8.1 Rational Numbers

8.1 Rational Numbers

by Ashley Morris

​Rational Numbers

• ​Rational Numbers can be terminating or repeating decimals.

• ​Rational Numbers can be fractions, where the denominator is not 0.

​Integers

​Integers cannot be fractions

​Can be positive, negative, or zero.

​Whole Numbers

Cannot be fractions

​Can be positive or zero.

Natural Numbers

Cannot be fractions.

​Can be positive.

​Converting Decimals to Fractions

​Use place value to convert from decimal to fraction form.

​Converting Fractions to Decimals

​Use place value to convert from fraction to decimal form and simplify.

When a number is divided by 9, 99 or 999 it is a repeating decimal that repeats the numerator.

Multiple Choice

Which expression does NOT name an integer?

• -15

• 0

• 6/14

• 12/6

Multiple Choice

Which expression represents an irrational number?

• $$\overline{ }0.\overline{18}$$  

• $$\sqrt[]{75}$$  

• 6/14

• 0

Multiple Choice

Which number is  NOT a whole number?

• $$8$$  

• 18/3

• -10

• 0

Multiple Choice

WHICH OF THE FOLLOWING IS A FALSE STATEMENT?

• ALL REAL NUMBERS ARE RATIONAL NUMBERS. 

• -EVERY INTEGER IS A RATIONAL NUMBER.

• ALL NATURAL NUMBERS ARE INTEGERS

• EVERY WHOLE NUMBER IS A REAL NUMBER.

Multiple Choice

WHICH OF THE FOLLOWING IS A TRUE STATEMENT?

• -9 IS A WHOLE NUMBER 

•   $$\sqrt[]{25}$$  IS A RATIONAL NUMBER.

• 0 IS A NATURAL NUMBER.

• 2/3 IS A RATIONAL NUMBER.

Multiple Choice

What is 38/100 as a decimal?

• 0.38

• 0.038

• .389

• 0.4