Question

1.7.PS-12Is the value of the expression greater than 1, equal to 1, or less than 1?122The value of the expression is greater than 1.less than 1.greater than 1.equal to 1.Click to select your answer(s) and then click Check Answer.

Answer 1

Given the expression:

`((1)/(2))^2`

When you square a fraction, you have to calculate the square of the numerator and the denominator:

`((1)/(2))=(1^2)/(2^2)`

The square of 1 is 1

The square of 2 is equal to four, so the result is:

`(1^2)/(2^2)=(1)/(4)`

As you can see, the result is one quarter, a fraction, since the numerator, 1, is being divided by 4, the result is less than one.