Is a negative number greater than a whole number Explanation: On the number line, negative numbers are located to the left of zero, while positive numbers are to the right. What does positive numbers include? Positive and Negative Rational Numbers, in Mathematics, are classified under the concept of rational numbers for Class 7 students. For example "6" is 6 away from zero, but "−6" is also 6 away from zero. And so on. 4 and -8 < -2. I tested with two 1000-element lists of random integers, one filled with random. Positive integers are numbers that are greater than zero. A positive number is a number greater than zero. b) The integers are the whole numbers and their opposites (which includes 0). Their opposites, which are less than 0, are called negative integers. -3 is greater than -4 and (-3)/(-4) = 3/4 is a positive proper fraction. Dec 12, 2024 · 2, if you're considering only positive numbers (numbers greater than 0) 0, if you're considering only non-negative numbers (numbers greater than or equal to 0) If negative numbers are allowed, then there is no smallest even number Aug 4, 2015 · Whole numbers to the right of zero, or greater than zero, are known as positive integers. 3 is greater than -2 and 3/(-2) = -3/2 is a negative improper fraction. 6 is not. Aug 23, 2024 · Negative numbers are not whole numbers since whole numbers are defined as non-negative integers, which contain 0 and all positive integers (1, 2, 3, and so on). Positive numbers do not need to be integers, they can also be decimals, fractions or See full list on geeksforgeeks. When adding, multiplying, or dividing two positive numbers together, the answer will always be positive. A whole number greater than one that has exactly two positive factors: one and itself. randint(30, 100). It is always written with a "-" symbol in front of it. The whole numbers are on the right side of the 0 and in the left side of the 0 there are negative numbers. * FROM Rules T3 WHERE T3. In mathematics, a negative number is the opposite of a positive real number. The set of whole numbers and their opposites. Mar 26, 2020 · Negative numbers are defined as numbers less than zero. However, the number 0 is the only whole number in the list since it is an integer and its negative counterpart is also included in the set of whole numbers. Raising a negative number to a power greater than one Remember, when raising a negative number to a power greater than 1 , the resulting answer could be positive or Sep 22, 2023 · Any number that is not a fraction, percent, decimal, or negative is a whole number. Remember that zero is neither positive nor Integers are whole numbers that can be positive, negative, or zero. You cannot validate that "a string is an integer", because there's no such thing - no object can be a string and a number at the same time. Jan 15, 2025 · Unlike an equation, which leaves you with one final number as your answer, the solution to an inequality is a range of numbers. For instance: If we take x = -11, then: ∣ x ∣ = ∣ − 11∣ = 11. The set of whole numbers is denoted by W. Explain why the product of 13 x 9/5 is greater than 13. While this number line shows only the whole numbers $0$ through $6$, the numbers keep going without Natural numbers are always whole numbers Numbers less than 0 (negative numbers), for example, is greater than , then minus is a natural number Jul 19, 2024 · Whole Numbers. The centre of the number line is marked as 0. The positive integers are the numbers which are greater than zero. An integer is any positive I did a little profiling on this. Negative numbers also need not be integers; they can be decimals, fractions or irrational numbers. Jan 14, 2025 · Whole numbers are a basic part of mathematics. Order integers. positive number. We’ll give you a few examples to make sure you understand. Negative integers have rules for performing different calculations. sign() is 0, it will return a +/- 0. NO numbers with decimals and NO Negative numbers are in this group. Example: 1/2 is not a whole number. The irrational numbers are numbers whose decimal form does not stop and does not repeat. The opposite of 3 is –3. Solution. * 2 x 3 = 6 (the product). Example:-5 is less than -2. To describe one number as less than another, we use the symbol "<". Integers (whole numbers) are ordered on a number line based on positive integers and negative integers. You’re confusing whole numbers vs rational numbers with positive vs negative. Always keep in mind that any positive number is greater than any negative number. 