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Sagot :
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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