Comparing Rational Numbers: Methods and Properties

Which of the following is a rational number?

• π/2

• 4/7

• √2

• 8/0

Why can't we divide by zero?

• It results in a negative number

• It results in infinity

• It is undefined

• It results in zero

What is the result of cross multiplying 4/7 and 9/16?

• 63 and 64

• 28 and 36

• 36 and 49

• 64 and 63

Which method involves converting fractions to decimals for comparison?

• Converting to decimals

• Finding common denominators

• Finding the average

• Cross multiplication

What is the common denominator for the fractions -3/5 and 5/9?

• 45

• 9

• 5

• 27

Which of the following is NOT a method for comparing rational numbers?

• Finding common denominators

• Finding the average

• Cross multiplication

• Converting to decimals

What is the density property of rational numbers?

• Rational numbers are always whole numbers

• There are infinitely many rational numbers between any two rational numbers

• There are a finite number of rational numbers between any two rational numbers

• Rational numbers cannot be negative

What is the first step in finding a number halfway between two rational numbers?

• Multiply the two numbers

• Subtract the two numbers

• Divide the two numbers

• Get a common denominator

What is the reciprocal of 2?

• 1/2

• 1

• 2

• 1/4

What is the average of 7/8 and 8/9?

• 8/8

• 1

• 15/17

• 127/144