Understanding the Real Number System

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

• 3.14

• Square root of 5

• 4

• 1/2

What type of number is 0.246 with a repeating 6?

• Irrational

• Whole

• Natural

• Rational

Which set of numbers does -7.25 belong to?

• Natural

• Rational

• Whole

• Irrational

What is the correct order from least to greatest for the following: 6.25, square root of 38, 6.5, square root of 36?

• 6.25, square root of 36, 6.5, square root of 38

• 6.5, 6.25, square root of 38, square root of 36

• Square root of 36, 6.25, square root of 38, 6.5

• Square root of 36, square root of 38, 6.25, 6.5

What is the result of solving the equation a^2 = 25?

• 5

• -5

• 5 and -5

• 0

If b^2 = 90, what is the approximate value of b?

• 9.5

• 10

• -9.5

• 9

What is the cube root of 64?

• 8

• -8

• -4

• 4

In the equation 2d^3 = -250, what is the value of d?

• 5

• -5

• 10

• -10

What is the wingspan of a hang glider if the aspect ratio is 6.4 and the wing area is 40 square feet?

• 16 feet

• 15 feet

• 17 feet

• 14 feet

Why is the negative solution ignored in the wingspan calculation?

• Negative numbers are irrational

• Negative wingspans are not practical

• Negative numbers are not used in math

• Negative numbers are not real