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

a. Whole numbers :$6$

b. Integers :role="math" localid="1644211388315" $6,-1,-\sqrt{25},\sqrt{121}$

c. Rational numbers : role="math" localid="1644211365446" $-\sqrt{25},-\frac{3}{8},-1,6,\sqrt{121}$

d. Irrational numbers : $2.041975...$

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

Step-by-step solution

Given Question

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

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.

Identifying the numbers

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

a. whole numbers :$6$

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

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

d. Irrational numbers :$2.041975...$

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