Question
TWO TRUTHS AND A LIE
Circle which one of the three statements below is a lie?
Explain how you made your choice.
• -8.53247 is irrational
• 8 ½ is rational
• -1.4 is rational
Circle which one of the three statements below is a lie?
Explain how you made your choice.
• -8.53247 is irrational
• 8 ½ is rational
• -1.4 is rational
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which statement is the lie, let's evaluate each one:
1. **-8.53247 is irrational**: A number is considered irrational if it cannot be expressed as a fraction of two integers. However, -8.53247 is a decimal that can be represented as a fraction (specifically, -853247/100000). Therefore, this statement is false, meaning -8.53247 is actually a rational number.
2. **8 ½ is rational**: The number 8 ½ (which can be expressed as 8.5 or as a fraction 17/2) can also be represented as a fraction of two integers. Thus, this statement is true.
3. **-1.4 is rational**: The number -1.4 can also be expressed as a fraction (-14/10) or in simpler form (-7/5). Consequently, this statement is true.
Based on the analysis:
- The lie is **-8.53247 is irrational**, because it is actually a rational number despite being presented as an irrational one.
1. **-8.53247 is irrational**: A number is considered irrational if it cannot be expressed as a fraction of two integers. However, -8.53247 is a decimal that can be represented as a fraction (specifically, -853247/100000). Therefore, this statement is false, meaning -8.53247 is actually a rational number.
2. **8 ½ is rational**: The number 8 ½ (which can be expressed as 8.5 or as a fraction 17/2) can also be represented as a fraction of two integers. Thus, this statement is true.
3. **-1.4 is rational**: The number -1.4 can also be expressed as a fraction (-14/10) or in simpler form (-7/5). Consequently, this statement is true.
Based on the analysis:
- The lie is **-8.53247 is irrational**, because it is actually a rational number despite being presented as an irrational one.
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