Question

Give me an irrational number with a value higher than 10, an integer between -5 and -6, a whole number less than 0, and a rational represented by a square root.

A. √13
B. -6
C. -3
D. √16

Answer 1

The student is asking to identify different types of numbers. √13 (Option A) is an irrational number greater than 10, -6 (Option B) is an integer and the closest to falling between -5 and -6, and √16 (Option D) is a rational number because it equals 4.

Step-by-step explanation:

Based on the student's request, we need to identify a series of numbers that meet specific mathematical criteria: an irrational number greater than 10, an integer between -5 and -6, a whole number less than 0, and a rational number represented by a square root.

• An irrational number greater than 10: Option A. √13 is an irrational number because the square root of 13 cannot be expressed as a simple fraction, and it is greater than 10.
• An integer between -5 and -6: There is no integer between -5 and -6 as integers are whole numbers without fractions. However, the integer closest to being between -5 and -6 is B. -6.
• A whole number less than 0: The examples given do not include a whole number less than 0, since whole numbers are non-negative integers. Thus, none of the given options fit this category.
• A rational number represented by a square root: Option D. √16 is a rational number because it is equal to 4, which is a whole number and can be expressed as a fraction (4/1).