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Maths TNSB Mentoring
Class 10
Numbers and sequences
Fundamental theorem of arithmetic
3.
TBQ - Give reason
Question:
2
m.
Determine whether the number \(4^n\) can have \(9\) as its units digit, where \(n\) is a natural number. Give justification.
Answer
:
\(4^n\) cannot end with the digit \(9\).
\(4^n\) can end with the digit \(9\).
Reason
:
\(4^n\) has the factor \(2\) and so it must be an even number.
\(4^n\) has the multiples that can end with the digit \(9\).
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