Question 1

Which of the following numbers is an example of an irrational number?

Accepted Answer

$$\sqrt{15}$$

Question 2

Which set does the number $$-7$$ belong to?

Accepted Answer

Integer, Rational, Real

Question 3

Evaluate the following expression using the correct order of operations: $$3 + 6 	imes 2^2$ - 4$$

Accepted Answer

$$7$$

Question 4

Which of the following numbers is written in correct scientific notation?

Accepted Answer

$$4.5 	imes 10^7$

Question 5

Express $$0.000000091 in $$scientific notation.

Accepted Answer

$$9.1 	imes 10$$^{-8}$$

Question 6

A virus measures $$0.000005 cm in $$length. What is this length in scientific notation?

Accepted Answer

$$5 	imes 10$$^{-6}$$ cm

Question 7

Evaluate and express in scientific notation: $$(3 	imes 10^4$) \div (2 	imes 10^2$)$$

Accepted Answer

$$1.5 	imes 10^2$

Question 8

Which of the following is NOT a real number?

Accepted Answer

$$\sqrt{-9}$$

Question 9

Which of the following best describes the set of numbers to which $$0$$ belongs?

Accepted Answer

Whole, Integer, Rational, Real

Question 10

A chemist measures a sample's mass as $$4.6 	imes 10$$^{-1}$$ grams. If the sample is divided equally into 2$$ 	imes $$10^1$$ portions, what is the mass of each portion in scientific notation?

Accepted Answer

$$2.3 	imes 10$$^{-2}$$ grams

Question 11

Which of the following is a rational number?

Accepted Answer

$$0.00235$$

Question 12

Evaluate: $$5 + 10^2$ 	imes 6 \div 10^1$ and express your answer in scientific notation.

Accepted Answer

$$4.1 	imes 10^1$

Question 13

Which of the following is the correct order of operations for evaluating $$10 - 6 \div 5 - 3 - 4 |2 - 7|$$?

Accepted Answer

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Question 14

A biologist records the population of bacteria as $$1.2 	imes 10^6$. If the population doubles every hour, what will the population be after 3 hours? Express your answer in scientific notation.

Accepted Answer

$$9.6 	imes 10^6$

Question 15

Which of the following numbers is a natural number?

Accepted Answer

$$7$$

Question 16

A city is $$93,000,000$$ miles from the sun. What is this distance in scientific notation?

Accepted Answer

$$9.3 	imes 10^7$ miles

Question 17

Which of the following is a terminating decimal?

Accepted Answer

$$0.25$$

Question 18

If $$a = 2$$, $$b = 3$$, and $$c = 4$$, what is the value of $$a^2$$ + $$b^2$$ - $$c^2$$?

Accepted Answer

$$-3$$

Question 19

Which of the following is NOT a property of whole numbers?

Accepted Answer

They include all negative integers.

Question 20

A medical test result is $$0.000005$$ grams. Which of the following is the correct scientific notation for this value?

Accepted Answer

$$5 	imes 10$$^{-6}$$ grams

Precalculus Study Notes: Sets of Numbers, Order of Operations, and Scientific Notation

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