Digits, Grade 7, Volume 1, Homework Helper

Unit A: Number and Operations

Topic 1: Operations with Rational Numbers

1-1: Rational Numbers, Opposites, and Absolute Value

Part 1

Intro

A rational number is a number that can be written in the form eh over b , where a and b are integers and b ne; 0.

You can also think of rational numbers as the whole numbers, fractions, and decimals you already know, and their opposites.

Here are some examples of rational numbers.

A Venn diagram.

Example Classifying Numbers

Decide if each number is a rational number, a whole number, or an integer.

table with 2 rows and 1 column , row1 column 1 , 1 , and 1 sixth , , 2 thirds , minus 0.1 0 minus 125 , row2 column 1 , negative 7 minus , 3 fourths , minus 2 , and 1 fourth , 1.9 13 , end table

Solution

Whole numbers are zero and the counting numbers.

0, 13

Integers include whole numbers and their opposites.

0, − 7, − 125, 13

Rational numbers can be written in the form eh over b .

1 , and 1 sixth , comma , 2 thirds , comma minus 0.1 comma 0 comma minus 125 comma minus 7 comma minus , 3 fourths , comma minus 2 , and 1 fourth , comma 1.9 comma 13


End ofPage 1

Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties