G8

(^) Copyright © Swun Math Grade 8 Unit 1 Lesson 2 C TE

Homework

Unit 1 · Lesson 2: Rational vs. Irrational Numbers

Objective: I will identify rational and irrational numbers and the differences between them.

Vocabulary Steps:

Whole Numbers: the natural numbers, including

0

0, 1, 2, 3, ...

Integers: the set of all counting numbers,

including 0, and their opposites

... ─3, ─2, ─1, 0, 1, 2, 3, ...

Squared Numbers (Perfect Square): the result

after multiplying an integer by itself

Real Numbers: rational and irrational numbers

Rational Numbers: whole numbers, fractions,

and decimals represented as a ratio of two

integers; can be represented in fractional form:

where 푥푥푦푦 are integers and y ≠ zero.

1.5 =

3

2 = ratio^

Irrational Numbers: the set of all numbers that

cannot be written as a ratio; cannot be written as

a simple fraction because the decimal is non-

terminating and non-repeating

0. 101101110 ... , �^23 ,휋휋,√ 10 ,√1.6,−√ 123

1. Determine if the number can be expressed as
   a fraction.
    If so, the number is rational.
    Check for terminating/repeating
   decimals.
    Look for perfect squares.
    If not, the number is irrational.


2. Justify your answer.

Name: ___

Date: ___