I C A N C O M P A R E A N D O R D E R R A T I O N A L N U M B E R S B Y U S I N G A N U M B E R L I N E .

1.5 RATIONAL NUMBERS

WHAT IS A RATIONAL NUMBER?

• A number that can be written as a quotient of two integers, where the divisor is not 0.• , 0.3, -6, and are all rational•Decimals must be terminating or repeating.

COMPARING RATIONAL NUMBERS

• First method: use a number line• Compare

• is farther to the right so

COMPARING RATIONAL NUMBERS

•Method 2: find a common denominator• The common denominator for is 4• So we have • Since it is true that

PRACTICE

• Compare

COMPARING DECIMALS

• Compare -4.4 and 4.7• Any negative number is less than a positive number so -4.4 < 4.7

• Compare -4.4 and -4.7• Try using a number line• -4.4 > -4.7

ORDERING RATIONAL NUMBERS

•How can you order rational numbers when there are integers, fractions, and decimals?

•Use a number line. Or…•Make them all the same form (all decimals or all fractions)

YOU TRY!

•Order the numbers from least to greatest:

ASSIGNMENT

• ODDS ONLY• P.28 #7-29