Understanding Rational Numbers

A videoaula aborda o conceito de números racionais, explicando que são números que podem ser expressos na forma de fração, onde o numerador e o denominador são inteiros e o denominador não é zero. Exemplos incluem números inteiros, decimais finitos, raízes exatas e dízimas periódicas. A aula também destaca que todo número inteiro é racional e que números decimais finitos podem ser convertidos em frações. A importância de entender a forma fracionária é enfatizada, e a aula conclui com um convite para mais vídeos.

What is a rational number?

• A number that is always negative

• A number that is always positive

• A number that cannot be written as a fraction

• A number that can be written as a fraction with an integer numerator and a non-zero integer denominator

Why can't the denominator of a fraction be zero?

• Because it would make the fraction positive

• Because it would make the fraction negative

• Because it would make the fraction zero

• Because it would make the fraction undefined

Which of the following is a rational number?

• π

• √-1

• 2/3

• 3/0

Can every integer be considered a rational number?

• Yes, because it can be written as a fraction with 1 as the denominator

• Yes, because all integers are positive

• No, because integers are always whole numbers

• No, because integers are not fractions

How can the decimal 1.3 be expressed as a fraction?

• 13/10

• 10/13

• 1/3

• 3/10

Which of the following is an example of a finite decimal that is a rational number?

• 1.414...

• 0.333...

• π

• 2.34

What is the square root of 25 and why is it considered a rational number?

• 25, because it is a whole number

• 5, because it is a fraction

• 5, because it is an integer

• 25, because it is a perfect square

What is a periodic decimal?

• A decimal that is irrational

• A decimal that terminates

• A decimal that is finite

• A decimal that repeats a sequence of digits infinitely

How can the periodic decimal 0.333... be expressed as a fraction?

• 3/10

• 1/3

• 3/1

• 1/10

Which of the following is NOT a rational number?

• √25

• 2/3

• 0.333...

• π