To complete the expression, simplify the numbers on both sides and then compare them.
=
Practice makes perfect
We want to complete the given statement with <, >, or =. Let's take a look at the given expression.
0.5 sqrt(0.25)
To complete this statement, we need to evaluate the expression on the right-hand side. Notice that it is a positivesquare root, which means we do not need to find the negative root.
sqrt(0.25) ⇒ 0.5
We found that the expression on the right-hand side is equal to 0.5. This means that both sides are equal. Let's complete the statement.
0.5 = sqrt(0.25)
Extra
Square Root Representation
Let's recall what we know about different representations of the square roots.
Representation
Square Root
Example
sqrt()
Positive
sqrt(4)=2
- sqrt()
Negative
-sqrt(4)=-2
± sqrt()
Both
± sqrt(4)=2 and -2
There is one special case when calculating square roots, the number 0. The only square root of 0 is 0. Now, let's consider a slightly modified version of the exercise.
0.5 - sqrt(0.25)
We already found that the square root of 0.25 is 0.5. However, this time the expression represents the negative square root, so the negative square root of 0.25 is equal to -0.5. Let's complete the modified version of the expression.
0.5 > - sqrt(0.25)
