234 base five + 434 base 5 + xxxx base 5 =2304 please help

Mathematics

1 answer:

Kryger [21]2 years ago

7 0

It looks like the given equation is

234₅ + 434₅ + x₅ = 2304₅

First, we have

234₅ + 434₅ = 1223₅

because

• 4₅ + 4₅ = (8)₅ = (5 + 3)₅ = 10₅ + 3₅ = 13₅

(carry the 1)

• 3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

(carry the 1)

• 2₅ + 4₅ + 1₅ = (7)₅ = (5 + 2)₅ + 10₅ + 2₅ = 12₅

Then x₅ = 2304₅ - 1223₅. We have

• 4₅ - 3₅ = 1₅

0₅ - 2₅ is negative, so we borrow a 1 from the next digits place,

• 10₅ - 2₅ = (5)₅ - 2₅ = 3₅

• (3 - 1)₅ - 2₅ = 2₅ - 2₅ = 0₅

• 2₅ - 1₅ = 1₅

x₅ = 2304₅ - 1223₅ = 1031₅

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And 13 ones is equal to
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