Question

Convert (324)𝑓𝑖𝑣𝑒 into base-ten

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Corbin

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To convert (324)𝑓𝑖𝑣𝑒 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)𝑓𝑖𝑣𝑒 = (3 × (5^2)) + (2 × (5^1)) + (4 × (5^0))

= (3 × 25) + (2 × 5) + (4 × 1)

= 75 + 10 + 4

= 89

Hence, (324)𝑓𝑖𝑣𝑒 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)𝑓𝑖𝑣𝑒 = (3 × (5^2)) + (2 × (5^1)) + (4 × (5^0))

= (3 × 25) + (2 × 5) + (4 × 1)

= 75 + 10 + 4

= 89

Hence, (324)𝑓𝑖𝑣𝑒 in base-ten is equal to 89.

Answer: 89

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