Exploring Products and Sums of Real Numbers

Which of the following is an irrational number?

• 0.75

• 1.5

• √2

• 3/4

Which set of numbers includes both positive and negative numbers as well as zero?

• Whole numbers

• Integers

• Natural numbers

• Rational numbers

Which of the following is a natural number?

• 0

• 1

• -1

• 0.5

Which of the following is a whole number but not a natural number?

• 0

• 2

• 1

• 3

What is the result of adding two rational numbers?

• Always irrational

• Always rational

• Sometimes rational, sometimes irrational

• Always an integer

What is the result of multiplying two rational numbers?

• Always irrational

• Sometimes rational, sometimes irrational

• Always an integer

• Always rational

What is the square root of 36?

• 5

• 8

• 6

• 7

What is the result of multiplying -8 and 1?

• 0

• 8

• -8

• 1

What is the result of adding a rational number and an irrational number?

• Always rational

• Always irrational

• Sometimes rational, sometimes irrational

• Always an integer

What is the result of multiplying a rational number (except zero) and an irrational number?

• Sometimes rational, sometimes irrational

• Always irrational

• Always an integer

• Always rational