How to square a decimal

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PSAT Math › How to square a decimal

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Simplify. Assume all integers are positive real numbers.

$\sqrt{0.04}$

CORRECT

Explanation

$\sqrt{0.04}$

There are two ways to solve this problem.

First, leave the question in decimal form.

$\sqrt{0.04}=0.20$

$0.20\cdot0.20= 0.04$

Second, put your question in fraction form.

$\sqrt{0.04}=\sqrt{\frac{4}{100}}=\frac{\sqrt{4}}{\sqrt{100}}= \frac{2}{10}= 0.20$

Evaluate:

0.082

0.0064

CORRECT

0.064

0.00064

0.64

Explanation

0.08 * 0.08

First square 8:

8 * 8 = 64

Then move the decimal four places to the left:

0.0064

If all real values of $x$ lie between 0 and 1, which of the following is always greater than 1?

$x+1$

CORRECT

$x^{2}$

$x^{4}$

$5x^{2}$

$\frac{x}{10}$

Explanation

If $x$ is greater than 0, then adding 1 to $x$ will make it greater than 1. Taking a number between 0 and 1 to a power results in a smaller number.

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