5 is a positive number. Answer. When we put together the rational numbers and the irrational numbers, we get the set of real numbers. Whole numbers greater than zero are called positive integers. sign() function returns either a positive or negative +/- 1, indicating the sign of a number passed into the argument. Mar 9, 2015 · Please note that when the selected value is a negative number it should be returning both positive and negative numbers, and it seems to be excluding the negative numbers from the results. For example, students might incorrectly assume -3 is greater than 2 because 3 is a larger number. {2,4,8. Locate the whole number 5 and its opposite (negative) on the number line. That said, there is a such thing as absolute value, which is how far a number is from zero. The whole number is obtained when we include 0 along with the natural numbers. It’s an odd number; Prime numbers, besides 2 Are all positive counting numbers greater than or equal to zero. Aug 9, 2010 · This case also works when we want to compare signed characters for both positive and negative numbers. Feb 9, 2016 · No, it is not possible for a negative number to be greater than a positive number. Aug 3, 2023 · Prime numbers are natural numbers greater than 1, having exactly two factors, 1 and the number itself. 14159, 11, 11. Students sometimes assume that the larger a negative number the greater it is. (-8) * 0. For example, $2 \gt −3$ or $100 \gt −100$. Unlike integers which must be round numbers, negative numbers can be decimals or fractions, too. Whole numbers less than zero are called negative integers. These numbers are represented with a plus sign on the number line. The main concept is that parentheses represent solutions greater than or less than the number, and brackets represent numbers that are greater than or equal to or less than or equal to the number. Apr 28, 2022 · Number greater than zero? A number greater than zero is any numerical value that is larger than zero on the number line. For example, -6 and -15 are negative numbers. negative number A number less than zero. ) If a number is negative, there will be a negative (-) symbol in front of the number. It includes complete or whole numbers like 4, 67, 12, and so on. Operations with Negative integers. They refer to size, which feels wrong when we deal with negative numbers, because things are never a negative size. 1. x is a negative multiple of 2. Positive numbers can be whole numbers, fractions, or decimals, unlike positive integers which can only be whole numbers. $$-4 \times 10^{50}$$ Sep 25, 2023 · No. The absolute value of a negative number can be greater than that of a positive number. A whole number means a number that does not include any fractions, negative numbers or decimals. Numbers to the right are greater than numbers to the left and numbers to the left are less than numbers to the right. All positive numbers are greater than zero and all negative numbers are less than zero. It is nothing but subtraction between the two numbers and giving the sign of the greater number. Negative and positive WHOLE NUMBERS and zero. A positive integer is a whole number greater than zero, while a negative integer is a whole number less than zero. g. [1] Equivalently, a negative number is a real number that is less than zero. Are all positive numbers greater than all negative numbers? Answer. For example, 3 comes to the right of 1, so 3 > 1. You can see that positive numbers are greater than negative numbers because they are all above zero, which negative numbers are not. It can be written with or without a "+" symbol in front of it. This will be the location of the opposite (negative) of the whole number 5, which we indicate by the symbol −5. Prime number. A negative number does not have to be a round number. Also 0 > -1, 0 > -5, etc. However, you must be careful when comparing two negative numbers. The opposite of –7 is 7. The number line is a line labeled with the integers in increasing order from left to right, that extends in both directions: For any two different places on the number line, the integer on the right is greater than the integer on the left. Aug 26, 2024 · Prime numbers are natural numbers greater than 1 that have exactly two distinct positive divisors: 1 and themselves. Jan 1, 2025 · Rational numbers with decimals are easier to compare because they don't have to be converted. Because the number three itself is not a solution, we put an open parenthesis at three. Jan 22, 2025 · We have seen that all counting numbers are whole numbers, all whole numbers are integers, and all integers are rational numbers. 4 is greater than 3 and 4/3 is a Sep 2, 2024 · Since the graph of $−120$ is to the left of the graph of $–10$ on the number line, that number is less than $−10$. So, we can say that on a number line, as we move towards the right, the value of numbers increases. The product is greater than the whole number. For every positive integer, there’s a negative integer, called an additive inverse, that is an equal distance from zero. The prime factorizaton of 76 is _____. 56. A number is natural if it is one of the counting numbers (greater than 0), i. Examples: 0, 1, 2, 300 1,000. Integers: Include both negative and positive numbers. Remember that a negative number is always less than zero. The greatest negative integer other than -0 would be -0. The set of all counting numbers less than or equal to 8, List all the elements of the following set. negative number. For example, if your solution is >, that means any number greater than is a potential solution. Use set notation and the listing method to describe the set. , natural numbers + 0). Dec 22, 2011 · I need a RegEx for a numeric value with up to two decimal places greater than zero and may or may not have a zero in the ones column. 