Real Number System & Ordering Real Numbers

Estimate and identify the two consecutive natural numbers between which the positive square root of 50 lies. Justify which natural number is the better approximation.

• 7 and 8; 7 is the better approximation

• 7 and 8; 8 is the better approximation

• 6 and 7; 6 is the better approximation

• 6 and 7; 7 is the better approximation

Describe the relationship between rational numbers and integers.

• All integers are rational numbers.

• All rational numbers are integers.

• Rational numbers and integers are disjoint sets.

• Integers are a subset of irrational numbers.

Which of the following is an example of an irrational number?

• 3.14

• 0.333...

Estimate and identify the two consecutive natural numbers between which the positive square root of 200 lies. Justify which natural number is the better approximation.

• 14 and 15; 14 is the better approximation

• 14 and 15; 15 is the better approximation

• 13 and 14; 13 is the better approximation

• 13 and 14; 14 is the better approximation

Describe the relationship between whole numbers and natural numbers.

• All whole numbers are natural numbers.

• All natural numbers are whole numbers.

• Whole numbers and natural numbers are disjoint sets.

• Natural numbers are a subset of integers.

Which of the following is a not an example of a rational number?

• 0.25

• 0.5