Math: Can You Pass The Number System Quiz?

Hint: It goes in the middle of the number line!

The whole numbers include all the positive integers (starting from 0) and their negatives. Since the given statement only mentions the positive integers (0, 1, 2, 3, ...), it is correct. Therefore, the answer is true.

Natural numbers are a set of numbers that start from 1 and continue indefinitely. Since positive numbers are numbers greater than 0, it can be concluded that natural numbers, being greater than 0, are indeed positive. Therefore, the statement "Natural numbers greater than 0 are positive" is true.

Hint: Which is further away from 0?

The statement is true because rational numbers are defined as numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Decimals, whole numbers, and natural numbers can all be expressed as fractions, therefore they can all be considered rational numbers.

The given numbers -2, -1, 0, 1, 2... are all examples of integers. Integers are whole numbers (positive, negative, or zero) that do not have any fractional or decimal part. They can be represented by the set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...}. Therefore, the most specific name for these numbers is "integers".

The number -4 is an integer because it is a whole number that can be positive, negative, or zero. It is not a natural number because natural numbers are only positive whole numbers starting from 1.

The correct answer is "negative 6" because when we say a number is negative, it means it is less than zero. In this case, the number is -6, so it is negative and can be expressed as "negative 6".

Whole numbers are the set of numbers that include all positive integers, zero, and their negatives. In this case, the numbers 0 and 4 are whole numbers because they are both positive integers and their negatives (-4 and -8.6) are not included in the given options. Therefore, the correct answers are 0 and 4.

The purpose of the number system is to communicate with other people and share ideas using math. The number system provides a standardized way of representing and manipulating quantities, allowing for clear and efficient communication of mathematical concepts and calculations. It enables us to express and understand numerical information in a universal language, facilitating collaboration and understanding among individuals with different backgrounds and languages.

The number 7 is an integer because it is a whole number that can be positive, negative, or zero. It is also a whole number because it is not a fraction or a decimal. Additionally, 7 is a natural number because it is a positive integer greater than zero.

Rational numbers can be expressed as fractions, where the numerator and denominator are both integers. This is because a rational number represents a ratio or a fraction of two integers. Therefore, all rational numbers can be written in the form of a fraction.

The given correct answer is "repeating, Repeating, REPEATING." This is because the decimal representation of the number 62.454545...(to infinity) repeats the digits 45 infinitely. A rational number is defined as a number that can be expressed as a fraction of two integers, and since the repeating decimal can be written as the fraction 62⅔, it is considered a rational number.

-3.2 is not an integer because it has a decimal part to it.
7/2 is not an integer because it is equation 3.5 which has a decimal part.

0 is considered an integer because it is a whole number that can be expressed without a fractional or decimal component. It is also considered a whole number because it is not a fraction or a decimal. However, 0 is not considered a natural number because natural numbers start from 1 and do not include 0.

The number 1.815 has a terminating decimal because it ends after a finite number of digits.

Natural numbers, integers, and whole numbers are all subsets of real numbers. Natural numbers are positive whole numbers, including zero. Integers are all whole numbers, both positive and negative, including zero. Whole numbers are all positive numbers, including zero. Repeating decimals, although they may not be expressed as a fraction, are also considered real numbers as they can be represented on the number line. Therefore, all the options listed are real numbers.