5 x 0. 25 etc 0. SELECT T3. It is a set of non-negative a number belonging to the set made up of the whole numbers and their opposites. For example, if you have two numbers, 3 and 5, the comparison of these two numbers will tell you that 5 is greater than 3. For example, -2 is smaller than -1. However, there are a few more properties of negative numbers that you should know. randint(0, 100) (failing) and one filled with random. Integers are It’s a whole number; Prime numbers are whole numbers that can’t be divided by any other whole numbers besides 1 and itself. 1 and −5 are not whole numbers. 1 is a positive number, so is 2, 2. 97` (b) `-pi` (c) `-2` (d) `-3/5` The negative numbers are represented on the left half of the number line. For this specific case, any negative number that falls in the range of − 9 to − 1 is greater than − 10 according to the number line, where numbers become larger as they approach zero. Positive integers have a value that is greater than zero (meaning to the right of 0 on the number line), while negative integers are less than zero (or to the left of 0 on the number line). For this reason I have started to employ "higher than" and "lower than" instead, which feel much more appropriate. However, taking the negative of a number reverses the order relations. The integers that are greater than 0 are positive integers. On a number line, they are represented on the left side of zero and they have a negative sign before them. a number that is greater than zero. We write a minus in front of negative numbers. 0. 2) = -3 and -3 < 15Whole number negative, decimal negative. It can also be defined as a whole number that can’t be exactly divided by anything except 1 and itself. 25), as well as case where your pattern has a decimal part that is 0. 1 / 12. Positive numbers, on the other hand, are more than zero. Negative numbers seem a little scary at first, but they really aren’t that bad. Negative Numbers on the Number Line. All real numbers less than or equal to $5$ or greater than $10$. But if the list is all 30+, min can be faster. The four negative numbers above are indicated on the following number line like this: The fraction two-fifths is less than one, so the answer of a fraction less than one times a whole number will make the whole number less. An integer is any positive whole number or its negative. Because of this rule, 0 is also not a prime number. This means that the numbers present on the right are larger than the numbers on the left. org Yes, there is a negative number that is greater than every other negative number. Negative integers are negative numbers less than zero and are denoted with a minus sign. charCode >= 48 ensures that only numbers greater than or equal to 0 are returned, while the min tag ensures that you can come to a minimum of 1 by scrolling within the input bar. 3 is greater than -4 and 3/(-4) = -3/4 is a negative proper fraction. So for example –4 is less than –1 zero is greater than –120 90 is greater than –1 Larger /smaller - watch out! a number belonging to the set made up of the whole numbers and their opposites. This means they cannot be evenly divided by any other numbers. A whole number is one that does not have a decimal or fraction (eg 10 is whole but 10. Whole numbers are represented by W. So the absolute value of 6 is 6, and the absolute value of −6 is also 6 Mar 27, 2022 · The number -4 is a distance of 4 units away from 0 on the number line. Whole Numbers are simply the natural numbers, including zero (i. and more. Negative numbers are numbers that are smaller than zero, and positive numbers are numbers that are bigger than zero. This is not always true for subtraction. For example, (-8) – (-2) is equivalent to (-8) + (+2) = -6 The numbers which do not exist between 0 and infinity are not whole numbers. When subtracting a negative number from a negative number is same as adding a positive number to a negative. Similarly, you can also choose numbers like -12, -15, -20, or even -100: May 4, 2019 · When a positive whole number is multiplied by a mixed number, which is also an improper fraction, the product will be greater than the whole number if the mixed number is positive. The fraction nine fifths is more than one because it is an improper fraction. Negative numbers are always less than zero. The numbers 0, 1, 2, 3, 4, 5 are all whole numbers. See somments belo Notice that every natural number is a whole number. Here, event. Apr 28, 2022 · A negative number is defined as a number that is less than zero. By definition when a number is written in the form of a product of two numbers where the first number is greater than or equal to one but less than 10 and the second number is the power of 10 written in exponential form, it is called as scientific notation. Note: (i) Zero is less than every positive integer, and greater than every negative integer. For example, -1 is greater than -2, -3, -4, and so on. Sep 16, 2008 · The Number Line. The numbers 4 and -4 are the same distance away from 0 on the number line. ) A negative number