$$4.2 \times 10$$^{-11}$$ \text{ grams}

Question 1

Convert $$0.000000000042 to $$scientific notation.

Accepted Answer

$$4.2 	imes 10$$^{-11}$$

Question 2

Which of the following best describes the process for converting a small decimal like $$0.000000000042 to $$scientific notation?

Accepted Answer

Move the decimal point to the left until you have a number between 1 and 10, then count the number of moves as a negative exponent.

Question 3

A scientist measures the mass of a particle as $$0.000000000042$$ grams. Express this mass in scientific notation.

Accepted Answer

$$4.2 	imes 10$$^{-11}$$ 	ext{ grams}

Question 4

Which of the following numbers is equivalent to $$4.2 	imes 10$$^{-11}$$?

Accepted Answer

$$0.000000000042$$

Question 5

If you write $$0.000000000042 as$$ $$a 	imes 10^n in $$scientific notation, what are the values of $$a$$ and $$n$$?

Accepted Answer

$$a = 4.2, n = -11$$

Scientific Notation in College Algebra

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