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Is the difference between two positive integers always positive?

Author

David Perry

Updated on June 29, 2026

The subtrahend is the number 6. The differencebetween two positive integers can be either positive,negative or zero. The difference between a positiveand a negative integer can be positive or negative.When you subtract a negative integer from a positiveinteger, the difference is alwayspositive.

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Beside this, when you subtract two positive integers is the result always a positive integer?

To subtract integers, change the sign on theinteger that is to be subtracted. If bothsigns are positive, the answer will be positive. Ifboth signs are negative, the answer will be negative. If thesigns are different subtract the smaller absolute value fromthe larger absolute value.

Similarly, what is a positive minus a negative? Rule 4: Subtracting a negative number from apositive number—when you see the subtraction(minus) sign followed by a negative sign, turn thetwo signs into a plus sign. Thus, instead of subtracting anegative, you're adding a positive, so you have a simpleaddition problem.

Just so, what is negative and positive integers?

A positive integer is a number which is more than0. A negative integer is a number which is less than 0.There are a few simple rules worth remembering when adding andsubtracting a mix of positive and negative integers:Positive + Positive = Positive. For example: 4+ 2 = 6.

What are the rules for adding and subtracting positive and negative numbers?

The Rules:

Rule Example
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
Related Question Answers

What is the subtraction rule?

Subtraction Rule. The rule ofsubtraction follows directly from two important propertiesof probability: The probability of a sample point ranges from 0 to1. The sum of probabilities of all the sample points in a samplespace equals 1.

Can a whole number be negative?

The whole numbers are the numbers 0, 1, 2,3, 4, and so on (the natural numbers and zero). Negativenumbers are not considered "whole numbers." All naturalnumbers are whole numbers, but not all wholenumbers are natural numbers since zero is a wholenumber but not a natural number.

How do you find the difference between two numbers?

First: work out the difference (increase) betweenthe two numbers you are comparing. Then: divide the increaseby the original number and multiply the answer by 100. Ifyour answer is a negative number then this is a percentagedecrease.

How do you add positive and negative numbers?

Adding Positive and Negative Numbers
  1. Rule 1: Adding positive numbers to positive numbers—it'sjust normal addition.
  2. Rule 2: Adding positive numbers to negative numbers—countforward the amount you're adding.
  3. Rule 3: Adding negative numbers to positive numbers—countbackwards, as if you were subtracting.

What is the rule for adding integers?

Rule: The sum of any integer and itsopposite is equal to zero. Summary: Adding two positiveintegers always yields a positive sum; adding twonegative integers always yields a negative sum. To find thesum of a positive and a negative integer, take the absolutevalue of each integer and then subtract thesevalues.

Is 0 a rational number?

A number is rational if it can berepresented as pq with p,q∈Z and q≠0. It can berepresented as a ratio of two integers as well as ratio of itselfand an irrational number such that zero is not dividend inany case. People say that 0 is rational because it isan integer.

Is zero a positive integer?

An integer is a whole number that can be eithergreater than 0, called positive, or less than 0, callednegative. Zero is neither positive nor negative. Twointegers that are the same distance from the origin inopposite directions are called opposites.

Why do two negatives make a positive?

This is in fact the reason why the negative numbers wereintroduced: so that each positive number would havean additive inverse. The fact that the product of twonegatives is a positive is therefore related to the factthat the inverse of the inverse of a positive number is thatpositive number back again.

Does adding two negatives make a positive?

The signs add together physically. When you have two negative signs, one turnsover, and they add together to make a positive. Ifyou have a positive and a negative, there is one dashleft over, and the answer is negative.

What is a positive plus a positive?

If two positive numbers are multiplied togetheror divided, the answer is positive. If two negative numbersare multiplied together or divided, the answer is positive.If a positive and a negative number are multiplied ordivided, the answer is negative.

What is a negative times a positive?

Two negatives make a positive, so anegative number times a negative number makesa positive number. If you look at it on the number line,walking backwards while facing in the negative direction,you move in the positive direction. For example. -2 x -4 areboth negative, so we know the answer is going to bepositive.

How do you subtract integers?

To subtract integers, change the sign on the integer thatis to be subtracted.
  1. If both signs are positive, the answer will be positive.Example: 14 - (-6) = 14 + 6 = 20.
  2. If both signs are negative, the answer will be negative.
  3. If the signs are different subtract the smaller absolute valuefrom the larger absolute value.

What are negative numbers called?

A negative number is a number thatindicates an opposite. The counting numbers (1, 2, 3, and soon) are all positive numbers. The positive numbers,negative numbers, and the number zero, takentogether, are called "signed numbers" orintegers. The number zero is neither positive nornegative.

What is positive and negative acceleration?

Assuming rightward is positive, the velocity ispositive whenever the car is moving to the right, and thevelocity is negative whenever the car is moving to the left.The acceleration points in the same direction as thevelocity if the car is speeding up, and in the opposite directionif the car is slowing down.

How do you know if an integer is positive or negative?

If the signs are the same, the answer ispositive. If the signs are different, the answer isnegative. When dividing positive andnegative values, you follow the same rules asmultiplication: Positive ÷ positive =positive.

What is the set of all positive integers?

Positive Integers Definition The set of positive integers is the sameas the set of natural numbers. The positive integersare the numbers 1, 2, 3, 4, , sometimes called the natural numbersor counting numbers. Positive integers are denoted asZ+.

What are the four rules of maths?

The four basic mathematicaloperations--addition, subtraction, multiplication, anddivision--have application even in the most advancedmathematical theories.

What happens when you minus a negative number?

Rule 3: Subtracting a negative number from anegative number – a minus sign followed by anegative sign, turns the two signs into a plus sign. So,instead of subtracting a negative, you are adding apositive. Basically, - (-4) becomes +4, and then you add thenumbers. For example, say we have the problem -2 -–4.