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.

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

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