Question
Convert (324)πππ£π into base-ten
171
likes853 views
Answer to a math question Convert (324)πππ£π into base-ten
Corbin
4.6107 Answers
To convert (324)πππ£π into base-ten, we need to evaluate the value of each digit in the number.
The base of the number system is given by the subscript of the number. In this case, the base is five.
The rightmost digit represents the zeroth power of the base, the second rightmost digit represents the first power of the base, the third rightmost digit represents the second power of the base, and so on.
Therefore, we can express the given number as follows:
(324)πππ£π = (3 Γ (5^2)) + (2 Γ (5^1)) + (4 Γ (5^0))
= (3 Γ 25) + (2 Γ 5) + (4 Γ 1)
= 75 + 10 + 4
= 89
Hence, (324)πππ£π in base-ten is equal to 89.
Answer: 89
The base of the number system is given by the subscript of the number. In this case, the base is five.
The rightmost digit represents the zeroth power of the base, the second rightmost digit represents the first power of the base, the third rightmost digit represents the second power of the base, and so on.
Therefore, we can express the given number as follows:
(324)πππ£π = (3 Γ (5^2)) + (2 Γ (5^1)) + (4 Γ (5^0))
= (3 Γ 25) + (2 Γ 5) + (4 Γ 1)
= 75 + 10 + 4
= 89
Hence, (324)πππ£π in base-ten is equal to 89.
Answer: 89
Frequently asked questions (FAQs)
Math question: Graph the inequality 2x + 3y β€ 5 on a coordinate plane. Consider x and y values between -5 and 5.
+
Question: What is the value of the square root of 7 subtracted from the product of 13 and 9, divided by the sum of 29 and 11, then multiplied by 2?
+
What is the value of x in the equation log(x) + log(2x) = log(100)?
+
New questions in Mathematics