Understanding Fractions and Rational Numbers

Why can't the result of dividing one by three be represented by a natural number?

• Because natural numbers are not closed under division.

• Because three is not a natural number.

• Because division always results in a whole number.

• Because one is not divisible by three.

What is a unit fraction?

• A fraction that represents a whole number.

• A fraction that cannot be simplified.

• A fraction with a denominator of one.

• A fraction with a numerator of one.

How did ancient Egyptians represent quantities smaller than one that were not unit fractions?

• By using negative numbers.

• By using whole numbers.

• By adding different unit fractions.

• By using decimals.

What is a common fraction?

• A fraction with a numerator of one.

• A fraction with a denominator of one.

• A fraction that is a multiple of a unit fraction.

• A fraction that cannot be simplified.

What are the components of a common fraction?

• Integer and decimal.

• Whole number and decimal.

• Numerator and divisor.

• Numerator and denominator.

What is the significance of the denominator in a fraction?

• It divides the unit length into equal parts.

• It is always a prime number.

• It represents the whole number.

• It is always greater than the numerator.

What is a rational number?

• A number that is always positive.

• A number that cannot be divided.

• A number that is always a whole number.

• A number that can be expressed as a ratio of two integers.

Why are rational numbers considered closed under division?

• Because they are always positive.

• Because they cannot be divided by zero.

• Because division always results in a whole number.

• Because they include both integers and fractions.

What does the term 'rational' in rational numbers refer to?

• The ability to be expressed as a fraction with a denominator of one.

• The ability to be expressed as a decimal.

• The ability to be expressed as a whole number.

• The ability to be expressed as a ratio.

How can a fraction represent an integer?

• By having a denominator of zero.

• By having both numerator and denominator equal.

• By having a numerator of zero.

• By having a denominator of one.