Question

Given numbers $-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121},2.041975...$list the ⓐ whole numbers ⓑ integers ⓒ rational numbers ⓓ irrational numbers ⓔ real numbers.

Short answer

Categorizing the given numbers we get,

a. Whole numbers : $6$

b. Integers : $6,-1,-\sqrt{25},\sqrt{121}$

c. Rational numbers : $-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121}$

d. Irrational numbers : $2.041975...$

e. Real numbers:$-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121},2.041975...$

Step-by-step solution

Sep 1. Given information

The numbers which are given are$-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121},2.041975...$

Step 2. Required definitions

• The positive integers and zero are called whole numbers.
• The numbers with no decimals and fractions are called integers.
• The numbers which can be expressed in the$\frac{p}{q}$ format is rational number.
• The numbers which can not be expressed in the $\frac{p}{q}$format is irrational number.
• The numbers which are not imaginary are called real numbers.

Step 3. Identifying the numbers

Following the mentioned definitions, we identify the given numbers and list them as,

a. whole numbers :$6$

b. Integers : $6,-1,-\sqrt{25},\sqrt{121}$

c. Rational numbers :$-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121}$

d. Irrational numbers :$2.041975...$

e. Real numbers :$-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121},2.041975...$