Natural
Whole
Integers
Rational
Irrational
100

Is zero a natural number?

No. Zero does not have a positive or negative value. However, zero is considered a whole number, which in turn makes it an integer, but not necessarily a natural number. Zero's status as a whole number and the fact that it is not a negative number makes it considered a natural number by some mathematicians.



100

Are negatives whole numbers ?

No

100

Are integers all negatives ?

No, they also include positive.

100

Are negatives rational?

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

100

Can irrational numbers be whole numbers?

Irrational numbers can't be written as a ratio of two integers. The number is between integers, so it can't be an integer or a whole number. 

200

Are negatives natural numbers?

NO. The natural numbers (or counting numbers) are the fundamental mathematical set on which all other arithmetic is based. They do not include negative numbers. (The set of integers provides negative numbers.)

200

Every whole number is a positive.

False, zero is a whole number and it is not positive.

200

Every integer is positive.

Integers are like whole numbers, but they also include negative numbers so false.

200

Every integer is a rational number.

True because to be an integer it has to be a whole number and whole numbers are rational like the number one .

200

Every real number is rational.

False, irrational numbers are real like for example (the number with the best name) Pi is real.l 

300

Can natural numbers be irrational?

No. If a number is terminating or repeating, it must be rational; if it is both non terminating and non repeating, the number is irrational.The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

300

Every whole number is an integer.

True 

Integers are like whole numbers, but they also include negative numbers.

300

All integers are whole numbers.

Integers are like whole numbers, but they also include negative numbers so false

300

Are decimals rational numbers?

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. So, any terminating decimal is a rational number.

300

If a number is real then it is irrational.

False, real numbers also consist of rational numbers.

400

Are all whole numbers natural?

No.

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity so yes they are.

400

All whole numbers are real numbers.

True, the real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line. 

400

Are real numbers whole numbers?

False, the real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line.

400

Is zero a rational number?

True, 0  can be written in the form a/b, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number. 

400

Irrational Numbers

A number that cannot be expressed as the ratio of two integers.

500

True or false: Every natural number is positive. 

True because negatives are for taking away so it is not natural.

500

Whole number

Numbers that don't include any fractions or decimals. Examples: 0, 1, 2, 3, ...



500

Integers

Whole numbers including positive, negative and zero.

500

Every real number is rational or irrational.

True there is nothing in between, it is one or the other.

500

Provide an example of an irrational number.

Any number that cannot be represented as a ratio of integers because its decimal equivalent would go on forever
Pi is a classic example.