Question

Write each of these numbers in the correct column of the chart: 0, 1, imaginary numbers,

negative numbers, positive numbers, positive numbers , real numbers.

Answer 1

Answer: 0 and 1 are real numbers and

1 is a positive number

Explanation:

Zero is a rational number by definition, as it is also included in the set of integers and whole numbers, so zero exists in the set of real numbers. Zero is not in this set since real numbers and imaginary are mutually exclusive. So zero is therefore a real number, if we are considering sets.

Also, an imaginary number is the square root of a nonpositive real number. Since zero is non positive, and is its own square root, zero can be considered imaginary

Answer 2

The colums are

• Negative numbers.
• Positive numbers.
• Real numbers.

Number zero can be included into real numbers, because it's inside whole numbers which is sub-set of real numbers. Also, number zero is not positive or negative.

Number 1 can be classified as a natural number, which is basically positive numbers.

Imaginary numbers are outside real numbers set, it forms a whole and different set. It's important to know that these numbers are basically the product between a real number and number
`i`, so they can be positive or negative.