is any number whose value is less than zero. E. Width > '-. The integer zero is neither positive nor negative. For example the absolute value of -10 is 10. Primes are fundamental in mathematics due to their role in various number properties and operations, serving as the “atoms” of the numerical world. Share Improve this answer Jul 14, 2023 · Hello! Actually, zero is neither a negative or a positive number. Mistake 2: Forgetting the rules for comparing negative numbers with positive numbers. For example, 0 < 1, 0 < 10, etc. Figure $\PageIndex{1}$: The numbers on the number line get larger as they go from left to right, and smaller as they go from right to left. Mistake 3: Getting confused with zero. Example: -2, -6, and -20 are negative integers. (2 × 2) × 19. Dec 16, 2022 · And can you factorize a negative number if you don’t have negative primes? Negative numbers are not primes … We’ll start with this question from 1999: Why Aren't There Negative Prime Numbers? Can negative numbers be prime numbers? In my math book it says that a prime number is a whole number greater than 1 that has only two factors, 1 and Aug 31, 2020 · What is Greater a negative number or a positive number? . 3 = -2. However, we can A positive number is always greater than a negative number. The number 0 is the only number that is its own opposite. For example, two is less then three, but negative two is bigger than negative three. Positive numbers are numbers that are greater than 0. 80'; The values contained in T3. 5 or 3. 125. Oct 6, 2021 · All real numbers less than $−15$. Jan 24, 2018 · A similar situation is the case that the sum of two positive numbers is bigger than either of them. Fractions/Decimals: Involve parts of a whole and are not considered whole numbers. I should also add. A collection of numbers that includes all positive integers and 0 is known as a whole number. $x<−15$ 3 Learn about whole numbers and integers with interactive exercises and videos on Khan Academy. Whole numbers to the left of zero, or less than zero, are known as negative integers. For my case i had numbers like +3, +4, 0, -1 etc. With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Yes. 15 * (-0. The number -63 is less than the number 4. In this case, . In this case, they are both negative, so the bigger number is less. The product is negative but like in Case 1, the magnitude of the product is smaller, so the product is to the right of the whole number on the number line. Scientific notation is similar to decimal notation where numbers are written keeping in mind the base as 10. The product of two negative numbers is always positive. 25 is 0. A negative integer is a whole number that has value less than zero. -1 is only the greatest negative whole integer. The number -63 is more than 4 units away from 0 on the number line. Let’s first re-introduce our number line:. Notice how the negative integers (the ones with the minus in front of them) are the same distance from zero ($ 0$) as the positive numbers — but they are to the left of the $ 0$. With our straightforward guide, you can master whole numbers quickly and easily. It’s greater than 1; The only factor of 1 is 1! That means 1 has only one factor, and prime numbers must have two. Examples are -1 Jan 22, 2024 · As stated above, a negative number is any number smaller than zero. -. For example: A negative number like − 3 is less than a positive number like + 2. Numbers above zero, they call 'purely' positive and numbers below zero 'purely' negative. Numbers starting with 0 and more than 0 is called whole numbers. Sep 12, 2022 · Any number greater than three is a solution to the inequality $x>3$. We show all the solutions to the inequality $x>3$ on the number line by shading in all the numbers to the right of three, to show that all numbers greater than three are solutions. e. Remember, a positive number is always greater than a negative number, and when comparing negative numbers, the one farther from zero is less. For example, 4 and -4 are opposites, and each is 4 units from zero. We will explain the greater than, less than or equal to calculation in the next section. All real numbers greater than or equal to $−7$. Apr 28, 2022 · Is the product of a fraction less than one and a whole number less than or greater than the whole number? It depends: If the whole number is positive then the result is less than the whole number, eg ½ × 2 = 1 < 2 If the whole number is negative then the result is greater than the whole number, eg ½ × -2 = -1 > -2 Prime numbers are numbers greater than 1 that can only be divided evenly by itself and the number 1. Negative integers, fractions or rational numbers are not whole numbers. Mar 9, 2014 · Write a program that reads in ten whole numbers and that outputs the sum of all the numbers greater than zero, the sum of all the numbers less than zero (which will be a negative or zero), and the Dec 15, 2019 · To ensure that the absolute value is greater than 10, we need to choose a negative number whose distance from zero exceeds 10. 