Show:
Rational/Irrational
Vocabulary
Square Roots
Cube Roots
Evaluating Root Expressions/Estimation
100

Is a terminating decimal rational or irrational? 

Give an example of a terminating decimal. 

Rational

3.4

100

What is a repeating decimal? 

A decimal that has a number or group of numbers that repeat. 

100

What is the square root of 121? 

11

100

What is the cube root of -512? 

-8

100

Estimate the square root of 29 to the nearest tenth. 

No calculator

5.4

200

Give an example of an irrational number. 

0.1254327032945633....

pi

Square root of 2

200

What is a perfect cube? 

Give an example of a perfect cube. 

The result of multiplying a number by itself 3 times. 

Example: 8

200

What is the negative square root of 64

-8

200
Is 342 a perfect cube? 
No
200

Solve the expression below. 

2(square root of 25) - 5

5

300

Classify the number -6 as rational, integer, whole number, natural number, or rational. It can be more than one. 

Rational and Integer

300

Define square root. 

The side length of a square. Or the number the you multiply to itself twice to get a perfect square.

300

What is the square root of 1/25?

1/5

300

What is the cube root of 1/1331? 

1/11

300

Solve the expression below. 

(square root of 32)2 - 11

21

400

Explain why the square root of 5 is irrational. 

Because 5 is not a perfect square. Or the square root of 5 is a decimal that does not terminate or does not end.

400

What is a terminating decimal? 

A decimal in which the numbers after the decimal point ends or terminates. 

400

If a square has an area of 100, what are the side lengths of the square? 

10

400

What is the next perfect cube after 8? 

27

400

Estimate the square root of 125. 

No calculator

11.2

500

Tell whether each number is rational or irrational. 

5 

-1/2

3.4593829582034...

0.333333...

Rational

Rational

Irrational

Rational 

500

Define an irrational number.

An irrational number is a number that cannot be written as a fraction. The decimal form does not terminate or repeat. 

500

Explain why you can not take the square root of a negative number. 

A negative times a negative is positive. 

A positive times a positive is positive. 

Therefore, you can not multiply two numbers together and get a negative perfect square. 

500

What is the cube root of -1000?

-10

500

2/7 + square root of 1/16

15/28