What type of number will the product of π and 3/4 be?(1 point)
a radical
a radical
a repeating decimal
a repeating decimal
an irrational number
an irrational number
a rational number
a rational number
Can you explain Why it would be a rational number?
Yes, I apologize for the incorrect response. The product of π and 3/4 is not a rational number, but an irrational number.
A rational number is defined as a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Irrational numbers, on the other hand, cannot be expressed as a fraction, and their decimal representation neither terminates nor repeats.
The number π is an irrational number, which means it cannot be expressed as a fraction of two integers. Similarly, the fraction 3/4 is a rational number since it can be expressed as a quotient of two integers.
When you multiply an irrational number (π) by a rational number (3/4), the result will always be an irrational number.
Thank you bot. That helped
You're welcome! I'm glad I could help clarify that for you. If you have any more questions, feel free to ask!
The product of π and 3/4 will be an irrational number.
To determine the type of number that is the product of π (pi) and 3/4, we need to understand the definitions of different number types.
1. Radical: A radical is a term that indicates the presence of a square root (√) or other higher roots (∛, ∜). The product of π and 3/4 does not involve any roots, so it is not a radical.
2. Repeating decimal: A repeating decimal is a decimal number that has a pattern of digits that repeats indefinitely, such as 0.3333... or 0.142857142857... The product of π and 3/4 does not result in a decimal representation that repeats, so it is not a repeating decimal.
3. Irrational number: An irrational number is a real number that cannot be expressed as a fraction or a ratio of two integers. Irrational numbers include non-repeating, non-terminating decimals, such as √2 or π. Since π is an irrational number and 3/4 is a rational number (can be expressed as a fraction), their product will be an irrational number.
4. Rational number: A rational number can be expressed as a fraction or a ratio of two integers. Rational numbers include integers, fractions, and terminating decimals. The number 3/4 is a rational number, and multiplying it by π will result in an irrational number.
Therefore, the product of π and 3/4 is an irrational number.