Rational Numbers and Decimal Conversions

The video tutorial explains rational numbers, which can be expressed as fractions, integers, or decimals. It covers how to convert fractions to decimals using long division and classifies decimals as either terminating or repeating. The tutorial also explains how to determine if a number is rational and provides examples of converting decimals to fractions, emphasizing the importance of reducing fractions.

What is a rational number?

• A number that cannot be expressed as a fraction

• A number that can be expressed as a fraction, integer, or a decimal that terminates or repeats

• A number that can only be written as a whole number

• A number that is always positive

Which of the following is a terminating decimal?

• 0.65

• 0.333...

• 0.999...

• 0.272727...

How do you determine if a decimal is repeating?

• It is a whole number

• It has a bar over the repeating digits

• It ends after a few digits

• It has a dot at the end

Which of the following is NOT a rational number?

• 1.333...

• 0.5

• 0.43524982...

• 2/3

What is the fraction equivalent of 0.28?

• 28/100

• 28/10

• 14/50

• 7/25

How do you convert a decimal to a fraction?

• Write the digits after the decimal as the numerator and the place value as the denominator

• Divide by 10

• Multiply by 100

• Add a zero to the end

What is the reduced fraction form of 0.28?

• 56/200

• 28/100

• 7/25

• 14/50

What is the fraction form of -3.8?

• -3 16/20

• -3 2/5

• -3 8/10

• -3 4/5

In the practice problem, what is the fraction form of 2.35?

• 2 35/100

• 2 70/200

• 2 7/20

• 2 14/40

What is the place value of the last digit in 2.35?

• Ones

• Tenths

• Hundredths

• Thousandths