that represents the amount of the creature that still needs to be obtained. To do this, we need to understand the concept of fractions and how to add them together.

Understanding the Problem

The problem states that Dr. Frankenstein has gathered enough bits and pieces for $2^{-1} + 2^{-2}$ of his creature-to-be. This means that he has already obtained a portion of the creature, but he still needs to find the remaining pieces. To find the fraction that represents the amount of the creature that must still be obtained, we need to subtract the portion that Dr. Frankenstein has already gathered from the whole.

The Whole

The whole in this case is the entire creature, which can be represented as 1. This is because the creature is considered to be a single unit, and we are trying to find the fraction of it that is still missing.

The Portion Already Gathered

The portion that Dr. Frankenstein has already gathered is represented by the expression $2^{-1} + 2^{-2}$. To evaluate this expression, we need to find the decimal equivalents of the fractions.

2−1=12=0.52^{-1} = \frac{1}{2} = 0.5

2−2=122=14=0.252^{-2} = \frac{1}{2^2} = \frac{1}{4} = 0.25

Now, we can add these two fractions together to find the total portion that Dr. Frankenstein has already gathered.

0.5+0.25=0.750.5 + 0.25 = 0.75

Finding the Missing Portion

Now that we know the portion that Dr. Frankenstein has already gathered, we can find the missing portion by subtracting it from the whole.

1−0.75=0.251 - 0.75 = 0.25

This means that Dr. Frankenstein still needs to obtain 0.25 of his creature.

Conclusion

In this mathematical puzzle, we were tasked with finding the fraction that represents the amount of the creature that must still be obtained. To do this, we needed to understand the concept of fractions and how to add them together. We found that Dr. Frankenstein has already gathered 0.75 of his creature, and he still needs to obtain 0.25 of it.

The Final Answer

The fraction that represents the amount of the creature that must still be obtained is:

0.25\boxed{0.25}

The Mathematical Representation

The mathematical representation of the problem can be written as:

1−(2−1+2−2)1 - (2^{-1} + 2^{-2})

This expression represents the amount of the creature that must still be obtained.

The Fractional Representation

The fractional representation of the problem can be written as:

14\frac{1}{4}

This fraction represents the amount of the creature that must still be obtained.

The Decimal Representation

The decimal representation of the problem can be written as:

0.250.25

This decimal represents the amount of the creature that must still be obtained.

The Percentage Representation

The percentage representation of the problem can be written as:

25%25\%

This percentage represents the amount of the creature that must still be obtained.

The Answer Choices

The answer choices for this problem are:

  • A) 0.25
  • B) 0.5
  • C) 0.75
  • D) 1

The correct answer is:

  • A) 0.25

The Explanation

Introduction

In our previous article, we explored the mathematical puzzle of Dr. Frankenstein's creature, where we found that the mad scientist still needs to obtain 0.25 of his creature. In this article, we will answer some frequently asked questions related to this puzzle.

Q: What is the whole in this problem?

A: The whole in this problem is the entire creature, which can be represented as 1. This is because the creature is considered to be a single unit, and we are trying to find the fraction of it that is still missing.

Q: What is the portion that Dr. Frankenstein has already gathered?

A: The portion that Dr. Frankenstein has already gathered is represented by the expression $2^{-1} + 2^{-2}$. This expression can be evaluated to find the decimal equivalents of the fractions.

Q: How do we find the decimal equivalents of the fractions?

A: To find the decimal equivalents of the fractions, we need to divide the numerator by the denominator. For example, $2^{-1} = \frac{1}{2} = 0.5$ and $2^{-2} = \frac{1}{2^2} = \frac{1}{4} = 0.25$.

Q: How do we add the fractions together?

A: To add the fractions together, we need to find a common denominator. In this case, the common denominator is 4. So, we can rewrite the fractions as $\frac{2}{4} + \frac{1}{4} = \frac{3}{4} = 0.75$.

Q: How do we find the missing portion?

A: To find the missing portion, we need to subtract the portion that Dr. Frankenstein has already gathered from the whole. In this case, we subtract 0.75 from 1 to find the missing portion.

Q: What is the missing portion?

A: The missing portion is 0.25.

Q: How do we represent the missing portion mathematically?

A: The missing portion can be represented mathematically as $1 - (2^{-1} + 2^{-2})$.

Q: How do we represent the missing portion fractionally?

A: The missing portion can be represented fractionally as $\frac{1}{4}$.

Q: How do we represent the missing portion in decimal form?

A: The missing portion can be represented in decimal form as $0.25$.

Q: How do we represent the missing portion in percentage form?

A: The missing portion can be represented in percentage form as $25%$.

Q: What are the answer choices for this problem?

A: The answer choices for this problem are:

  • A) 0.25
  • B) 0.5
  • C) 0.75
  • D) 1

Q: What is the correct answer?

A: The correct answer is A) 0.25.

Conclusion

In this Q&A article, we have answered some frequently asked questions related to the mathematical puzzle of Dr. Frankenstein's creature. We have found that the missing portion is 0.25, and we have represented it mathematically, fractionally, in decimal form, and in percentage form.