What Do You Know About Directed Numbers?

Explanation
Directed numbers, also known as signed numbers, are numbers that can be either positive or negative. They are used to represent quantities that have both magnitude and direction. Positive directed numbers represent quantities that are greater than zero, while negative directed numbers represent quantities that are less than zero. The answer "Positive or negative" accurately describes directed numbers as they can be either positive or negative depending on the context.

Explanation
Directed numbers have a concept of size or magnitude. This refers to the numerical value of the number, regardless of its sign. For example, both -5 and 5 have a size of 5. Size helps us compare and order numbers, understanding their relative values.

Explanation
A whole directed number is called an integer. Integers are numbers that include both positive and negative whole numbers, as well as zero. They are used to represent quantities that can be counted or measured in both forward and backward directions. Integers are commonly used in mathematics and are an essential concept in number theory and algebra.

Explanation
Directed numbers have direction. This means that they can be positive or negative, indicating whether they are greater or lesser than zero. The sign of a directed number represents its direction, with positive numbers indicating a forward or upward direction, and negative numbers indicating a backward or downward direction. The concept of direction is fundamental in understanding and working with directed numbers.

Explanation
A number without a sign refers to a positive number. In mathematics, positive numbers are represented without a sign symbol, indicating that they are greater than zero. Unlike negative numbers which have a minus sign (-), positive numbers are considered to be directionless and do not indicate any specific direction. Therefore, the correct answer is positive.

Explanation
A number line can be used to show the size of certain numbers. It is a visual representation of numbers arranged in a straight line, with positive numbers to the right and negative numbers to the left. The position of a number on the number line indicates its magnitude or size. By using a number line, we can compare and determine the relative size of different numbers.

Explanation
The term "absolute value" refers to the distance of a number from zero on a number line. It is always a positive value, as it represents the magnitude or size of the number, regardless of its sign. Therefore, the absolute value is the correct term that tells how far a number is from zero.

Explanation
A cardinal number is a number used to indicate quantity or how many of something there is. Therefore, the question that a cardinal number answers is "How many?" This question seeks to determine the quantity or number of something.

Explanation
Ordinal numbers deal with the position or order of things in a sequence or series. They are used to indicate the position of an element in relation to others, such as first, second, third, etc. Ordinal numbers are different from cardinal numbers, which represent quantity or value. Therefore, the correct answer is "Position."

Explanation
A nominal number is used for identification purposes. It is a type of number that is assigned to something or someone in order to uniquely identify them. This can be seen in various contexts such as identification numbers for individuals, product codes for items, or account numbers for customers. The purpose of a nominal number is to provide a distinct identifier that can be used to differentiate and track different entities.