ACT Math : How to square a decimal

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Square A Decimal

Find the square of .

Possible Answers:

Correct answer:

Explanation:

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 #2 : How To Square A Decimal

What is ?

Possible Answers:

Correct answer:

Explanation:

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 #3 : How To Square A Decimal

If  and , what is  equal to?

Possible Answers:

Correct answer:

Explanation:

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 #4 : Basic Squaring / Square Roots

Evaluate the following:

Possible Answers:

Correct answer:

Explanation:

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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