230k views
0 votes
Are there numbers whose squares are smaller than the number themselves rewrite it

User XtianGIS
by
4.3k points

1 Answer

2 votes

Numbers greater than zero but less than one have squares that are smaller.

Consider the number one-half (1/2); half of a half is a quarter (1/4 < 1/2)!

Of course, the square of a negative number is greater (since a negative squared is positive).

Only the numbers zero and one are equal to their squares.

another explanation:

Yes .

In fact there is an infinite number of numbers that have that condition. For example (1/2)² = 1/4.

In fact any positive number ’n’ such that 0<n<1 is a number which has a smaller number when squared.

User Pinkgothic
by
5.3k points