Compare and Order
Sets of Real Numbers
Square Roots
True or False
Scientific Notation
100

Compare and order the numbers from least to greatest.


2π, √51, 6 1/10

6 1/10 < 2π < √51

100

What are natural numbers also called?

Counting numbers.

100

√2 = ? Round to the nearest hundreths if necessary.

Approximately 1.41

100

Whole numbers are always integers. Explain.

True. Whole numbers is a subset of integers.

100

Convert 3500 to scientific notation.

3.5 x 10^3

200

Compare the two numbers. Use the symbols <,>, or = to represent your answer. 


√50/2 and 4π/3

√50/2 < 4π/3 or 4π/3 > √50/2

200

Give an example of a number that is a whole number but not a natural (counting) number.

0

200

√121 = ? Round to the nearest hundreths if necessary.

11 and -11

200

Integers are always whole numbers. Explain.

False. Negative numbers are not part of the whole number subset. 

200

Convert 5.43 x 10^-6 to standard notation.

0.00000543

300

What two integers does √66 fall between on a number line?

8 and 9

300

What set or subsets does √144 belong to?

Natural (counting) numbers, whole numbers, integers, rational numbers and real numbers.

300

√196 = ? Round to the nearest hundreths if necessary.

14 and -14

300

Irrational numbers are sometimes rational. Explain.

False. Sets of irrational and rational numbers do not overlap. 
300

In scientific notation, when the power of ten is positive, what type of number can we most likely assume it is?

A large number compared to 1.

400

What two integers does -√ fall between on a number line?

-16 and -15

400

Give an example of a square root that is not rational.

Any non-perfect square root. 

400

√155 = ? Round to the nearest hundreths if necessary.

Approximately 12.45

400

Square roots are sometimes rational. Explain.

True. Perfect square roots are natural numbers, which are rational numbers. 

400

Convert 0.700652 to scientific notation.

7.00652 x 10^-1

500

Put the numbers in descending order.

-8.1, -8π/3, -√400/4

-√400/4 > -8.1 > -8π/3

500

What types of decimals are considered rational numbers? 

Terminating decimals and repeating decimals.

500

√200 = ? Round to the nearest hundreths if necessary.

Approximately 14.14

500

3.14 is an irrational number. Explain

False. 3.14 is a terminating decimal, and is a rational number.

500

Convert 160.098 to scientific notation.

1.60098 x 10^2