PSAT Math : How to use scientific notation

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #144 : Exponents

Express 0.000000076 in scientific notation.

Possible Answers:

Correct answer:

Explanation:

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Example Question #145 : Exponents

Express the square of  in scientific notation.

Possible Answers:

Correct answer:

Explanation:

Take advantage of the exponent rules.

Example Question #146 : Exponents

The number  is equivalent to which of the following?

Possible Answers:

Correct answer:

Explanation:

Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Scientific_notation

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is 

Example Question #147 : Exponents

Put the following value in scientific notation:

Possible Answers:

Correct answer:

Explanation:

Our first value for scientific notation should be between  and . We then multiply this value by  raised to a power equal to the number of spaces our decimal has moved to the left.

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