Estimating with Irrational Numbers Quiz

What is a key characteristic of an irrational number?

• It is always a whole number.

• It can be expressed as a fraction.

• It cannot be expressed as a fraction.

• It has a repeating decimal pattern.

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

• 3.14

• Square root of 2

• 1/2

• 0.75

When estimating the square root of 10, which two perfect squares is it between?

• 1 and 4

• 9 and 16

• 4 and 9

• 16 and 25

What is a reasonable estimate for the square root of 10?

• 2.5

• 3.1

• 4.0

• 5.0

What is the first step in estimating the square root of 38?

• Find the exact value using a calculator.

• Use the square root of 36 directly.

• Count up to the nearest perfect square.

• Guess a number randomly.

Which perfect squares are used to estimate the square root of 38?

• 25 and 36

• 36 and 49

• 49 and 64

• 16 and 25

What is a good estimate for the square root of 38?

• 7.0

• 6.0

• 5.5

• 6.2

When estimating the square root of 5, which two perfect squares is it between?

• 16 and 25

• 9 and 16

• 4 and 9

• 1 and 4

What is a reasonable estimate for the square root of 5?

• 3.0

• 3.5

• 2.2

• 2.0

What does the 'approximately equal to' symbol indicate?

• A less than relationship

• A greater than relationship

• A rough estimate

• Exact equality