Square Roots with Fractions and Decimals

Categorize each of these statements based on whether they describe rational numbers or irrational numbers.

Groups:

(a) Rational Numbers

,

(b) Irrational Numbers

• Cannot be written as a ratio or fraction

• Includes square roots of non-perfect squares

• Includes terminating and repeating decimals

• Includes square roots of perfect squares

• Can be written as a ratio or fraction

• Includes non-terminating and non-repeating decimals

Which of the following types of numbers are included in the set of rational numbers? Select ALL that apply.

• Terminating and Repeating Decimals

• Non-Terminating and Non-Repeating Decimals

• Square Roots of Perfect Squares

• Square Roots of Non-Perfect Squares

Which value from the list of numbers is NOT a rational number?

any number that can be written as a fraction (terminating decimals, repeating decimals and square roots of perfect squares)

• rational numbers

• natural numbers

• repeating decimal

• irrational numbers

What is the square root of 1/4 ?

Find the square root.

√4/25

Mathematical Equivalence

ON

Find the square root of 0.07688 correct to one place in decimal.

• 0.27

• 0.3

• 0.2

• 0.277

Find the square root of 24.729 correct to two decimal places.

• 4.97

• 4.98

• 4.96

• 4.99

Find the square root of 605.16

• 24.6

• 23.6

• 21.6

• 20.4

The square root of 1.96 is_____

• 4

• 0.14

• 1.2

• 0.12