Question

please complete the following before the date listed above. show all of your work on this sheet of paper. 1) is the statement true or false? circle the correct answer. a) any negative number is an integer. true false b) 3.\overline{45} is a rational number. true false c) all natural numbers are whole numbers. true false

Explanation:

Step1: Define integers

Integers are whole - numbers and their negatives. But negative numbers like - 1.5 are not integers. So "Any negative number is an integer" is false.

Step2: Define rational numbers

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$. $3.\overline{45}$ is a repeating decimal and can be written as a fraction, so it is a rational number.

Step3: Define natural and whole numbers

Natural numbers are $1,2,3,\cdots$ and whole numbers are $0,1,2,\cdots$. So all natural numbers are whole numbers.

Answer:

a) False
b) True
c) True