2. You need to convert input to an integer and then check that value. For example, the interval [latex][-2,3)[/latex] represents the interval greater than or equal to negative two to less than three. 256}, Denote the following set by the listing method. Negative numbers are numbers that are less than 0. Remember that the higher number you have, the less you have (when the numbers are negative), so a low negative number (like -2) would be greater than a high negative number (like-100). 5 or 10 1/2 are rational) A positive or negative number can be whole or rational. So yes, every integer greater then Whole Numbers: Do not include fractions or decimals. 29 ____ -. The number 4 is greater than the number -4. In this case the product is greater than either number. We could write an equivalent statement as follows: Similarly, since the graph of zero is to the right of the graph of any negative number on the number line, zero is greater than any negative number. Positive numbers are any number greater than 0. 3̅), cases where your pattern is between 0 and 1 (i. An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Here is an example. 56 is bigger than Jan 15, 2025 · In this question, the numbers -4, 0, 4 are all integers, and 8. In mathematical terms, this is represented as any real number that is positive. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers. The whole idea of positive and negative is defined in terms of zero. This also holds true for decimals The following number line displays integers: Number line displaying integers, which includes both negative and positive whole numbers. whole numbers are fine. Conversely a number is less than another when it is to the left on the number line. positive number A number greater than zero. A negative number is a number that is less than zero. Dec 22, 2019 · I don't know how MVC is relevant, but if your ID is an integer, this BRE should do: ^[1-9][0-9]*$ If you want to match real numbers (floats) rather than integers, you need to handle the case above, along with normal decimal numbers (i. This may be helpful for you to think about. Two integers that are the same distance from zero in opposite directions are called opposites. These are: Adding a negative and a positive integer Use set notation and the listing method to describe the set. 5, 3. Positive numbers can either be written without a sign or with a + sign in front of them. Positive and negative numbers are each others opposite. Width are: Apr 27, 2023 · A positive number is any number greater than zero. The opposite of a positive number is negative, and the opposite of a negative number is positive. This means that all negative numbers are less than zero. Dec 21, 2022 · Number greater than zero? A number greater than zero is any numerical value that is larger than zero on the number line. Aug 12, 2011 · The Math. To find its opposite, reflect the number 5 through the origin. Jan 8, 2025 · What is true when the numerator is greater than the denominator? Nothing, other than the fact that the numertaor is greater than the denominator. Therefore, all positive numbers are greater than all negative numbers. a) Remember, the whole numbers are $\{0,1,2,3,…\}$ so 8 is the only whole number given. Then compare them to see which is bigger. Practice Problem $\PageIndex{9}$ Integers are positive and negative whole numbers. Counting numbers are whole numbers. Greater than and less than. In mathematics, a negative number is the opposite of a positive real number. For example, the positive integers are 1 A whole number is any whole counting number that is greater than or equal to zero. Since the user may input garbage, you have to handle the integer conversion by catching a value exception. That sets them apart from composite numbers, which of course can be divided evenly by at least three numbers. All real numbers less than $6$ and greater than zero. What are negative numbers the opposite of? Positive numbers. Comparing two positive integers is the same as comparing whole numbers. A rational number is a number that can be expressed in the form of numerator and denominator, such as P/Q, where P and Q are both integers and Q is not equal to zero. Negative numbers are real numbers. 11 is clearly greater than 10, so -11 is a valid answer. Examples: 0, 7, 212 and 1023 are all whole numbers (But numbers like ½, 1. This means it contains no fractions or decimals. If the number passed into Math. A positive integer is always greater or more than the negative integer. Integers. A debt that is owed may be thought of as a negative asset. What gives it away is the words, "greater than" or "larger than", and "smaller than" or "lesser than". Opposite. This includes integers, fractions, decimals, and irrational numbers that are greater than zero. First, check the signs. Negative integers are normally whole numbers, for example, -3, -5, -8, -10 etc. Thus negative numbers cannot be prime. A prime number is a natural number that is greater than 1 that has exactly two factors, 1 and itself. Dec 15, 2024 · Zero is still an integer because it’s a whole number and doesn’t contain any fractional part. Negative numbers are often used to represent the magnitude of a loss or deficiency. In other