When you add a minus sign to a negative number, it becomes positive. The two adjacent negative signs (side by side) cancel each other out. Adding a negative sign to 0 has no effect on its value, therefore -0 Equals 0.

Subtracting a negative sign from a number makes that number negative. The two adjacent negative signs (side by side) are cancelled out. Subtracting a negative sign from 0 has no effect on its value, therefore 0 Subtracting a negative number from 0 also has no effect on its value; the result is always 0.

Multiplying or dividing by **a negative number** does not change **its value**. For example, if I say that my weight (positive number) multiplied by -10 is equal to 40kg, then this means that my weight multiplied by 10 gives me 40kg. Multiplying or dividing by a negative number simply reverses the direction in which you read the numbers.

Raising **a negative number** to a power reduces the negative exponent by 1. For example, if I say that (x-4) raised to the power of 3 is equal to x^3-12x, then this means that (x-4) raised to **the third power** is equal to x^3-12x.

- What should you do when you see a subtraction symbol next to a negative symbol?
- How do you handle positive and negative signs?
- What do you get when you subtract two negatives?
- What does "negative minus negative" equal?
- Why do we reverse the inequality symbol when dividing and multiplying by a negative number?
- Why does subtracting two negatives make a positive?
- What does a minus sign in front of a number mean?

Maintain the same sign when multiplying a positive and a positive number, or a negative and a negative number. When a positive and a negative number are multiplied together, the outcome is always negative. When a number is multiplied by zero, the result is zero, which is neither positive nor negative. Multiplying a positive number by any other number will also yield a positive number.

For example, if you multiply 6 x (-5), you get -30. -30 is still a negative number. If you were to multiply 6 x 5, you would get 30. 30 is now a positive number. There are two rules to remember when multiplying numbers with **different signs**: 1 If one of the numbers is negative, then the product must be negative; 2 If both numbers are positive or negative, then the product will be positive or negative depending on which number comes first in the multiplication.

There are three ways to indicate that you want to perform **a sign-changing operation** on two numbers: + - &; |. The plus sign indicates that you want the results to have the same sign as **the first number**. The minus sign does the opposite: it changes the sign of the result. The bar (|) means that the results should have the opposite sign of the second number.

Negative Number Subtraction When you remove **a negative number**, the two negatives add together to produce a positive. -10-(-10) does not equal 20. Instead, consider flipping one of the negative signs upright so that it crosses over the other and becomes a plus. -10+(-10) equals 20.

Positive Subtraction of **a negative number** from a negative number (a minus sign followed by **a negative sign**) produces a plus sign. As a result, instead of removing a negative, you add a positive. For example, if you have $10, then -$5 is equivalent to +$5.

Here are some other examples: -2 -4 = +6; -7 -1 = +8; and -9 2 = +12.

Negative numbers are numbers with a "-" prefix or suffix. There are three main types of negative numbers: absolute, relative, and mixed.

Absolute negatives do not change when you divide by 0. So -42/0 would be invalid, while -(42/0) would be valid. Absolute negatives are used often in mathematics and science. For example, an electric charge can only have **two values**: positive or negative. Electricity cannot be zero, so it must be either positive or negative. Also, in physics, the position x direction of **any object** can take on two values: left or right. It cannot be somewhere in between, so for something to be located at a specific place, its position must be left or right.

Relative negatives change value when you divide by 0.

When you multiply both sides by a negative value, the greater side gets a "bigger" negative number, which indicates it is now smaller than **the other side**! This is why, anytime you multiply by a negative integer, you must reverse the sign. Same with divisions - if you divide both sides of an equation by a negative number, you'll need to reverse the sign on the divisor.

For example, say you want to know what number you would need to multiply by **a negative number** so that you get 10. Well, since 3 x (-1) = -3, you need to make 10 negative by adding three zero's after it. Thus, -10 is the answer. Multiply this by another negative number (say -2), and you get -20 as **your answer**.

You can use this same logic for divisions too. For example, if you were to divide 100 by -5, you'd end up with 20 because you'd be reducing the fraction from 100/5 to 80. If you wanted to solve for x in 300/x, you could divide both sides by -5 and get 120 as your answer.

In general, if you divide or multiply **two negatives** together, you have to reverse the sign on at least one of them.

When you remove a negative number, the two negatives add together to produce a positive. It is actually equal to 10. This makes sense because negative numbers can be added and multiplied just like any other number.

All that being said, there are times when you will need to remove a negative number's value. For example, if you want to know how much money someone has in their savings account but they don't want to give you the number, you could ask them how much they have in their savings account minus their current debt. The answer to this question is then used as an estimate of their savings.

Subtracting two positives or two negatives will always yield a positive or negative number. For example, 5 - 7 = 2, 25 - 15 = 10, and 35 - 25 = 10.

There are times when you will need to use math with negatives. But first, you should understand that they turn other numbers negative too. If you didn't understand this concept, all of your problems would be solved by adding 1 to everything!

Negative integers, or whole numbers smaller than zero, are represented by the minus sign (no fractions). To express a negative integer, place a minus sign before the full number. For instance, the negative number 3 is denoted as: -3. Integer operations with the "Minus" symbol.

For example, if you were to ask someone the sum of -5 and 8, they would answer 17 because -5 + 8 = 17. Whole numbers plus or minus one can be used instead; for example, the sum of 5 and 8 can be expressed as: 5-4=1. Integer operations with **the minus symbol** have the same meaning as other arithmetic operators, except that results must be positive integers.

Whole numbers can also be divided by integers with the minus symbol. The result is always a whole number (not fraction), even if the divisor is equal to or larger than the dividend. For example, 10/2 = 5, not 2.5. Divisions by integers with **the minus symbol work** exactly like **other arithmetic operators**, except that the result must be positive. For example, 7/-2 = 3.5.

Integers can also be multiplied by integers with the minus symbol. The result is always an integer, even if the multiplier is equal to or larger than the multiplicand. For example, 9*-3 = 33, not 27.