What Happens When You Add Two Negative Numbers?

What are the rules for adding and subtracting integers?

To add integers having the same sign, keep the same sign and add the absolute value of each number.

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.

Subtract an integer by adding its opposite..

What is the quotient of two negative numbers?

When you divide two negative numbers then the quotient is positive.

Why do you add when subtracting a negative number?

When you’d subtracted a positive number, you’d moved to the left. Now, if you’re adding a negative, you can regard this is pretty much the same as when you were subtracting a positive, if you view “adding a negative” as adding to the left. That is, by plus-ing a minus, you’re adding in the other direction.

What happens when you add two negative fractions?

A negative fraction added to another negative fraction will result in a negative fraction as result. A negative fraction subtracted from another is the same thing as adding the positive complement of that fraction. Make the denominators (the bottom of the fraction) the same, if they are not already.

Why do two negative numbers make a positive?

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

What is the rule for subtracting negative numbers?

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

What is the rule for adding and subtracting fractions?

To add or subtract fractions they must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.

What is the rule for adding negative numbers?

The Rules:RuleExample+(+)Two like signs become a positive sign3+(+2) = 3 + 2 = 5−(−)6−(−3) = 6 + 3 = 9+(−)Two unlike signs become a negative sign7+(−2) = 7 − 2 = 5−(+)8−(+2) = 8 − 2 = 62 more rows

Why does subtracting a negative make a positive?

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

What happens when you add two negative integers?

Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Do you add two negative numbers?

Adding two negative numbers together? Just add the absolute value of each number together, put a negative sign in front, and you have your answer!

Does flipping a negative fraction make it positive?

Reciprocals of negative numbers work just like reciprocals of positive numbers, except that the positive or negative sign “goes with” the reciprocal. This makes things very easy if you think of it that way. So, the reciprocal of 5 is 1/5, but the reciprocal of -5 is -1/5. It’s that simple.

What’s a negative times a positive?

Rule 2: A negative number times a positive number equals a negative number. When you multiply a negative number to a positive number, your answer is a negative number. It doesn’t matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Do 2 negatives make a positive when dividing?

When you are dividing with negative numbers and positive numbers, just be sure to count the number of negative signs. Two negative signs will cancel each other out. So if you have an even number (or zero) negative signs, then the answer will be positive.

What is the rule for adding and subtracting positive and negative numbers?

When adding positive numbers, count to the right. When adding negative numbers, count to the left. When subtracting positive numbers, count to the left. When subtracting negative numbers, count to the right.

What does a positive plus a negative equal?

Multiplication and Division If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

What if the numerator is negative?

Remember that fractions represent division. … When the numerator and denominator have different signs, the quotient is negative. If both the numerator and denominator are negative, then the fraction itself is positive because we are dividing a negative by a negative.

Is a negative fraction an integer?

The integers are …, -4, -3, -2, -1, 0, 1, 2, 3, 4, … — all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. … For example, -5 is an integer but not a whole number or a natural number.

When a fraction is negative are both numbers negative?

As long as there is only one negative sign, either in front of the fraction, or in the numerator, or in the denominator, the fraction represents a negative quantity. As the examples above illustrate, you are welcome to move the negative sign around from where it is to either of the other two positions…