Q.) Write the cubes of all natural numbers between 1 and 10 and verify the following
statements:
(i) Cubes of all odd natural numbers are odd.
(i) Cubes of all even natural numbers are even.
Pls give me the correct answer and correct explanation pls..the above one is the question...help pls..
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Answer:
1 cube = 1
2 cube = 8
3 cube = 27
4 cube = 64
5 cube = 125
6 cube = 216
7 cube = 343
8 cube =512
9 cube = 729
10 cube = 1000
i) true
Thus, cube of an odd natural number is odd.
ii)true
Multiplication of three even natural numbers will be always even. It means a cube of even natural numbers is an even number. Here we can see that cube of 12 is 1,728 which is an even number and cube of 16 is 4,096 which is also an even number.
Hope it's help you
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