Rational and Irrational Numbers

Rational and Irrational Numbers

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Thomas White

FREE Resource

In this tutorial, Shane Masonette explains how to distinguish between rational and irrational numbers. He defines rational numbers as those that can be expressed as a ratio of two integers and highlights that perfect squares are always rational. The tutorial further explores non-perfect squares, which result in irrational numbers, and provides examples to illustrate these concepts. Shane concludes by identifying which set of numbers contains all rational numbers and encourages viewers to subscribe for more math tutorials.

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this tutorial?

Understanding algebraic expressions

Recognizing rational and irrational numbers

Learning about calculus

Studying geometric shapes

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a rational number be expressed?

As a difference of two integers

As a product of two integers

As a sum of two integers

As a ratio of two integers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of a rational number?

It is always a whole number

It cannot be expressed as a fraction

It can be expressed as a ratio of two integers

It is always a decimal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a perfect square?

A number that is the square of an integer

A number that is a cube of an integer

A number that is always irrational

A number that can be divided by 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the square root of 144 considered rational?

Because it is a perfect square

Because it is a non-terminating decimal

Because it cannot be expressed as a ratio

Because it is an irrational number

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a perfect square?

32

225

8

40

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 225?

17

16

15

14

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