Answer :

Answer:

Step-by-step explanation:

Let's convert 4444544445​ to decimal (base 10) to find its value:

44445=4⋅53+4⋅52+4⋅51+4⋅50

44445​=4⋅53+4⋅52+4⋅51+4⋅50

Calculating each term:

4⋅53=4⋅125=500

4⋅53=4⋅125=500

4⋅52=4⋅25=100

4⋅52=4⋅25=100

4⋅51=4⋅5=20

4⋅51=4⋅5=20

4⋅50=4⋅1=4

4⋅50=4⋅1=4

Adding these together gives us:

44445=500+100+20+4=62410

44445​=500+100+20+4=62410​

Now, to find the next number after 4444544445​, we simply add 1 to 6241062410​:

62410+1=62510

62410​+1=62510​

Next, we convert 6251062510​ back to base 5 to find the equivalent base 5 numeral:

Performing the division:

625÷5=125remainder 0

625÷5=125remainder 0

125÷5=25remainder 0

125÷5=25remainder 0

25÷5=5remainder 0

25÷5=5remainder 0

5÷5=1remainder 0

5÷5=1remainder 0

1÷5=0remainder 1

1÷5=0remainder 1

Reading the remainders from bottom to top, we get 62510=10000562510​=100005​.

Therefore, the next number after 4444544445​ in base 5 is 100005100005​​

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