Understanding Rational Numbers and Fractions

The video tutorial explains rational numbers, which can be expressed as fractions, integers, or decimals. It covers converting fractions to decimals using long division and classifying decimals as terminating or repeating. The tutorial also discusses identifying rational numbers and converting decimals to fractions, emphasizing the importance of reducing fractions.

What is a rational number?

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

• A number that is always irrational

• 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

Which of the following is a terminating decimal?

• 0.333...

• 0.999...

• 0.65

• 0.272727...

How do you determine if a decimal is repeating?

• It ends after a few digits

• It has a bar over the repeating digits

• It has a dot at the end

• It is a whole number

Which of the following is NOT a rational number?

• 1.333...

• 2/3

• 0.5

• 0.43524982...

What is the fraction equivalent of 0.28?

• 28/10

• 28/100

• 7/25

• 14/50

How do you simplify the fraction 28/100?

• Divide both numerator and denominator by 2

• Divide both numerator and denominator by 4

• Multiply both numerator and denominator by 4

• Multiply both numerator and denominator by 2

What is the fraction form of -3.8?

• -3 4/5

• -3 16/20

• -3 8/10

• -3 2/5

What is the first step in converting a decimal to a fraction?

• Write the decimal as a whole number

• Identify the place value of the last digit

• Add a zero to the decimal

• Multiply the decimal by 10

What is the fraction form of 2.35?

• 2 14/40

• 2 35/10

• 2 7/20

• 2 35/100

How do you reduce the fraction 35/100?

• Multiply both by 5

• Multiply both by 2

• Divide both by 5

• Divide both by 2