words, a prime number is a number that cannot be formed by multiplying two smaller natural numbers since it has to include itself. If two numbers are opposite, they are the same distance away from zero. {x | x is a natural number greater than 46 } The set is infinite because the number of elements in the set is not a whole number For the set C = {6, 8, 10 }, determine n (C ). Any number above zero is a positive number close positive number A number greater than zero eg 6 is greater than 3; For negative numbers, Here each step is worth 0. Negative numbers are those numbers that have a value less than zero. Examples of Negative Numbers (a) ` -3. Whole numbers are 0, 1, 2, and so on. Absolute Value means to think only about how far a number is from zero. 4Whole number negative, decimal negative. Negatives and Positives: Whole Numbers: Are non-negative integers (greater than or equal to zero). Draw a number line, then plot the whole number 5 on the line as a shaded dot. The trickiest thing to understand about negative numbers is that the farther away from 0, the smaller the number. The reason is that negative numbers are greater the closer they are to zero. Zero is neither positive nor negative. The product of two positive numbers is the result of multiplying them together. Whole numbers are fractions, decimals, and negative values that are not included in real numbers. Numbers that include zero, positive and negative numbers are called integers. A whole number is any whole counting number that is greater than or equal to zero. Just look to see which number is bigger. So the whole number 8 is an integer, and −7 is the opposite of a whole number so it is an integer, too. Integers are whole numbers that have an essential role in mathematical calculation. Whole numbers are used to count items that cannot be broken down into smaller pieces or fall below zero, such as objects or quantities. The absolute value of a negative number is its positive counterpart. The teacher is taking this to mean that you cannot express a negative number in scientific notation. Apr 28, 2022 · Can a negative number be greater than a positive number? No. Dec 31, 2019 · Integers are whole numbers that are either greater than zero (positive) or less than zero (negative). Apr 28, 2022 · A negative times a positive is ALWAYS negative, so regardless of its magnitude the product is to the left of the positive whole number on the number line. Let’s go through this. Jan 1, 2025 · Remember, a positive number is always greater than a negative number, and when comparing negative numbers, the one farther from zero is less. On the number line the negative numbers are to the left of zero. , 1,2,3,4,5, Whole Numbers are positive numbers, including 0, with no decimal or fractional parts Integers are a whole number (no fractions or decimals) positive or negative including the number 0, ,-5,-4,-3,-2,-1,0 Imaginary numbers are the square root of a Feb 13, 2022 · We can visualize counting numbers and whole numbers on a number line (see Figure $\PageIndex{1}$). –5 is less than 4, because –5 lies Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number greater than or equal to 1 but less than $10$ and the second factor is a power of $10$. x is an even whole number less than 14} Sep 9, 2024 · If one number is of a greater magnitude than another number, then it is said to be greater than that number. . All real numbers between $−2$ and $2$. Also, notice that 64 is the square of 8 so $−\sqrt{64}=−8$. If the mixed number is negative, then the product of it and the positive whole number will give a product less than the whole number. The set of all whole numbers greater than 8 and less than 13. Aug 3, 2023 · Subtracting a Negative Number from a Negative Number. A negative times a The set of all negative numbers. Two integers on a number line the same distance from zero are known as opposites, an example being -3 and +3. All real numbers less than zero and greater than $−5$. For comparing two negative numbers, we say that the greater number with a negative sign is the smallest of two negative integers. Apr 28, 2022 · The product is greater than the whole number. When negative numbers are added or subtracted, the result can be positive, negative, or zero, depending on the magnitudes of the numbers involved. all shortcircuits, so it's much faster if the list does not qualify. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0. That means they have just two factors. Therefore, the correct answer is 0 and 4 is incorrect. ~In this case the product is actually smaller than either of the On a number line, numbers always increase (become "more positive") to the right and decrease (become "more negative") to the left. So that e. 5 rather than a whole Negative Integers are less than 0 (or to the left of 0 on the number line. This is the reason for which these are called whole numbers. The whole numbers greater than 0 are called positive integers. Jan 5, 2017 · The question is vague to the extreme. Zero is also considered an integer. But * 0.

Is a negative number greater than a whole number. What does positive numbers include? .