### All ACT Math Resources

## Example Questions

### Example Question #1 : Basic Squaring / Square Roots

Find the square of .

**Possible Answers:**

**Correct answer:**

Squaring a decimal is identical to multiplying decimals.

Drop the decimal, multiply the number by its self, and then add up the decimal points in the original problem and put it back into your answer.

(note: 4 decimal places)

### Example Question #1 : Basic Squaring / Square Roots

What is ?

**Possible Answers:**

**Correct answer:**

You can solve this on your calculator, or think about it as a fraction to make the problem easier to do by hand. .

### Example Question #12 : Decimals

If and , what is equal to?

**Possible Answers:**

**Correct answer:**

First, we must figure out what is equal to.

We do .

Now to find out what is equal to, we look at .

We move our decimal points over so that we are dealing with only whole numbers. This gives us .

Finally, we count how many spaces we moved our decimals in total, and we move the decimal in our answer back that many spaces. To get from to we moved our decimal two spaces to the right. Because we did this for each of the values, our total spaces we moved the decimal was to the right.

Therefore, we must take and move the decimal places to the left. This gives us .

### Example Question #13 : Decimals

Evaluate the following:

**Possible Answers:**

**Correct answer:**

To solve, simply multiply 0.02 by 0.02 as though the numbers are without decimals.

Then, sum the number of spaces to the right of the decimal points in your problem and include that many in your answer.

Thus, your answer is .0004.

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